Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 66 to 53 computations (19.7% saved)

sample2.8s (13.9%)

Results

2.8s

8256×

body

256

valid

preprocess124.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
376×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
376×	`distribute-rgt-in_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

eval2.0ms (0%)

Compiler: Compiled 111 to 86 computations (22.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

14.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Status

Error

Program

▶

14.1b

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

▶

14.1b

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize130.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	14.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 311 to 225 computations (27.7% saved)

series53.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
12.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
10.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
3.0ms	x	@	0	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
3.0ms	x	@	inf	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`add-sqr-sqrt_binary64`
270×	`add-log-exp_binary64`
270×	`pow1_binary64`
269×	`*-un-lft-identity_binary64`
269×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	153
1	565	129

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 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simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-neg_binary64`
650×	`associate--l+_binary64`
529×	`associate-+r+_binary64`
470×	`fma-def_binary64`
453×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3025
1	700	2888
2	1887	2510
3	7834	2510

Stop Event

1×	node limit

Counts

181 → 154

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

Outputs
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))
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(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (fma.f64 3275911/10000000 x 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (fma.f64 3275911/10000000 x 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (fma.f64 3275911/10000000 x 1))
(/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 (+.f64 8890523/31250000 (-.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (fma.f64 3275911/10000000 x 1))

localize162.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
✓	0.8b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 447 to 340 computations (23.9% saved)

series39.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
8.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
5.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
1.0ms	x	@	inf	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`add-sqr-sqrt_binary64`
305×	`*-un-lft-identity_binary64`
305×	`pow1_binary64`
302×	`add-log-exp_binary64`
301×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	642	95

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
(*.f64 3275911/10000000 (fabs.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (sqrt.f64 (-.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2)) (/.f64 1 (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (-.f64 1 (pow.f64 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 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simplify161.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

611×	`div-sub_binary64`
568×	`fma-def_binary64`
463×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
347×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	1476
1	242	1452
2	440	1428
3	1382	1428
4	7234	1428

Stop Event

1×	node limit

Counts

140 → 114

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))

eval1.1s (5.5%)

Compiler: Compiled 21405 to 16540 computations (22.7% saved)

prune183.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	303	17	320
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	304	18	322

Error

14.0b

Counts

322 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	15.0b	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
	15.0b	(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
	15.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	15.0b	(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
▶	45.1b	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
	15.0b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	45.1b	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	15.0b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	45.9b	(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
▶	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.8b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 2025 to 1652 computations (18.4% saved)

localize157.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
✓	1.6b	(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
✓	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 410 to 301 computations (26.6% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
1.0ms	x	@	-inf	(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`add-sqr-sqrt_binary64`
326×	`pow1_binary64`
325×	`*-un-lft-identity_binary64`
325×	`add-log-exp_binary64`
324×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	100
1	720	82

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))

(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1421413741/1000000000 (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 2) (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2871848519189792942908228021/1000000000000000000000000000 (/.f64 3068549660061560529467443683/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))) (+.f64 2020417023103615081/1000000000000000000 (+.f64 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (*.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2020417023103615081/1000000000000000000 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2871848519189792942908228021/1000000000000000000000000000 (/.f64 3068549660061560529467443683/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))) (neg.f64 (+.f64 2020417023103615081/1000000000000000000 (+.f64 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (*.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2020417023103615081/1000000000000000000 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (neg.f64 (+.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2871848519189792942908228021/1000000000000000000000000000 (pow.f64 (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 3)) (+.f64 2020417023103615081/1000000000000000000 (-.f64 (*.f64 (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) (*.f64 1421413741/1000000000 (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4))) (cbrt.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)) (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2) 1061405429/1000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) 1))))))

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

910×	`fma-neg_binary64`
611×	`div-sub_binary64`
463×	`distribute-rgt-in_binary64`
454×	`fma-def_binary64`
447×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	1296
1	214	1272
2	399	1248
3	1300	1248
4	6831	1224

Stop Event

1×	node limit

Counts

96 → 70

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
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(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (+.f64 31853699/125000000 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

localize110.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.0b	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 280 to 225 computations (19.6% saved)

series10.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
1.0ms	x	@	inf	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	0	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	-inf	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	inf	(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite155.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
279×	`add-sqr-sqrt_binary64`
264×	`add-log-exp_binary64`
263×	`pow1_binary64`
263×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	131
1	558	127
2	7811	127

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

Outputs
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(pow.f64 (exp.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 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simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

645×	`associate-*l/_binary64`
447×	`fma-def_binary64`
380×	`fma-neg_binary64`
346×	`associate-/l/_binary64`
286×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	732
1	371	700
2	1108	667
3	3917	629

Stop Event

1×	node limit

Counts

182 → 191

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (.f64 10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) (.f64 -10000000/3275911 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
745170407/1000000000
(+.f64 745170407/1000000000 (*.f64 -8007952583978091/10000000000000000 x))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (.f64 -8007952583978091/10000000000000000 x)))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (+.f64 (.f64 -8007952583978091/10000000000000000 x) (*.f64 -212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 x (.f64 x -40002364818879768868679/20000000000000000000000))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (fma.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (.f64 x x) (fma.f64 564193179035109/500000000000000 x (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (.f64 (.f64 x x) (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (.f64 10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 -1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) (.f64 -10000000/3275911 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))))
(fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 x x)) 1705910477000000000000/35155743162854883031) (.f64 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (/.f64 -53932632800000/10731592879921 x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000)
(fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(+.f64 (.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000) (fma.f64 -3477069720320819/10000000000000000 x -195873299/500000000))
(fma.f64 (*.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000))
(fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000))
(fma.f64 x (+.f64 -3477069720320819/10000000000000000 (*.f64 x 11390570944565894491109/100000000000000000000000)) -195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
(+.f64 (fma.f64 11390570944565894491109/100000000000000000000000 (.f64 x x) (fma.f64 -3477069720320819/10000000000000000 x (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(+.f64 (fma.f64 (.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 (.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))) -195873299/500000000)
(fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) (fma.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 -195873299/500000000)))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) -1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (/.f64 1061405429/327591100 x) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 -1453152027/1000000000 (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1061405429/327591100 x) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 1453152027/1000000000 (/.f64 106140542900000/10731592879921 (*.f64 x x)))))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) -1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))))
(fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) (fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
745170407/1000000000
(+.f64 745170407/1000000000 (*.f64 -8007952583978091/10000000000000000 x))
(+.f64 745170407/1000000000 (*.f64 x -8007952583978091/10000000000000000))
(fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (.f64 -8007952583978091/10000000000000000 x)))
(fma.f64 12609378273575437031483/20000000000000000000000 (.f64 x x) (+.f64 745170407/1000000000 (.f64 x -8007952583978091/10000000000000000)))
(fma.f64 (*.f64 x x) 12609378273575437031483/20000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000))
(fma.f64 x -8007952583978091/10000000000000000 (fma.f64 (*.f64 x x) 12609378273575437031483/20000000000000000000000 745170407/1000000000))
(+.f64 (.f64 12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 745170407/1000000000 (+.f64 (.f64 -8007952583978091/10000000000000000 x) (*.f64 -212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 12609378273575437031483/20000000000000000000000 (.f64 x x) (+.f64 745170407/1000000000 (fma.f64 -8007952583978091/10000000000000000 x (.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000))))
(+.f64 (fma.f64 (.f64 x x) 12609378273575437031483/20000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)) (.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000 (fma.f64 x -8007952583978091/10000000000000000 745170407/1000000000)))
(fma.f64 x (*.f64 x 12609378273575437031483/20000000000000000000000) (fma.f64 x -8007952583978091/10000000000000000 (fma.f64 (pow.f64 x 3) -212652635069622415692337598339/500000000000000000000000000000 745170407/1000000000)))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 71124184/81897775 x))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 -71124184/81897775 x))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 -71124184/81897775 x))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(/.f64 -71124184/81897775 x)
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 71124184/81897775 (/.f64 1 x)))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 71124184/81897775 x))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 -71124184/81897775 x))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 -71124184/81897775 x))
(-.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))))
(-.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))))
(+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 71124184/81897775 x) (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (+.f64 (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4))) (+.f64 (/.f64 -71124184/81897775 x) (/.f64 -4580476245000000000000/35155743162854883031 (pow.f64 x 3))))

localize136.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 320 to 261 computations (18.4% saved)

series15.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	inf	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
1.0ms	x	@	0	(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

300×	`add-sqr-sqrt_binary64`
285×	`pow1_binary64`
284×	`*-un-lft-identity_binary64`
284×	`add-log-exp_binary64`
283×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	612	97

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

(/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 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simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
673×	`associate-+r+_binary64`
423×	`distribute-rgt-in_binary64`
402×	`distribute-lft-in_binary64`
351×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	1676
1	837	1527
2	2310	1232

Stop Event

1×	node limit

Counts

94 → 104

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
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(/.f64 71124184/81897775 x)
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Outputs
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(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) (/.f64 -170591047700000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fma.f64 3275911/10000000 x 1)))))) (+.f64 1 (/.f64 (/.f64 4580476245000000000000/35155743162854883031 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 x 3))) (pow.f64 (exp.f64 x) x)))) (/.f64 71124184/81897775 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (fma.f64 3275911/10000000 x 1) x))))
(-.f64 1 (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(-.f64 1 (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 -31853699/125000000 (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 1 (.f64 71124184/81897775 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) x))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (/.f64 71124184/81897775 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 x (exp.f64 (.f64 x x)))))) (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
(+.f64 (/.f64 71124184/81897775 (.f64 x (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x)))) (+.f64 1 (/.f64 -31853699/125000000 (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) (/.f64 71124184/81897775 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (fma.f64 3275911/10000000 x 1) x))))
(-.f64 (+.f64 1 (.f64 71124184/81897775 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) x))))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2)))))))
(-.f64 (+.f64 1 (/.f64 71124184/81897775 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 x (exp.f64 (.f64 x x)))))) (+.f64 (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (/.f64 170591047700000/10731592879921 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (.f64 x x) (exp.f64 (*.f64 x x)))))))
(+.f64 (/.f64 71124184/81897775 (.f64 x (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x)))) (-.f64 1 (+.f64 (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))) (/.f64 170591047700000/10731592879921 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (.f64 x x) (pow.f64 (exp.f64 x) x)))))))
(+.f64 1 (+.f64 (/.f64 71124184/81897775 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (fma.f64 3275911/10000000 x 1) x))) (+.f64 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) (/.f64 -170591047700000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (fma.f64 3275911/10000000 x 1))))))))
(-.f64 (+.f64 1 (+.f64 (.f64 71124184/81897775 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2)))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 71124184/81897775 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 x (exp.f64 (.f64 x x))))) (/.f64 4580476245000000000000/35155743162854883031 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (pow.f64 x 3) (exp.f64 (.f64 x x)))))) (+.f64 (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (/.f64 170591047700000/10731592879921 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (.f64 x x) (exp.f64 (.f64 x x))))))))
(+.f64 (+.f64 (/.f64 71124184/81897775 (.f64 x (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x)))) (/.f64 4580476245000000000000/35155743162854883031 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x))))) (-.f64 1 (+.f64 (/.f64 31853699/125000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))) (/.f64 170591047700000/10731592879921 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (.f64 (.f64 x x) (pow.f64 (exp.f64 x) x)))))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) (/.f64 -170591047700000/10731592879921 (.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fma.f64 3275911/10000000 x 1)))))) (+.f64 1 (/.f64 (/.f64 4580476245000000000000/35155743162854883031 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 x 3))) (pow.f64 (exp.f64 x) x)))) (/.f64 71124184/81897775 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (fma.f64 3275911/10000000 x 1) x))))
-745170407/1000000000
(-.f64 (*.f64 8007952583978091/10000000000000000 x) 745170407/1000000000)
(fma.f64 8007952583978091/10000000000000000 x -745170407/1000000000)
(fma.f64 x 8007952583978091/10000000000000000 -745170407/1000000000)
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000)
(+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -745170407/1000000000)
(fma.f64 (*.f64 x x) -12609378273575437031483/20000000000000000000000 (fma.f64 x 8007952583978091/10000000000000000 -745170407/1000000000))
(fma.f64 x 8007952583978091/10000000000000000 (fma.f64 (*.f64 -12609378273575437031483/20000000000000000000000 x) x -745170407/1000000000))
(-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 8007952583978091/10000000000000000 x (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))) -745170407/1000000000)
(fma.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000 (+.f64 (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000) (fma.f64 x 8007952583978091/10000000000000000 -745170407/1000000000)))
(fma.f64 x (*.f64 x -12609378273575437031483/20000000000000000000000) (fma.f64 x 8007952583978091/10000000000000000 (fma.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000 -745170407/1000000000)))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 170591047700000/10731592879921 x) x)))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -170591047700000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -170591047700000/10731592879921 (*.f64 x x)) (/.f64 -99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -170591047700000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 170591047700000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 170591047700000/10731592879921 x) x)))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -170591047700000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4580476245000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 170591047700000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 99695994690000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 170591047700000/10731592879921 (*.f64 x x)) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 170591047700000/10731592879921 x) x) (/.f64 99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 4580476245000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -170591047700000/10731592879921 (*.f64 x x)) (/.f64 -99695994690000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))

localize224.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3)
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.5b	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
✓	14.0b	(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 363 to 296 computations (18.5% saved)

series17.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
3.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
3.0ms	x	@	inf	(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
1.0ms	x	@	inf	(pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3)

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`add-sqr-sqrt_binary64`
286×	`add-log-exp_binary64`
285×	`log1p-expm1-u_binary64`
285×	`expm1-log1p-u_binary64`
283×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	180
1	634	180

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))

(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)

(pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3)

Outputs

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simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-rgt-in_binary64`
706×	`distribute-lft-in_binary64`
557×	`times-frac_binary64`
446×	`cancel-sign-sub-inv_binary64`
335×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2134
1	869	1920
2	3594	1743

Stop Event

1×	node limit

Counts

129 → 118

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (.f64 10000000/3275911 (/.f64 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))) (+.f64 (.f64 1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3)))))) (.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(cbrt.f64 1/1000000000000000000000000000)
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1
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1/1000000000000000000000000000
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1
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1
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Outputs
1/1000000000
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(fma.f64 564193179035109/500000000000000 x 1/1000000000)
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1
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(-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) -191122194/81897775 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 50965918400000/10731592879921 (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) -53932632800000/10731592879921)) 30000000/3275911) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 25482959200000/10731592879921 (/.f64 (.f64 -63707398/81897775 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 4058632559930404/6707245549950625) 107865265600000/10731592879921))) x)))))))) (fma.f64 -254829592/81897775 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) (pow.f64 x 3)) 1)) (fma.f64 1705910477000000000000/35155743162854883031 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 -85349020800000/10731592879921 (/.f64 3411820954000000000000/35155743162854883031 x)))))
1
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)) 1)
(+.f64 1 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) -191122194/81897775))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) -191122194/81897775 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)) (+.f64 (.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 50965918400000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))))) (+.f64 (.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -56899347200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) x) (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (+.f64 1 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) 76448877600000/10731592879921))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) -85349020800000/10731592879921))
(+.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 76448877600000/10731592879921 (.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)))) (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) 1)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x 191122194/81897775))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 85349020800000/10731592879921))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -191122194/81897775)) (+.f64 (+.f64 1 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 76448877600000/10731592879921 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) x) (/.f64 8117265119860808/6707245549950625 x)))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) x) (/.f64 4058632559930404/6707245549950625 x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 85349020800000/10731592879921))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)) (+.f64 1 (+.f64 (.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 50965918400000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 63707398/81897775 (.f64 (-.f64 (+.f64 (.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))) (.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 -10000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 254829592/81897775 (.f64 (-.f64 (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 -20000000/3275911 (-.f64 (.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))) (+.f64 (.f64 -3411820954000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))))) (pow.f64 x 3))) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))))))) (+.f64 (.f64 -56899347200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 x x)) 191122194/81897775) x) 1) (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 50965918400000/10731592879921 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 63707398/81897775 (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 (exp.f64 (.f64 x x)) 50965918400000/10731592879921)) (.f64 56899347200000/10731592879921 (exp.f64 (.f64 x x))))) (fma.f64 -10000000/3275911 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) (fma.f64 254829592/81897775 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) 53932632800000/10731592879921)) (.f64 (.f64 (exp.f64 (.f64 x x)) -53932632800000/10731592879921) -20000000/3275911)))) (.f64 (exp.f64 (.f64 x x)) -5117731431000000000000/35155743162854883031)) (pow.f64 x 3)) (.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)))))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) -85349020800000/10731592879921))
(+.f64 (-.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x 191122194/81897775))) (-.f64 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) x) (/.f64 4058632559930404/6707245549950625 x)) (/.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921))) 63707398/81897775 (.f64 (pow.f64 (exp.f64 x) x) 539326328000000000000/35155743162854883031)) (-.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775 (.f64 (pow.f64 (exp.f64 x) x) 1078652656000000000000/35155743162854883031)) (.f64 (pow.f64 (exp.f64 x) x) -5117731431000000000000/35155743162854883031))) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 76448877600000/10731592879921))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -85349020800000/10731592879921) (.f64 x x))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) -191122194/81897775 1) (+.f64 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (.f64 x x)) (-.f64 (+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) x) (/.f64 4058632559930404/6707245549950625 x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) 76448877600000/10731592879921)) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775) (.f64 (pow.f64 (exp.f64 x) x) 1617978984000000000000/35155743162854883031)) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) 4058632559930404/6707245549950625) 107865265600000/10731592879921)) 63707398/81897775) 5117731431000000000000/35155743162854883031))) (pow.f64 x 3)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) 85349020800000/10731592879921)))

localize192.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.8b	(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
✓	14.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 362 to 270 computations (25.4% saved)

series14.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
2.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

314×	`add-sqr-sqrt_binary64`
298×	`pow1_binary64`
297×	`*-un-lft-identity_binary64`
297×	`add-log-exp_binary64`
296×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	107
1	648	91

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)

(+.f64 1421413741/1000000000 (/.f64 (-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 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simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-neg_binary64`
525×	`associate-+r+_binary64`
494×	`associate--l+_binary64`
433×	`fma-def_binary64`
427×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2297
1	625	2177
2	1759	1894
3	7326	1894

Stop Event

1×	node limit

Counts

122 → 110

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5))) (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
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(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
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(-.f64 (+.f64 (.f64 8890523/31250000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
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(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))
(-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))

eval1.4s (6.8%)

Compiler: Compiled 47478 to 37001 computations (22.1% saved)

prune208.0ms (1%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	769	17	786
Fresh	5	7	12
Picked	0	1	1
Done	4	1	5
Total	778	26	804

Error

0.6b

Counts

804 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	16.2b	(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	34.7b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	32.6b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
▶	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	45.9b	(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
	34.7b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	29.8b	(pow.f64 1/1000000000000000000000000000 1/3)
	29.5b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	29.9b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
	15.2b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	30.3b	(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
	30.7b	(fma.f64 564193179035109/500000000000000 x 1/1000000000)
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	15.3b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.8b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	15.0b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
▶	30.7b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	15.0b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
✓	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	31.6b	(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
	30.4b	1
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	28.5b	1/1000000000

Compiler

Compiled 1623 to 1327 computations (18.2% saved)

localize150.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
	1.6b	(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
✓	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 426 to 315 computations (26.1% saved)

series9.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
0.0ms	x	@	inf	(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

351×	`add-sqr-sqrt_binary64`
333×	`pow1_binary64`
332×	`*-un-lft-identity_binary64`
332×	`add-log-exp_binary64`
331×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	749	71

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 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(fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 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3275911/10000000 x 1))) (pow.f64 (exp.f64 x) x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4))) (cbrt.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)) (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1061405429/1000000000) (fma.f64 3275911/10000000 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2) 1061405429/1000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1061405429/1000000000) (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2))) 1))))))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
548×	`fma-def_binary64`
499×	`distribute-rgt-in_binary64`
485×	`distribute-lft-in_binary64`
339×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1088
1	210	1064
2	398	1040
3	1299	1040
4	7135	1016

Stop Event

1×	node limit

Counts

58 → 44

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))

Outputs
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(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (-.f64 (+.f64 (+.f64 31853699/125000000 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))) (-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	0.2b	(*.f64 564193179035109/500000000000000 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 564193179035109/500000000000000 x)
0.0ms	x	@	inf	(*.f64 564193179035109/500000000000000 x)
0.0ms	x	@	-inf	(*.f64 564193179035109/500000000000000 x)
0.0ms	x	@	inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
0.0ms	x	@	-inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	132	9
2	1606	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/1000000000000000000 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))) (/.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 564193179035109/500000000000000 x 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 2) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))))

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

46 → 45

Calls

Call 1

Inputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

Outputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
✓	0.1b	(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)))
✓	0.4b	(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
✓	18.5b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)

Compiler

Compiled 61 to 41 computations (32.8% saved)

series14.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
3.0ms	x	@	-inf	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
1.0ms	x	@	0	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)))
1.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)))

rewrite152.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`log-prod_binary64`
496×	`fma-def_binary64`
378×	`pow2_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	321	38
2	4052	38

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)

Outputs
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simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

837×	`cancel-sign-sub-inv_binary64`
399×	`div-sub_binary64`
370×	`fma-neg_binary64`
363×	`fma-def_binary64`
290×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	778
1	349	748
2	1103	714
3	4994	713

Stop Event

1×	node limit

Counts

153 → 150

Calls

Call 1

Inputs
(cbrt.f64 1/1000000000000000000000000000)
(+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000))
(+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000)))
(+.f64 (.f64 564193179035109/500000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (.f64 564193179035109/250000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 5)) 1/3) (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000))))
(*.f64 (cbrt.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) x)
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(*.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2))
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1/1000000000000000000000000000
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(*.f64 1692579537105327/500000000000000000000000000000000 x)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
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(*.f64 1692579537105327/500000000000000000000000000000000 x)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))

Outputs
(cbrt.f64 1/1000000000000000000000000000)
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(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (.f64 x x) (.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 76395346264731119377981807445403/20000000000000000000000000000000000000000)))
(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
1/1000000000000000000000000000
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(*.f64 1692579537105327/500000000000000000000000000000000 x)
(*.f64 x 1692579537105327/500000000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(*.f64 1692579537105327/500000000000000000000000000000000 x)
(*.f64 x 1692579537105327/500000000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)
(+.f64 1/1000000000000000000000000000 (*.f64 1692579537105327/500000000000000000000000000000000 x))
(+.f64 1/1000000000000000000000000000 (*.f64 x 1692579537105327/500000000000000000000000000000000))
(fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)

localize127.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 3275911/10000000 (fabs.f64 x) 1)
✓	0.2b	(fma.f64 3275911/10000000 x 1)
✓	0.3b	(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	14.0b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 164 to 127 computations (22.6% saved)

series49.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
4.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	inf	(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
1.0ms	x	@	0	(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite193.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`prod-diff_binary64`
224×	`add-sqr-sqrt_binary64`
213×	`pow1_binary64`
212×	`*-un-lft-identity_binary64`
212×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	69
1	462	67
2	6384	67

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
(fma.f64 3275911/10000000 x 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 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simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-neg_binary64`
454×	`fma-def_binary64`
330×	`sub-neg_binary64`
303×	`associate-+l+_binary64`
272×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1321
1	530	1204
2	1418	1032
3	5502	874

Stop Event

1×	node limit

Counts

225 → 193

Calls

Call 1

Inputs
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(-.f64 (+.f64 1 (+.f64 (.f64 116284197065161/200000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 95409473325573888683/3125000000000000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (+.f64 (.f64 1029667143/1000000000 (-.f64 (.f64 10731592879921/25000000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (.f64 3275911/10000000 (/.f64 (fabs.f64 x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 10731592879921/100000000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 116284197065161/200000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
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(-.f64 1 (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))
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(-.f64 (+.f64 1 (.f64 71124184/81897775 (/.f64 1 (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (.f64 (exp.f64 (pow.f64 x 2)) x))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))) (.f64 131416387900000/10731592879921 (/.f64 1 (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))))
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(-.f64 (+.f64 1 (+.f64 (.f64 71124184/81897775 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) x)))) (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 31853699/125000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2)))))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
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(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))

Outputs
(-.f64 (+.f64 1 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (+.f64 1 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (-.f64 1 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 256899347/200000000)))
(+.f64 1 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000))
(-.f64 (+.f64 1 (+.f64 (.f64 116284197065161/200000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 (.f64 31853699/125000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1029667143/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))
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(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -131416387900000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(+.f64 1 (*.f64 3275911/10000000 x))
(fma.f64 3275911/10000000 x 1)

localize116.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1)))
✓	0.8b	(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
✓	1.0b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
✓	11.7b	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))

Compiler

Compiled 288 to 230 computations (20.1% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))
2.0ms	x	@	-inf	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))
1.0ms	x	@	inf	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
1.0ms	x	@	0	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))

rewrite146.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`prod-diff_binary64`
272×	`add-sqr-sqrt_binary64`
259×	`add-log-exp_binary64`
258×	`pow1_binary64`
258×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	545	149
2	7493	149

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000)
(+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (+.f64 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simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
477×	`fma-neg_binary64`
424×	`associate-/r*_binary64`
296×	`associate-+l+_binary64`
296×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	1477
1	522	1446
2	1647	1425
3	6180	1421

Stop Event

1×	node limit

Counts

156 → 169

Calls

Call 1

Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (.f64 31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(-.f64 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))

Outputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(fma.f64 564193179035109/500000 x (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (.f64 x x) (+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (exp.f64 (.f64 2 (.f64 x x))))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))
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(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (exp.f64 (.f64 2 (.f64 x x))))) (.f64 x x)) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (exp.f64 (.f64 2 (.f64 x x))))) (pow.f64 x 3)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (+.f64 x x)))) (.f64 x x)) (fma.f64 (/.f64 -1/6 (pow.f64 x 3)) (+.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) (+.f64 x x))))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (fma.f64 1/24 (/.f64 (-.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 1638171132000000000000000000000/115167085740371102724966241 (exp.f64 (.f64 x x)))) (+.f64 (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (.f64 x x)) 4)) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x))))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/24 (/.f64 (-.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (-.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) x)) (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 -172221413519643684480000000000/115167085740371102724966241 (exp.f64 (.f64 2 (.f64 x x)))) (/.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))) (pow.f64 x 4)) (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (exp.f64 (.f64 2 (.f64 x x))))) (.f64 x x))) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (exp.f64 (.f64 2 (.f64 x x))))) (pow.f64 x 3)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 -172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))) (pow.f64 x 4)) (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (+.f64 x x)))) (.f64 x x))) (fma.f64 (/.f64 -1/6 (pow.f64 x 3)) (+.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 x) (+.f64 x x))))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))
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(-.f64 (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
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(fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
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1029667143/1000000000
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(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
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1421413741/1000000000
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1421413741/1000000000
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(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 -1453152027/327591100 x) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))

eval844.0ms (4.2%)

Compiler: Compiled 31850 to 24906 computations (21.8% saved)

prune151.0ms (0.7%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	679	24	703
Fresh	13	6	19
Picked	0	1	1
Done	3	3	6
Total	695	34	729

Error

0.2b

Counts

729 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	15.3b	(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
	33.0b	(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
✓	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	44.9b	(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
	30.4b	1
	30.3b	(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
	15.0b	(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))
	31.2b	(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
▶	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	33.6b	(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
	31.7b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
	31.0b	(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
▶	31.2b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
	31.4b	(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
	31.6b	(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
▶	32.8b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
	15.3b	(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
▶	15.3b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
	31.4b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
	29.6b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	30.7b	(fma.f64 x 564193179035109/500000000000000 1/1000000000)
	15.0b	(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
	29.8b	(pow.f64 1/1000000000000000000000000000 1/3)
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	32.1b	(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
	30.3b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	29.9b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
✓	15.0b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
▶	61.7b	(*.f64 564193179035109/500000000000000 x)
✓	30.7b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	31.7b	(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
	28.5b	1/1000000000

Compiler

Compiled 1369 to 1115 computations (18.6% saved)

localize163.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
	0.5b	(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
✓	1.6b	(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
✓	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 459 to 348 computations (24.2% saved)

series8.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
0.0ms	x	@	-inf	(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

351×	`add-sqr-sqrt_binary64`
333×	`pow1_binary64`
332×	`*-un-lft-identity_binary64`
332×	`add-log-exp_binary64`
331×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	87
1	752	71

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(-.f64 1421413741/1000000000 (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) 2) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 1421413741/1000000000) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (-.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1421413741/1000000000 (neg.f64 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1421413741/1000000000 (*.f64 -1453152027/1000000000 (/.f64 1 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 2) (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2871848519189792942908228021/1000000000000000000000000000 (/.f64 3068549660061560529467443683/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))) (+.f64 2020417023103615081/1000000000000000000 (+.f64 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (*.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2020417023103615081/1000000000000000000 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2871848519189792942908228021/1000000000000000000000000000 (/.f64 3068549660061560529467443683/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))) (neg.f64 (+.f64 2020417023103615081/1000000000000000000 (+.f64 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (*.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2020417023103615081/1000000000000000000 (/.f64 2111650813574208729/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (neg.f64 (+.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 x 1)))) 1))))))

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg_binary64`
677×	`div-sub_binary64`
433×	`distribute-rgt-in_binary64`
423×	`distribute-lft-in_binary64`
397×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	1088
1	199	1064
2	378	1040
3	1173	1040
4	6295	1016

Stop Event

1×	node limit

Counts

61 → 47

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Outputs
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(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
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(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 4))) (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (-.f64 (+.f64 31853699/125000000 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
(-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 564193179035109/500000000000000 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))
	0.1b	(.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)))
	0.4b	(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
✓	18.5b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)

Compiler

Compiled 50 to 33 computations (34% saved)

series6.0ms (0%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
2.0ms	x	@	inf	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
1.0ms	x	@	0	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
0.0ms	x	@	0	(+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))
0.0ms	x	@	-inf	(+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
503×	`prod-diff_binary64`
327×	`pow2_binary64`
313×	`fma-def_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	279	19
2	3477	19

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs

(pow.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)

(+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 1/6) (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2) -1/1000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 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simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-*l/_binary64`
431×	`associate-/l/_binary64`
414×	`div-sub_binary64`
395×	`associate-*r/_binary64`
319×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	439
1	295	405
2	816	383
3	2922	377

Stop Event

1×	node limit

Counts

78 → 89

Calls

Call 1

Inputs
(cbrt.f64 1/1000000000000000000000000000)
(+.f64 (*.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000))
(+.f64 (.f64 478908143711674106245886105090849317261667196323/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000)))
(+.f64 (.f64 478908143711674106245886105090849317261667196323/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (*.f64 -648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 5))) (cbrt.f64 1/1000000000000000000000000000))))
(*.f64 (cbrt.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) x)
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76395346264731119377981807445403/20000000000000000000000000000000000000000
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)

Outputs
(cbrt.f64 1/1000000000000000000000000000)
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(-.f64 (.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)))) (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (*.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) (neg.f64 x)))
(+.f64 (.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) 1/3)) (+.f64 (.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7)) 1/3) (/.f64 1 x))) (.f64 -1 (*.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) x))))
(fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (fma.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7)))) (neg.f64 (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))))
(-.f64 (fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7))) x))) (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(-.f64 (fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7))) (/.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 x))) (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))
(+.f64 (.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) 1/3)) (+.f64 (.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7)) 1/3) (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 (-.f64 1/1000000000000000000000000000 (+.f64 (.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)))) (+.f64 (.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) (pow.f64 1 1/3))) (.f64 16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)))))) (.f64 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) x)))))
(fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (fma.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7)))) (fma.f64 1/3 (/.f64 (-.f64 1/1000000000000000000000000000 (fma.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) (fma.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) (/.f64 16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (neg.f64 (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000))))))
(fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (fma.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7))) x) (-.f64 (.f64 1/3 (/.f64 (-.f64 1/1000000000000000000000000000 (+.f64 (/.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)))) (*.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)))))
(fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (-.f64 (fma.f64 (/.f64 1/3 (.f64 x x)) (/.f64 (-.f64 1/1000000000000000000000000000 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)) (.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7))) x))) (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000))))
(fma.f64 1/3 (/.f64 (-.f64 1/1000000000000000000000000000 (/.f64 -16513416961625786080125792222759516952505686698049592564824677482352999339080927519211233165401/1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2)))) (-.f64 (fma.f64 25465115421577039792660602481801/20000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000) 7))) (/.f64 648472103434240777086557276679236825008264661289745640536203601/400000000000000000000000000000000000000000000000000000000000000000000000000000000 x))) (.f64 x (cbrt.f64 -1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000))))
76395346264731119377981807445403/20000000000000000000000000000000000000000
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
(*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)
(*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x)
(*.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
	0.2b	(*.f64 564193179035109/500000000000000 x)
✓	0.2b	(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
✓	18.8b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
1.0ms	x	@	inf	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
1.0ms	x	@	-inf	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`log-prod_binary64`
527×	`fma-def_binary64`
319×	`expm1-udef_binary64`
319×	`log1p-udef_binary64`
286×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	418	38
2	5231	36

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))

(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)

(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (/.f64 1 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simplify204.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1208×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
532×	`fabs-mul_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	240
1	30	222
2	61	222
3	132	222
4	366	222
5	1426	222
6	2626	222
7	2792	222
8	3042	222
9	3329	222
10	3708	222
11	4215	222
12	4811	222
13	5519	222
14	5986	222
15	6309	222
16	6579	222
17	6747	222
18	6839	222
19	7516	222

Stop Event

1×	node limit

Counts

117 → 88

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 318313943269742557644254641881/250000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))
	0.2b	(fma.f64 3275911/10000000 x 1)
✓	0.3b	(/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	14.0b	(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 149 to 111 computations (25.5% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	-inf	(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
1.0ms	x	@	0	(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
0.0ms	x	@	inf	(/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))
0.0ms	x	@	0	(/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`prod-diff_binary64`
412×	`fma-def_binary64`
335×	`log1p-udef_binary64`
334×	`expm1-udef_binary64`
235×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	386	65
2	5260	64

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

(/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

(/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))))) (/.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1) 2)) (cbrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)) (sqrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) (expm1.f64 (-.f64 (log.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2)) (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) (expm1.f64 (-.f64 (log.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1) (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x)))))) (-.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 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simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
611×	`distribute-neg-frac_binary64`
507×	`associate-/r*_binary64`
389×	`unswap-sqr_binary64`
313×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	599
1	261	589
2	681	585
3	1946	531
4	6420	531

Stop Event

1×	node limit

Counts

143 → 149

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (+.f64 (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
-1029667143/1000000000
(-.f64 (*.f64 3373097920092273/10000000000000000 x) 1029667143/1000000000)
(-.f64 (+.f64 (.f64 3373097920092273/10000000000000000 x) (.f64 -11049968580507398135703/100000000000000000000000 (pow.f64 x 2))) 1029667143/1000000000)
(-.f64 (+.f64 (.f64 36198713622538571134128950433/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 3373097920092273/10000000000000000 x) (*.f64 -11049968580507398135703/100000000000000000000000 (pow.f64 x 2)))) 1029667143/1000000000)
(/.f64 -1029667143/327591100 x)
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 1029667143/327591100 (/.f64 1 x)))
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1029667143/327591100 (/.f64 1 x))))
(/.f64 -1029667143/327591100 x)
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 1029667143/327591100 (/.f64 1 x)))
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1029667143/327591100 (/.f64 1 x))))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(fma.f64 9090120849982139/10000000000000000 x 1/1000000000)
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (.f64 x x) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (fma.f64 9090120849982139/10000000000000000 x 1/1000000000))
(fma.f64 9090120849982139/10000000000000000 x (fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) 1/1000000000))
(fma.f64 x (fma.f64 x 20062385210555165538559/50000000000000000000000 9090120849982139/10000000000000000) 1/1000000000)
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
(fma.f64 20062385210555165538559/50000000000000000000000 (.f64 x x) (+.f64 1/1000000000 (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) (.f64 9090120849982139/10000000000000000 x))))
(+.f64 (fma.f64 20062385210555165538559/50000000000000000000000 (.f64 x x) (fma.f64 9090120849982139/10000000000000000 x 1/1000000000)) (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 20062385210555165538559/50000000000000000000000) (fma.f64 9090120849982139/10000000000000000 x (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) 1/1000000000)))
(fma.f64 x (fma.f64 x 20062385210555165538559/50000000000000000000000 9090120849982139/10000000000000000) (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) 1/1000000000))
1
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(-.f64 1 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
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1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
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(-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (/.f64 53932632800000/10731592879921 x) -63707398/81897775)) (+.f64 (/.f64 (/.f64 1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)) -1))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(fma.f64 116284197065161/200000000000000 x -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 -745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (.f64 (.f64 x x) -30096802595103829969253/100000000000000000000000)) -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 (fma.f64 (*.f64 x x) -30096802595103829969253/100000000000000000000000 -745170407/1000000000))
(fma.f64 x (fma.f64 x -30096802595103829969253/100000000000000000000000 116284197065161/200000000000000) -745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (+.f64 (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (fma.f64 -30096802595103829969253/100000000000000000000000 (.f64 x x) (.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000))) -745170407/1000000000)
(+.f64 (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 (.f64 (.f64 x x) -30096802595103829969253/100000000000000000000000)) (fma.f64 x 116284197065161/200000000000000 -745170407/1000000000))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 x (*.f64 x -30096802595103829969253/100000000000000000000000) (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 -745170407/1000000000)))
(fma.f64 x (fma.f64 x -30096802595103829969253/100000000000000000000000 116284197065161/200000000000000) (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 -745170407/1000000000))
(fma.f64 (*.f64 x x) (fma.f64 x 33698290077166938468133628729/250000000000000000000000000000 -30096802595103829969253/100000000000000000000000) (fma.f64 x 116284197065161/200000000000000 -745170407/1000000000))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
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(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
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(/.f64 71124184/81897775 x)
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-1029667143/1000000000
(-.f64 (*.f64 3373097920092273/10000000000000000 x) 1029667143/1000000000)
(fma.f64 3373097920092273/10000000000000000 x -1029667143/1000000000)
(fma.f64 x 3373097920092273/10000000000000000 -1029667143/1000000000)
(-.f64 (+.f64 (.f64 3373097920092273/10000000000000000 x) (.f64 -11049968580507398135703/100000000000000000000000 (pow.f64 x 2))) 1029667143/1000000000)
(+.f64 (fma.f64 3373097920092273/10000000000000000 x (.f64 (.f64 x x) -11049968580507398135703/100000000000000000000000)) -1029667143/1000000000)
(fma.f64 x 3373097920092273/10000000000000000 (fma.f64 (*.f64 x x) -11049968580507398135703/100000000000000000000000 -1029667143/1000000000))
(fma.f64 x 3373097920092273/10000000000000000 (fma.f64 x (*.f64 x -11049968580507398135703/100000000000000000000000) -1029667143/1000000000))
(fma.f64 x (fma.f64 x -11049968580507398135703/100000000000000000000000 3373097920092273/10000000000000000) -1029667143/1000000000)
(-.f64 (+.f64 (.f64 36198713622538571134128950433/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 3373097920092273/10000000000000000 x) (*.f64 -11049968580507398135703/100000000000000000000000 (pow.f64 x 2)))) 1029667143/1000000000)
(+.f64 (fma.f64 36198713622538571134128950433/1000000000000000000000000000000 (pow.f64 x 3) (fma.f64 3373097920092273/10000000000000000 x (.f64 (.f64 x x) -11049968580507398135703/100000000000000000000000))) -1029667143/1000000000)
(fma.f64 (pow.f64 x 3) 36198713622538571134128950433/1000000000000000000000000000000 (fma.f64 x 3373097920092273/10000000000000000 (fma.f64 (*.f64 x x) -11049968580507398135703/100000000000000000000000 -1029667143/1000000000)))
(fma.f64 (pow.f64 x 3) 36198713622538571134128950433/1000000000000000000000000000000 (fma.f64 x 3373097920092273/10000000000000000 (fma.f64 x (*.f64 x -11049968580507398135703/100000000000000000000000) -1029667143/1000000000)))
(fma.f64 x (fma.f64 x -11049968580507398135703/100000000000000000000000 3373097920092273/10000000000000000) (fma.f64 (pow.f64 x 3) 36198713622538571134128950433/1000000000000000000000000000000 -1029667143/1000000000))
(fma.f64 (*.f64 x x) (fma.f64 x 36198713622538571134128950433/1000000000000000000000000000000 -11049968580507398135703/100000000000000000000000) (fma.f64 x 3373097920092273/10000000000000000 -1029667143/1000000000))
(/.f64 -1029667143/327591100 x)
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 1029667143/327591100 (/.f64 1 x)))
(-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 1029667143/327591100 x))
(+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 -1029667143/327591100 x))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 -1029667143/327591100 x))
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))))
(-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 -1029667143/327591100 x)) (/.f64 -1029667143000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1029667143/327591100 (/.f64 1 x))))
(+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 -1029667143000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1029667143/327591100 x)))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 -1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))))
(/.f64 -1029667143/327591100 x)
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 1029667143/327591100 (/.f64 1 x)))
(-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 1029667143/327591100 x))
(+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 -1029667143/327591100 x))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 -1029667143/327591100 x))
(-.f64 (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))))
(-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 -1029667143/327591100 x)) (/.f64 -1029667143000000000000/35155743162854883031 (pow.f64 x 3)))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1029667143/327591100 (/.f64 1 x))))
(+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (+.f64 (+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 -1029667143000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1029667143/327591100 x)))
(+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (-.f64 (/.f64 -1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)))))

eval532.0ms (2.6%)

Compiler: Compiled 22058 to 17154 computations (22.2% saved)

prune122.0ms (0.6%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	626	8	634
Fresh	2	23	25
Picked	1	0	1
Done	2	6	8
Total	631	37	668

Error

0.2b

Counts

668 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	15.3b	(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
	15.3b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
	33.0b	(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
✓	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	44.9b	(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
	30.4b	1
	30.3b	(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
	15.0b	(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))
	31.2b	(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
✓	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
	33.6b	(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
	60.8b	(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
	31.4b	(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
	15.3b	(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
	31.4b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
	29.6b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	30.7b	(fma.f64 x 564193179035109/500000000000000 1/1000000000)
	29.8b	(pow.f64 1/1000000000000000000000000000 1/3)
	31.1b	(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
	15.0b	(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
	32.0b	(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
	30.8b	(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
	31.7b	(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	32.1b	(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
	30.3b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	29.9b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
✓	15.0b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
✓	61.7b	(*.f64 564193179035109/500000000000000 x)
✓	30.7b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	31.2b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
	28.5b	1/1000000000
	31.9b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
	31.7b	(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
	31.8b	(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)

Compiler

Compiled 811 to 659 computations (18.7% saved)

regimes359.0ms (1.8%)

Counts

68 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
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(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
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(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
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(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
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(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
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(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))

Outputs

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))

Calls

7 calls:

111.0ms	x
80.0ms	(fabs.f64 x)
65.0ms	(fabs.f64 x)
13.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
11.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 2253 to 1723 computations (23.5% saved)

bsearch112.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	1.9410979916687525e-17	0.00033959049661280835
55.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes323.0ms (1.6%)

Counts

63 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (.f64 1061405429/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))

Calls

7 calls:

91.0ms	x
67.0ms	(fabs.f64 x)
65.0ms	(fabs.f64 x)
16.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
11.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 1881 to 1441 computations (23.4% saved)

bsearch215.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	1.9410979916687525e-17	0.00033959049661280835
105.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes457.0ms (2.3%)

Counts

61 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 (+.f64 8890523/31250000 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))

Calls

7 calls:

123.0ms	x
105.0ms	(fabs.f64 x)
68.0ms	(fabs.f64 x)
45.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
18.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 1788 to 1371 computations (23.3% saved)

bsearch135.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	1.9410979916687525e-17	0.00033959049661280835
80.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes362.0ms (1.8%)

Counts

57 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))

Calls

7 calls:

130.0ms	x
66.0ms	(fabs.f64 x)
62.0ms	(fabs.f64 x)
10.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
10.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 1537 to 1185 computations (22.9% saved)

bsearch115.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	1.9410979916687525e-17	0.00033959049661280835
55.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes594.0ms (2.9%)

Counts

56 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))

Calls

7 calls:

246.0ms	x
173.0ms	(fabs.f64 x)
59.0ms	(fabs.f64 x)
14.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
11.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 1476 to 1141 computations (22.7% saved)

bsearch150.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	1.9410979916687525e-17	0.00033959049661280835
52.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes463.0ms (2.3%)

Counts

52 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)

Calls

7 calls:

148.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
114.0ms	(fabs.f64 x)
77.0ms	x
61.0ms	(fabs.f64 x)
11.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
0.2b	2	`(fabs.f64 x)`
0.2b	2	`(fabs.f64 x)`

Compiler

Compiled 1306 to 1007 computations (22.9% saved)

bsearch113.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	1.9410979916687525e-17	0.00033959049661280835
59.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes243.0ms (1.2%)

Counts

51 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(fma.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)

Calls

3 calls:

81.0ms	x
68.0ms	(fabs.f64 x)
59.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.6b	3	`x`
0.7b	2	`(fabs.f64 x)`
0.7b	2	`(fabs.f64 x)`

Compiler

Compiled 986 to 756 computations (23.3% saved)

bsearch116.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	1.9410979916687525e-17	0.00033959049661280835
54.0ms	-464108242255813.94	-0.17554372930257645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes351.0ms (1.7%)

Counts

44 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)

Outputs

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3)

Calls

3 calls:

204.0ms	x
78.0ms	(fabs.f64 x)
46.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(fabs.f64 x)`
0.8b	2	`(fabs.f64 x)`

Compiler

Compiled 673 to 510 computations (24.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17554372930257645	2.414315746490169

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes320.0ms (1.6%)

Counts

43 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))

Outputs

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))

Calls

3 calls:

184.0ms	x
49.0ms	(fabs.f64 x)
46.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(fabs.f64 x)`
0.8b	2	`(fabs.f64 x)`

Compiler

Compiled 643 to 487 computations (24.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17554372930257645	2.414315746490169

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes206.0ms (1%)

Counts

42 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) 1/1000000000000000000000000000) 2)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000)) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000))) 2))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (.f64 x -98171347176541251569707947359/1000000000000000000000000000000)))))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Outputs

(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))

(*.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1)

Calls

3 calls:

68.0ms	(fabs.f64 x)
60.0ms	x
56.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(fabs.f64 x)`
0.8b	2	`(fabs.f64 x)`

Compiler

Compiled 614 to 465 computations (24.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17554372930257645	2.414315746490169

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes189.0ms (0.9%)

Counts

33 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (sqrt.f64 (.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 1368824381/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 (fma.f64 x 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 76395346264731119377981807445403/20000000000000000000000000000000000000000) 2))) 1/1000000000000000000000000000) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 -745170407/1000000000 1)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Outputs
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))

Calls

3 calls:

85.0ms	x
56.0ms	(fabs.f64 x)
32.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.8b	2	`(fabs.f64 x)`
0.8b	2	`(fabs.f64 x)`

Compiler

Compiled 374 to 285 computations (23.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17554372930257645	2.414315746490169

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes88.0ms (0.4%)

Counts

26 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))

Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(exp.f64 (/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x)))

Calls

1 calls:

71.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 236 to 184 computations (22% saved)

bsearch197.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
97.0ms	0.00033959049661280835	2.414315746490169
99.0ms	-464108242255813.94	-0.17554372930257645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes48.0ms (0.2%)

Counts

25 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1/1000000000 (fma.f64 (pow.f64 x 3) -375451252922475856043509345477/1000000000000000000000000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x -2364858879768868679/20000000000000000000000)))))
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (sqrt.f64 (.f64 (.f64 x x) 2064177091020253489139556589122033927681331927014224858445688635088589805296717799721854822482961/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) 1/1000000000000000000000000000) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) (fma.f64 x 1692579537105327/500000000000000000000000000000000 1/1000000000000000000000000000)) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (.f64 564193179035109/500000000000000000000000 x)))))
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))

Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 227 to 177 computations (22% saved)

bsearch107.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	0.00033959049661280835	2.414315746490169
51.0ms	-464108242255813.94	-0.17554372930257645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes36.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(fma.f64 x 564193179035109/500000000000000 (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))

Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
1

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 124 to 98 computations (21% saved)

bsearch103.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	0.00033959049661280835	2.414315746490169
51.0ms	-464108242255813.94	-0.17554372930257645

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes35.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))

Outputs

(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 107 to 85 computations (20.6% saved)

bsearch114.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	0.00033959049661280835	2.414315746490169
57.0ms	-2.923564110028498e-7	-1.0862675686886405e-10

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes26.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(pow.f64 (+.f64 1/1000000000000000000000000000 (.f64 x (+.f64 1692579537105327/500000000000000000000000000000000 (.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 x)))) 1/3)
(pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 x))) 1/1000000000000000000000000000) 1/3)

Outputs
1
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
1

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch106.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.00033959049661280835	2.414315746490169
51.0ms	-2.923564110028498e-7	-1.0862675686886405e-10

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes22.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)
(pow.f64 (+.f64 (.f64 (.f64 x x) 76395346264731119377981807445403/20000000000000000000000000000000000000000) 1/1000000000000000000000000000) 1/3)

Outputs
1
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
1

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 42 to 34 computations (19% saved)

bsearch142.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.00033959049661280835	2.414315746490169
91.0ms	-2.923564110028498e-7	-1.0862675686886405e-10

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes17.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)

Outputs
1
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
1

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch105.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	0.00033959049661280835	2.414315746490169
53.0ms	-2.923564110028498e-7	-1.0862675686886405e-10

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)

Outputs
1
1/1000000000
1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.0b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch103.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.9410979916687525e-17	0.00033959049661280835
52.0ms	-0.00043140720506958433	-2.923564110028498e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
30.4b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

169×	`distribute-rgt-neg-in_binary64`
133×	`cancel-sign-sub-inv_binary64`
120×	`distribute-lft-neg-in_binary64`
99×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1614
1	295	1614
2	373	1614
3	433	1614
4	513	1614
5	579	1614
6	683	1614
7	904	1614
8	1154	1614
9	1328	1614
10	1407	1614
11	1436	1614
12	1441	1614

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (+.f64 (.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x)))) 1))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) (+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (/.f64 -63707398/81897775 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x)))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -1989514575868239/4611686018427387904) 1 (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) 1/1000000000 1))
1

Outputs
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 -1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)))) (.f64 1453152027/1000000000 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 -1421413741/1000000000 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) -1061405429/1000000000))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 -1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 -1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 -1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))) 3))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (-.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 -1453152027/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 1421413741/1000000000 (.f64 1453152027/1000000000 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))))))) (exp.f64 (neg.f64 (.f64 x x))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
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(if (<=.f64 x -1989514575868239/4611686018427387904) (+.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 (-.f64 -1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) -1453152027/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))
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(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (*.f64 x 3275911/10000000))))))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) (+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))
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(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (exp.f64 (/.f64 -63707398/81897775 (.f64 x (exp.f64 (pow.f64 x 2)))))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -7425731876093023/16) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x)))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (+.f64 1/1000000000000000000 (.f64 -564193179035109/500000000000000000000000 x)))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 x 564193179035109/500000000000000000000000)))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (+.f64 (.f64 x 564193179035109/500000000000000) (.f64 (pow.f64 x 2) -2364858879768868679/20000000000000000000000))) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -5522456465487681/18889465931478580854784) 1 (if (<=.f64 x 3132169490440203/9223372036854775808) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -1989514575868239/4611686018427387904) 1 (if (<=.f64 x 1574805781914051/81129638414606681695789005144064) 1/1000000000 1))
1

Compiler

Compiled 1101 to 905 computations (17.8% saved)

soundness290.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

578×	`times-frac_binary64`
578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69
0	27	93
1	91	69
2	344	69
3	1058	69
4	4342	69

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 3966 to 3186 computations (19.7% saved)

end647.0ms (3.2%)

Compiler: Compiled 1082 to 842 computations (22.2% saved)