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)

sample2.4s (13.7%)

Results

2.4s

8256×

body

256

valid

preprocess54.0ms (0.3%)

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 (0.3%)

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

12.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.8b	(+.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)))
▶	12.8b	(-.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 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

▶

12.8b

(+.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)))

▶

12.8b

(-.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 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)

localize110.0ms (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)))
✓	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	12.7b	(+.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)

series55.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	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)))
11.0ms	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)))
9.0ms	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)))
8.0ms	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))
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))

rewrite96.0ms (0.5%)

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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simplify107.0ms (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))

localize193.0ms (1.1%)

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))))
✓	0.7b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	12.7b	(-.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)

series68.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	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	@	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))))))
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))))
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))))

rewrite111.0ms (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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simplify90.0ms (0.5%)

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))))

eval668.0ms (3.8%)

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

prune169.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	307	13	320
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	308	14	322

Error

12.7b

Counts

322 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.7b	(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)
▶	46.7b	(+.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))))
	13.1b	(-.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 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))))))
	13.2b	(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)
	12.8b	(+.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)))
▶	14.4b	(-.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)))))))
	13.2b	(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)))))
▶	12.7b	(-.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))))
	13.2b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (pow.f64 (cbrt.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))) 3)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	13.2b	(+.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)))
	13.2b	(/.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))
	13.2b	(/.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))))))
	13.2b	(.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)
✓	12.8b	(-.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 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 1599 to 1318 computations (17.6% saved)

localize133.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.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)))))
✓	0.5b	(+.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)))
✓	0.8b	(+.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))))
✓	12.7b	(-.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))))

Compiler

Compiled 312 to 230 computations (26.3% saved)

series26.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(-.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))))
5.0ms	x	@	0	(-.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))))
5.0ms	x	@	-inf	(-.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))))
2.0ms	x	@	0	(+.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))))
2.0ms	x	@	inf	(+.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))))

rewrite172.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`add-sqr-sqrt_binary64`
331×	`add-log-exp_binary64`
330×	`log1p-expm1-u_binary64`
330×	`expm1-log1p-u_binary64`
327×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	198
1	710	152

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(-.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 (/.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 (/.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 (/.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)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 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(fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))) 2) (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 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x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))) 2) (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))) 2))) (neg.f64 (+.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 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1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 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3275911/10000000 1))))) (*.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1061405429/1000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (/.f64 (sqrt.f64 1061405429/1000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))))))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
633×	`associate--l+_binary64`
508×	`associate-+r+_binary64`
491×	`associate--r+_binary64`
445×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	3341
1	685	3305
2	1798	2836
3	7367	2836

Stop Event

1×	node limit

Counts

199 → 173

Calls

Call 1

Inputs
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(-.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 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)))))))
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(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
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(-.f64 (+.f64 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))) (+.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)))))))
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(-.f64 (+.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)))))
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(-.f64 (+.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)))))
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(-.f64 (+.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)))))))
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(-.f64 (+.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)))))))

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

localize110.0ms (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 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)))
✓	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	12.7b	(+.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)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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))
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))

rewrite148.0ms (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
((#(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)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (/.f64 1 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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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 (/.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)) (pow.f64 (cbrt.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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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)) 2) (cbrt.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.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)) (sqrt.f64 (fma.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (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)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.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))) (neg.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.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)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.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))))))

simplify162.0ms (0.9%)

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))))))
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(-.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))))

localize198.0ms (1.1%)

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)))
	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	12.7b	(+.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)

series16.0ms (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)))
5.0ms	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))
0.0ms	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))

rewrite121.0ms (0.7%)

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 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(pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))))) (pow.f64 (cbrt.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))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 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simplify77.0ms (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
(-.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))))
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(/.f64 71124184/81897775 x)
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Outputs
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(-.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)))))

localize185.0ms (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)
	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.4b	(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)
✓	12.7b	(-.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)

series15.0ms (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)
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)
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)
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)

rewrite134.0ms (0.8%)

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

((#(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 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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simplify94.0ms (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`
334×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	2130
1	872	1916
2	3588	1741

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)
(+.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 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (*.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 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.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 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000))))
1
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1
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1/1000000000000000000000000000
(+.f64 (*.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) 1/1000000000000000000000000000)
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1
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1
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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)))
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1
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(fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x) 1)
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(+.f64 (fma.f64 -254829592/81897775 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 53932632800000/10731592879921) (pow.f64 x 3)) 1) (-.f64 (fma.f64 (/.f64 (exp.f64 (.f64 x x)) x) -191122194/81897775 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) 50965918400000/10731592879921 (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 x 3) -53932632800000/10731592879921)) 30000000/3275911) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 25482959200000/10731592879921 (/.f64 (.f64 -63707398/81897775 (.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) 4058632559930404/6707245549950625) 107865265600000/10731592879921))) x)))))))) (fma.f64 1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (.f64 (/.f64 (exp.f64 (.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 (exp.f64 (*.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 (exp.f64 (.f64 x x)) (.f64 x x)) 76448877600000/10731592879921 (.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)))) (fma.f64 4058632559930404/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) 1)) (/.f64 (exp.f64 (.f64 x x)) (/.f64 x 191122194/81897775))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (*.f64 x x)) 85349020800000/10731592879921))
(+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) -191122194/81897775) (+.f64 (+.f64 1 (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) 76448877600000/10731592879921 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) x) (/.f64 8117265119860808/6707245549950625 x)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) x) (/.f64 4058632559930404/6707245549950625 x) (/.f64 (.f64 (exp.f64 (.f64 x x)) 85349020800000/10731592879921) (.f64 x x)))))
(-.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 (exp.f64 (.f64 x x)) (/.f64 x 191122194/81897775))) (-.f64 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) x) (/.f64 4058632559930404/6707245549950625 x)) (/.f64 (+.f64 (fma.f64 (.f64 (exp.f64 (.f64 x x)) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 (exp.f64 (.f64 x x)) 107865265600000/10731592879921))) 63707398/81897775 (.f64 (exp.f64 (.f64 x x)) 539326328000000000000/35155743162854883031)) (+.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 53932632800000/10731592879921) 254829592/81897775 (.f64 (exp.f64 (.f64 x x)) 1078652656000000000000/35155743162854883031)) (.f64 (exp.f64 (.f64 x x)) 5117731431000000000000/35155743162854883031))) (pow.f64 x 3))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) 76448877600000/10731592879921))) (/.f64 (.f64 (exp.f64 (.f64 x x)) -85349020800000/10731592879921) (.f64 x x))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 x x)) x) -191122194/81897775 1) (+.f64 (fma.f64 8117265119860808/6707245549950625 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) (.f64 x x)) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) x) (/.f64 4058632559930404/6707245549950625 x)) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (pow.f64 (exp.f64 (.f64 x x)) 2) 53932632800000/10731592879921) 254829592/81897775) (.f64 (exp.f64 (.f64 x x)) 1617978984000000000000/35155743162854883031)) (.f64 (exp.f64 (.f64 x x)) (-.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) 4058632559930404/6707245549950625) 107865265600000/10731592879921)) 63707398/81897775) -5117731431000000000000/35155743162854883031))) (pow.f64 x 3))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (/.f64 76448877600000/10731592879921 x)))) (/.f64 (.f64 (exp.f64 (.f64 x x)) 85349020800000/10731592879921) (.f64 x x))))

localize178.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.4b	(/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
✓	13.5b	(-.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)))))))

Compiler

Compiled 393 to 315 computations (19.8% saved)

series30.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(-.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)))))))
5.0ms	x	@	0	(-.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)))))))
3.0ms	x	@	inf	(-.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)))))))
0.0ms	x	@	0	(/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
0.0ms	x	@	inf	(/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

395×	`add-sqr-sqrt_binary64`
375×	`add-log-exp_binary64`
375×	`pow1_binary64`
375×	`log1p-expm1-u_binary64`
375×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	107
1	869	92

Stop Event

1×	node limit

Counts

3 → 60

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)))))))

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

(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.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 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.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)))) (neg.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))

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

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-neg_binary64`
610×	`times-frac_binary64`
524×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
413×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1072
1	173	1072
2	379	1072
3	1073	1072
4	3939	1072

Stop Event

1×	node limit

Counts

88 → 69

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.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 1 (.f64 3275911/10000000 (fabs.f64 x))) 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 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

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

eval1.5s (8.7%)

Compiler: Compiled 56064 to 44841 computations (20% saved)

prune208.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	856	18	874
Fresh	4	4	8
Picked	1	0	1
Done	4	1	5
Total	865	23	888

Error

0.2b

Counts

888 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
	13.2b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
	13.4b	(+.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)))
▶	13.1b	(-.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 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))))))
	35.1b	(+.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)))
▶	12.8b	(+.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)))
	30.8b	1/1000000000
	32.1b	(pow.f64 (pow.f64 1/1000000000 3) 1/3)
	35.1b	(+.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)))
	32.0b	(pow.f64 1/1000000000000000000000000000 1/3)
▶	27.3b	(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
	13.2b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (pow.f64 (cbrt.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))) 3)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.4b	(-.f64 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
	14.7b	(-.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))))
	27.3b	1
▶	28.6b	(+.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)))
	46.3b	(+.f64 (+.f64 (fma.f64 x (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8007952583978091/10000000000000000) 1) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000)) (.f64 (.f64 x x) (-.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 168887785863982083186659/100000000000000000000000) (fma.f64 1061405429/1000000000 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) (fma.f64 1421413741/1000000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))) (/.f64 (.f64 -192099110539187906249601/100000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 1379339264820437038350329953599/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1))) (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) -3477069720320819/2500000000000000 (fma.f64 -1061405429/1000000000 (fma.f64 -3275911/2500000 (/.f64 (+.f64 82194778639763/50000000000000 (.f64 x 269262779488564649093/500000000000000000000)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 362746843162854883031/250000000000000000000)) (+.f64 (/.f64 (.f64 (fma.f64 3275911/10000000 x 1) 1479205652414273064383345553837/1000000000000000000000000000000) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (fma.f64 3275911/10000000 (/.f64 -793642826674426111317/3125000000000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 -1421413741/1000000000 (fma.f64 3275911/5000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 (*.f64 -362746843162854883031/500000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 -4656424909693051/5000000000000000 (fma.f64 3275911/10000000 x 1)))))) x))))
	34.9b	(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
	45.4b	(+.f64 (+.f64 (fma.f64 x (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8007952583978091/10000000000000000) 1) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000)) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 168887785863982083186659/100000000000000000000000) (fma.f64 1061405429/1000000000 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) (fma.f64 1421413741/1000000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))) (/.f64 (.f64 -192099110539187906249601/100000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))
▶	33.0b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	13.9b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))
	13.2b	(.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)
✓	12.8b	(-.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 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 2099 to 1770 computations (15.7% saved)

localize183.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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))
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.4b	(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
✓	12.7b	(+.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)))

Compiler

Compiled 450 to 356 computations (20.9% saved)

series56.0ms (0.3%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(/.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))
8.0ms	x	@	0	(+.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)))
4.0ms	x	@	inf	(+.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)))
4.0ms	x	@	-inf	(+.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)))
1.0ms	x	@	inf	(/.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))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

371×	`add-sqr-sqrt_binary64`
353×	`pow1_binary64`
352×	`add-log-exp_binary64`
351×	`log1p-expm1-u_binary64`
351×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	133
1	782	129

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

(+.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 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))

(/.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))

Outputs

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

simplify147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

564×	`associate--l+_binary64`
558×	`fma-def_binary64`
385×	`associate-/r*_binary64`
378×	`associate-l_binary64`
345×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2765
1	824	2351
2	2412	2022

Stop Event

1×	node limit

Counts

94 → 83

Calls

Call 1

Inputs
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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 (.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))))))))
(/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.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 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.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 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.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 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.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 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.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))))
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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 (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 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.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)))))))
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localize5.0ms (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
0.0ms	x	@	0	(*.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 564193179035109/500000000000000 x)
0.0ms	x	@	-inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite70.0ms (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

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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)))))

simplify7.0ms (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)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.0b	(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
✓	0.2b	(/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))
✓	0.3b	(fma.f64 3275911/10000000 x 1)

Compiler

Compiled 45 to 28 computations (37.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
409×	`prod-diff_binary64`
300×	`pow2_binary64`
241×	`fma-def_binary64`
231×	`pow-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	240	38
2	3126	37

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(fma.f64 3275911/10000000 x 1)
(/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (exp.f64 x) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 3275911/10000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3275911/10000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3275911/10000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3275911/10000000 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 3275911/10000000 x 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3275911/10000000 x 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 3275911/10000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3275911/10000000 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 3275911/10000000 x 1)) (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (cbrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3275911/10000000 x 1)) (sqrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3275911/10000000 x) 3) 1) (+.f64 (pow.f64 (.f64 3275911/10000000 x) 2) (-.f64 1 (.f64 (.f64 3275911/10000000 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 3275911/10000000 x) 2) 1) (fma.f64 3275911/10000000 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3275911/10000000 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3275911/10000000 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3275911/10000000 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 3275911/10000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (*.f64 3275911/10000000 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -31853699/125000000 (/.f64 1 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) (pow.f64 (cbrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) 2) (cbrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 31853699/125000000 (/.f64 1 (neg.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -31853699/125000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1014658139982601/15625000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 3275911/10000000 x 1) -125000000/31853699) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (fma.f64 3275911/10000000 x 1) -125000000/31853699) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1014658139982601/15625000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))) (/.f64 (/.f64 1014658139982601/15625000000000000 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))) 2)) (-.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))) (sqrt.f64 (+.f64 1 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 -32320614978905637491099/1953125000000000000000000 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 x)))) 3))) (/.f64 1 (fma.f64 (/.f64 -31853699/125000000 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 3275911/10000000 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simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
875×	`fma-def_binary64`
687×	`unswap-sqr_binary64`
490×	`associate-l_binary64`
378×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	585
1	205	557
2	547	548
3	1617	499
4	6042	494

Stop Event

1×	node limit

Counts

178 → 168

Calls

Call 1

Inputs
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))
-31853699/125000000
(-.f64 (*.f64 104349882944789/1250000000000000 x) 31853699/125000000)
(-.f64 (+.f64 (.f64 -341840929387546677779/12500000000000000000000 (pow.f64 x 2)) (.f64 104349882944789/1250000000000000 x)) 31853699/125000000)
(-.f64 (+.f64 (.f64 -341840929387546677779/12500000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 104349882944789/1250000000000000 x) (*.f64 1119840460830887424749681669/125000000000000000000000000000 (pow.f64 x 3)))) 31853699/125000000)
(/.f64 -63707398/81897775 x)
(-.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 63707398/81897775 (/.f64 1 x)) (*.f64 254829592000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2548295920000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 63707398/81897775 (/.f64 1 x)) (.f64 254829592000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -63707398/81897775 x)
(-.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 x)))
(-.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 63707398/81897775 (/.f64 1 x)) (*.f64 254829592000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2548295920000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (.f64 25482959200000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 63707398/81897775 (/.f64 1 x)) (.f64 254829592000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))))
93146301/125000000
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 93146301/125000000 (+.f64 (.f64 104349882944789/1250000000000000 x) (.f64 2843528970612453322221/12500000000000000000000 (pow.f64 x 2))))
(+.f64 93146301/125000000 (+.f64 (.f64 104349882944789/1250000000000000 x) (+.f64 (.f64 2843528970612453322221/12500000000000000000000 (pow.f64 x 2)) (*.f64 -9315147833648012575250318331/125000000000000000000000000000 (pow.f64 x 3)))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) 1) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) 1) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 254829592000000000000/35155743162854883031 (/.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 (.f64 25482959200000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) 1) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 25482959200000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) 1) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 254829592000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))

Outputs
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))
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1
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(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 3275911/10000000 (fabs.f64 x) 1)
✓	0.3b	(*.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2))
✓	12.7b	(+.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)))
✓	14.3b	(/.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))

Compiler

Compiled 156 to 117 computations (25% saved)

series9.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.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)))
1.0ms	x	@	-inf	(+.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)))
1.0ms	x	@	inf	(/.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))
1.0ms	x	@	0	(/.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))
1.0ms	x	@	-inf	(/.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))

rewrite184.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

406×	`log1p-udef_binary64`
405×	`expm1-udef_binary64`
248×	`add-sqr-sqrt_binary64`
236×	`add-log-exp_binary64`
234×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	523	65
2	6727	65

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

Inputs
(/.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))
(+.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 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2))
(fma.f64 3275911/10000000 (fabs.f64 x) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (/.f64 1 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (.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 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (.f64 (fma.f64 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simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-neg_binary64`
806×	`fma-def_binary64`
653×	`cancel-sign-sub-inv_binary64`
258×	`distribute-rgt-out_binary64`
221×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	1034
1	214	1000
2	442	848
3	1181	784
4	4391	697

Stop Event

1×	node limit

Counts

138 → 135

Calls

Call 1

Inputs
(/.f64 -999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(-.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 (-.f64 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 12609378273575437031483/20000000000000000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (pow.f64 x 2)))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 -8007952583978091/10000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 1 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 (-.f64 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 12609378273575437031483/20000000000000000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (pow.f64 x 2))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))) (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))) (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))) (.f64 999999999/1000000000 (/.f64 1 (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))) (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))) (.f64 999999999/1000000000 (/.f64 1 (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))
(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))) (.f64 999999999/1000000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))) (.f64 999999999/1000000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(+.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 -999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))
(-.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (*.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (.f64 x x) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (*.f64 x x) (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))
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(/.f64 (.f64 x (.f64 x -12609378273575437031483/20000000000000000000000)) (fma.f64 3275911/10000000 x 1))
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(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (*.f64 x x) (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))
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(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (.f64 x x) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(/.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (*.f64 x x)))
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(/.f64 (.f64 x (.f64 x -12609378273575437031483/20000000000000000000000)) (fma.f64 3275911/10000000 x 1))
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(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (.f64 x x) (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (*.f64 x x))))
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(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
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(+.f64 1 (-.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (.f64 (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 x (exp.f64 (.f64 x x))))) (/.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (exp.f64 (*.f64 x x)))))
(+.f64 1 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 (/.f64 (/.f64 x (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 x 1)) x) (fma.f64 8007952583978091/10000000000000000 (/.f64 (/.f64 x (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (.f64 (fma.f64 3275911/10000000 x 1) (exp.f64 (*.f64 x x)))))))
(+.f64 (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (.f64 x (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1))))) (+.f64 1 (/.f64 -999999999/1000000000 (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.f64 (.f64 (/.f64 x (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) (+.f64 8007952583978091/10000000000000000 (.f64 x -12609378273575437031483/20000000000000000000000))) (+.f64 1 (/.f64 -999999999/1000000000 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))) (.f64 999999999/1000000000 (/.f64 1 (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))
(+.f64 1 (-.f64 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (/.f64 (.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x)) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))) (/.f64 999999999/1000000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))))
(+.f64 1 (-.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (/.f64 (.f64 x x) (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (.f64 (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 x (exp.f64 (.f64 x x))))) (/.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (exp.f64 (*.f64 x x)))))
(+.f64 1 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 (/.f64 (/.f64 x (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 x 1)) x) (fma.f64 8007952583978091/10000000000000000 (/.f64 (/.f64 x (exp.f64 (.f64 x x))) (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (.f64 (fma.f64 3275911/10000000 x 1) (exp.f64 (*.f64 x x)))))))
(+.f64 (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (.f64 x (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1))))) (+.f64 1 (/.f64 -999999999/1000000000 (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.f64 (.f64 (/.f64 x (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) (+.f64 8007952583978091/10000000000000000 (.f64 x -12609378273575437031483/20000000000000000000000))) (+.f64 1 (/.f64 -999999999/1000000000 (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)
(+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))
(fma.f64 3275911/10000000 (fabs.f64 x) 1)
(fma.f64 3275911/10000000 x 1)

localize278.0ms (1.6%)

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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	12.7b	(-.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 402 to 312 computations (22.4% saved)

series18.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

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 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))))))

3.0ms

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 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))))))

3.0ms

-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 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))))))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`add-sqr-sqrt_binary64`
316×	`pow1_binary64`
315×	`*-un-lft-identity_binary64`
313×	`add-log-exp_binary64`
312×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	73
1	686	59

Stop Event

1×	node limit

Counts

1 → 30

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 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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 1 (fma.f64 3275911/10000000 x 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))) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.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)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.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)))) (sqrt.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (cbrt.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)))) 2) (cbrt.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 (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 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simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

413×	`distribute-rgt-neg-in_binary64`
303×	`sub-neg_binary64`
302×	`unswap-sqr_binary64`
283×	`associate-l_binary64`
274×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1470
1	440	1271
2	1174	962
3	5683	955

Stop Event

1×	node limit

Counts

42 → 50

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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Outputs
(-.f64 1 (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (.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))) 2))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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eval640.0ms (3.6%)

Compiler: Compiled 29822 to 22371 computations (25% saved)

prune224.0ms (1.3%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	653	13	666
Fresh	10	7	17
Picked	0	1	1
Done	2	3	5
Total	665	24	689

Error

0.1b

Counts

689 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.8b	(+.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)))
	32.5b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
✓	13.1b	(-.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 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))))))
	35.1b	(+.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)))
	59.4b	(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
✓	33.0b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
▶	13.9b	(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
▶	35.1b	(+.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)))
	32.0b	(pow.f64 1/1000000000000000000000000000 1/3)
	27.3b	1
	32.8b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
	28.6b	(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
	46.3b	(+.f64 (+.f64 (fma.f64 x (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8007952583978091/10000000000000000) 1) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000)) (.f64 (.f64 x x) (-.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 168887785863982083186659/100000000000000000000000) (fma.f64 1061405429/1000000000 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) (fma.f64 1421413741/1000000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))) (/.f64 (.f64 -192099110539187906249601/100000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 1379339264820437038350329953599/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1))) (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) -3477069720320819/2500000000000000 (fma.f64 -1061405429/1000000000 (fma.f64 -3275911/2500000 (/.f64 (+.f64 82194778639763/50000000000000 (.f64 x 269262779488564649093/500000000000000000000)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 362746843162854883031/250000000000000000000)) (+.f64 (/.f64 (.f64 (fma.f64 3275911/10000000 x 1) 1479205652414273064383345553837/1000000000000000000000000000000) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (fma.f64 3275911/10000000 (/.f64 -793642826674426111317/3125000000000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 -1421413741/1000000000 (fma.f64 3275911/5000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 (*.f64 -362746843162854883031/500000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 -4656424909693051/5000000000000000 (fma.f64 3275911/10000000 x 1)))))) x))))
	46.4b	(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
	34.4b	(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
	45.8b	(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
▶	13.2b	(.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)
✓	12.8b	(-.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 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))))))
▶	61.6b	(*.f64 564193179035109/500000000000000 x)
	30.8b	1/1000000000
▶	28.6b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
	53.8b	93146301/125000000
	33.3b	(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
	13.9b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))

Compiler

Compiled 1465 to 1225 computations (16.4% saved)

localize213.0ms (1.2%)

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)))
	0.7b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	12.7b	(+.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))))

Compiler

Compiled 291 to 233 computations (19.9% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(+.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))))

2.0ms

inf

(+.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))))

2.0ms

-inf

(+.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))))

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	59
1	540	59
2	7646	59

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs

(+.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

((#(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 (+.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))))))))) (#(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 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))))) (pow.f64 (cbrt.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))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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))))) 2) (cbrt.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 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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 -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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.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))) (/.f64 1 (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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) (cbrt.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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.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)))) (sqrt.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)))))

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-neg_binary64`
489×	`associate-/l/_binary64`
450×	`associate-/l*_binary64`
377×	`cancel-sign-sub-inv_binary64`
338×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	237
1	102	235
2	271	232
3	781	189
4	2862	173
5	6827	173

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

Inputs
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 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 2245236805000000000000/35155743162854883031 (/.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 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (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 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 x (.f64 x -2364858879768868679/20000000000000000000000))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) 1/1000000000))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 564193179035109/500000000000000 x (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) 1/1000000000))
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)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) 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 1 (-.f64 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 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 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))) (-.f64 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (+.f64 1 (/.f64 (/.f64 -2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (+.f64 63707398/81897775 (/.f64 2245236805000000000000/35155743162854883031 (.f64 x x))) (/.f64 53932632800000/10731592879921 x))))
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)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) 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 1 (-.f64 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 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 2245236805000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 x x))) (-.f64 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (+.f64 1 (/.f64 (/.f64 -2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (+.f64 63707398/81897775 (/.f64 2245236805000000000000/35155743162854883031 (.f64 x x))) (/.f64 53932632800000/10731592879921 x))))

localize6.0ms (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)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
✓	0.2b	(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
	0.4b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	12.8b	(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

Compiler

Compiled 47 to 35 computations (25.5% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
1.0ms	x	@	-inf	(.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
1.0ms	x	@	inf	(.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
1.0ms	x	@	0	(.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
1.0ms	x	@	0	(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`prod-diff_binary64`
476×	`log-prod_binary64`
314×	`fma-def_binary64`
274×	`pow2_binary64`
244×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	246	27
2	3146	27

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(-.f64 1 (*.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))

(/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

(*.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) (sqrt.f64 (+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3275911/10000000 x 1) 999999999/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -999999999/1000000000 (neg.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 999999999/1000000000 (pow.f64 (cbrt.f64 (fma.f64 3275911/10000000 x 1)) 2)) (cbrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 999999999/1000000000 (sqrt.f64 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 999999998000000001/1000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) 999999997000000002999999999/1000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 3275911/10000000 x 1) 999999999/1000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -2) 999999998000000001/1000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) 999999997000000002999999999/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) (sqrt.f64 (+.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 x 1)))) -1)))))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	264
1	26	264
2	39	264
3	55	264
4	68	264
5	86	264
6	103	264
7	118	264
8	125	264

Stop Event

1×

saturated

Counts

133 → 116

Calls

Call 1

Inputs
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))

Outputs
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 1 (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.f64 1 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))

localize136.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2))
✓	0.4b	(*.f64 x 3275911/10000000)
✓	12.7b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
✓	14.3b	(/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1))

Compiler

Compiled 157 to 122 computations (22.3% saved)

series19.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1))
2.0ms	x	@	inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
2.0ms	x	@	-inf	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1))

rewrite219.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

425×	`log1p-udef_binary64`
424×	`expm1-udef_binary64`
253×	`add-sqr-sqrt_binary64`
241×	`add-log-exp_binary64`
239×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	531	57
2	6961	57

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(/.f64 (+.f64 -31853699/125000000 (*.f64 (-.f64 (+.f64 (*.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (*.f64 x 3275911/10000000) 1))

(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (*.f64 (-.f64 (+.f64 (*.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (*.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (*.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))

(*.f64 x 3275911/10000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (/.f64 1 (fma.f64 x 3275911/10000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) 2) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (/.f64 1 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (/.f64 1 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))) (sqrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (/.f64 1 (neg.f64 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (fma.f64 x 3275911/10000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (fma.f64 x 3275911/10000000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 3275911/10000000 1)) 2)) (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (cbrt.f64 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 3275911/10000000 1)) 2)) (cbrt.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 3275911/10000000 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (cbrt.f64 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3275911/10000000 1))) (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (sqrt.f64 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) 2) (sqrt.f64 (fma.f64 x 3275911/10000000 1))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000)) (sqrt.f64 (fma.f64 x 3275911/10000000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x x) (*.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (+.f64 1 (*.f64 35155743162854883031/1000000000000000000000 (pow.f64 x 3)))) (+.f64 (*.f64 (*.f64 x x) 10731592879921/100000000000000) (-.f64 1 (*.f64 x 3275911/10000000))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 3275911/10000000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3275911/10000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3275911/10000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3275911/10000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 35155743162854883031/1000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 10731592879921/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3275911/10000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 3275911/10000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 35155743162854883031/1000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3275911/10000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3275911/10000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3275911/10000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3275911/10000000)) 1))))))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
484×	`associate-/r*_binary64`
431×	`fma-neg_binary64`
390×	`times-frac_binary64`
288×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	494
1	184	466
2	446	461
3	1214	430
4	3372	417
5	7987	417

Stop Event

1×	node limit

Counts

117 → 113

Calls

Call 1

Inputs
-999999999/1000000000
(-.f64 (*.f64 564193179035109/500000000000000 x) 999999999/1000000000)
(-.f64 (+.f64 (.f64 -20002364838879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)) 999999999/1000000000)
(-.f64 (+.f64 (.f64 -20002364838879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 65525967001699462514363091569/200000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))) 999999999/1000000000)
(*.f64 -3849121137166253/2000000000000000 x)
(+.f64 2079845749/250000000 (*.f64 -3849121137166253/2000000000000000 x))
(-.f64 (+.f64 2079845749/250000000 (.f64 -3849121137166253/2000000000000000 x)) (.f64 1863876599/65518220 (/.f64 1 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 -3849121137166253/2000000000000000 x))) (*.f64 1863876599/65518220 (/.f64 1 x)))
(*.f64 -3849121137166253/2000000000000000 x)
(+.f64 2079845749/250000000 (*.f64 -3849121137166253/2000000000000000 x))
(-.f64 (+.f64 2079845749/250000000 (.f64 -3849121137166253/2000000000000000 x)) (.f64 1863876599/65518220 (/.f64 1 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 -3849121137166253/2000000000000000 x))) (*.f64 1863876599/65518220 (/.f64 1 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 564193179035109/500000000000000 x) (*.f64 -160151304612344137485636908431/200000000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2)))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2)))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)
(*.f64 3275911/10000000 x)

Outputs
-999999999/1000000000
(-.f64 (*.f64 564193179035109/500000000000000 x) 999999999/1000000000)
(fma.f64 564193179035109/500000000000000 x -999999999/1000000000)
(-.f64 (+.f64 (.f64 -20002364838879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)) 999999999/1000000000)
(+.f64 (.f64 -20002364838879768868679/20000000000000000000000 (.f64 x x)) (fma.f64 564193179035109/500000000000000 x -999999999/1000000000))
(fma.f64 -20002364838879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 564193179035109/500000000000000 x -999999999/1000000000))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -20002364838879768868679/20000000000000000000000) -999999999/1000000000))
(fma.f64 x (fma.f64 x -20002364838879768868679/20000000000000000000000 564193179035109/500000000000000) -999999999/1000000000)
(-.f64 (+.f64 (.f64 -20002364838879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 65525967001699462514363091569/200000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))) 999999999/1000000000)
(+.f64 (fma.f64 -20002364838879768868679/20000000000000000000000 (.f64 x x) (fma.f64 65525967001699462514363091569/200000000000000000000000000000 (pow.f64 x 3) (.f64 564193179035109/500000000000000 x))) -999999999/1000000000)
(fma.f64 x (*.f64 x -20002364838879768868679/20000000000000000000000) (fma.f64 564193179035109/500000000000000 x (fma.f64 65525967001699462514363091569/200000000000000000000000000000 (pow.f64 x 3) -999999999/1000000000)))
(fma.f64 x (*.f64 x (fma.f64 x 65525967001699462514363091569/200000000000000000000000000000 -20002364838879768868679/20000000000000000000000)) (fma.f64 564193179035109/500000000000000 x -999999999/1000000000))
(fma.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x (fma.f64 x 65525967001699462514363091569/200000000000000000000000000000 -20002364838879768868679/20000000000000000000000))) -999999999/1000000000)
(*.f64 -3849121137166253/2000000000000000 x)
(*.f64 x -3849121137166253/2000000000000000)
(+.f64 2079845749/250000000 (*.f64 -3849121137166253/2000000000000000 x))
(+.f64 (*.f64 x -3849121137166253/2000000000000000) 2079845749/250000000)
(fma.f64 x -3849121137166253/2000000000000000 2079845749/250000000)
(-.f64 (+.f64 2079845749/250000000 (.f64 -3849121137166253/2000000000000000 x)) (.f64 1863876599/65518220 (/.f64 1 x)))
(+.f64 2079845749/250000000 (-.f64 (*.f64 x -3849121137166253/2000000000000000) (/.f64 1863876599/65518220 x)))
(+.f64 2079845749/250000000 (fma.f64 x -3849121137166253/2000000000000000 (/.f64 -1863876599/65518220 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 -3849121137166253/2000000000000000 x))) (*.f64 1863876599/65518220 (/.f64 1 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 x -3849121137166253/2000000000000000) (/.f64 931938299500000/10731592879921 (.f64 x x)))) (/.f64 1863876599/65518220 x))
(+.f64 2079845749/250000000 (+.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (fma.f64 x -3849121137166253/2000000000000000 (/.f64 -1863876599/65518220 x))))
(+.f64 (fma.f64 x -3849121137166253/2000000000000000 2079845749/250000000) (+.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (/.f64 -1863876599/65518220 x)))
(*.f64 -3849121137166253/2000000000000000 x)
(*.f64 x -3849121137166253/2000000000000000)
(+.f64 2079845749/250000000 (*.f64 -3849121137166253/2000000000000000 x))
(+.f64 (*.f64 x -3849121137166253/2000000000000000) 2079845749/250000000)
(fma.f64 x -3849121137166253/2000000000000000 2079845749/250000000)
(-.f64 (+.f64 2079845749/250000000 (.f64 -3849121137166253/2000000000000000 x)) (.f64 1863876599/65518220 (/.f64 1 x)))
(+.f64 2079845749/250000000 (-.f64 (*.f64 x -3849121137166253/2000000000000000) (/.f64 1863876599/65518220 x)))
(+.f64 2079845749/250000000 (fma.f64 x -3849121137166253/2000000000000000 (/.f64 -1863876599/65518220 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 -3849121137166253/2000000000000000 x))) (*.f64 1863876599/65518220 (/.f64 1 x)))
(-.f64 (+.f64 2079845749/250000000 (+.f64 (.f64 x -3849121137166253/2000000000000000) (/.f64 931938299500000/10731592879921 (.f64 x x)))) (/.f64 1863876599/65518220 x))
(+.f64 2079845749/250000000 (+.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (fma.f64 x -3849121137166253/2000000000000000 (/.f64 -1863876599/65518220 x))))
(+.f64 (fma.f64 x -3849121137166253/2000000000000000 2079845749/250000000) (+.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (/.f64 -1863876599/65518220 x)))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 (.f64 x x) -2364858879768868679/20000000000000000000000 (.f64 564193179035109/500000000000000 x)))
(fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000000000000 x) (*.f64 -160151304612344137485636908431/200000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (.f64 x x) (fma.f64 564193179035109/500000000000000 x (.f64 (pow.f64 x 3) -160151304612344137485636908431/200000000000000000000000000000))))
(+.f64 1/1000000000 (fma.f64 (.f64 x x) -2364858879768868679/20000000000000000000000 (fma.f64 (pow.f64 x 3) -160151304612344137485636908431/200000000000000000000000000000 (.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 (.f64 x x) (+.f64 (*.f64 x -160151304612344137485636908431/200000000000000000000000000000) -2364858879768868679/20000000000000000000000))))
(fma.f64 x (*.f64 x (fma.f64 x -160151304612344137485636908431/200000000000000000000000000000 -2364858879768868679/20000000000000000000000)) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -160151304612344137485636908431/200000000000000000000000000000 -2364858879768868679/20000000000000000000000)) 1/1000000000))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))
(.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x))))
(/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) -3849121137166253/2000000000000000))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 x (/.f64 -3849121137166253/2000000000000000 (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))
(+.f64 (/.f64 2079845749/250000000 (exp.f64 (.f64 x x))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))))
(fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2)))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (+.f64 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x)))) (/.f64 2079845749/250000000 (exp.f64 (.f64 x x)))) (/.f64 1863876599/65518220 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (/.f64 -1863876599/65518220 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) 1))
(+.f64 1 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (fma.f64 x (/.f64 -3849121137166253/2000000000000000 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (+.f64 2079845749/250000000 (/.f64 -1863876599/65518220 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 2079845749/250000000 (exp.f64 (.f64 x x))) (+.f64 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x)))) (/.f64 931938299500000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))))) (/.f64 1863876599/65518220 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 931938299500000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))))) (-.f64 1 (/.f64 1863876599/65518220 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) 1)) (/.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (pow.f64 (exp.f64 x) x)))
(+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (+.f64 1 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 931938299500000/10731592879921 x) 1863876599/65518220)))))
(+.f64 1 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -1863876599/65518220 (/.f64 931938299500000/10731592879921 x))))))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))
(.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x))))
(/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) -3849121137166253/2000000000000000))
(*.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 x (/.f64 -3849121137166253/2000000000000000 (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))
(+.f64 (/.f64 2079845749/250000000 (exp.f64 (.f64 x x))) (+.f64 1 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))))
(fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2)))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (+.f64 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x)))) (/.f64 2079845749/250000000 (exp.f64 (.f64 x x)))) (/.f64 1863876599/65518220 (.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (/.f64 -1863876599/65518220 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) 1))
(+.f64 1 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (fma.f64 x (/.f64 -3849121137166253/2000000000000000 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (+.f64 2079845749/250000000 (/.f64 -1863876599/65518220 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 2079845749/250000000 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 931938299500000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (pow.f64 x 2))))))) (.f64 1863876599/65518220 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 2079845749/250000000 (exp.f64 (.f64 x x))) (+.f64 (.f64 -3849121137166253/2000000000000000 (/.f64 x (exp.f64 (.f64 x x)))) (/.f64 931938299500000/10731592879921 (.f64 (.f64 x x) (exp.f64 (.f64 x x))))))) (/.f64 1863876599/65518220 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 931938299500000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))))) (-.f64 1 (/.f64 1863876599/65518220 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -1863876599/65518220 x) (pow.f64 (exp.f64 x) x)) (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x))) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) 1)) (/.f64 (/.f64 (/.f64 931938299500000/10731592879921 x) x) (pow.f64 (exp.f64 x) x)))
(+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (+.f64 1 (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 931938299500000/10731592879921 x) 1863876599/65518220)))))
(+.f64 1 (+.f64 (/.f64 2079845749/250000000 (pow.f64 (exp.f64 x) x)) (fma.f64 -3849121137166253/2000000000000000 (/.f64 x (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -1863876599/65518220 (/.f64 931938299500000/10731592879921 x))))))
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)

localize218.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.0b	(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))))
✓	6.1b	(/.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))
✓	12.7b	(+.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)))
✓	15.0b	(/.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))

Compiler

Compiled 217 to 167 computations (23% saved)

series78.0ms (0.4%)

Counts

4 → 42

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	x	@	-inf	(/.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))
3.0ms	x	@	0	(+.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)))
2.0ms	x	@	-inf	(/.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))
2.0ms	x	@	inf	(/.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))
2.0ms	x	@	0	(/.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))

rewrite189.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

303×	`add-sqr-sqrt_binary64`
289×	`add-log-exp_binary64`
287×	`log1p-expm1-u_binary64`
287×	`expm1-log1p-u_binary64`
286×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	136
1	644	130

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(/.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 (.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 (+.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))
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 8007952583978091/10000000000000000 x) (*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (/.f64 1 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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-745170407/1000000000)) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2) (cbrt.f64 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (fma.f64 3275911/10000000 x 1))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000))) 2) (pow.f64 (exp.f64 x) x)) (/.f64 (cbrt.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) 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simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

538×	`times-frac_binary64`
519×	`distribute-rgt-out_binary64`
456×	`associate-/l*_binary64`
313×	`fma-def_binary64`
277×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	1694
1	361	1676
2	756	1481
3	1923	1381
4	5703	1293

Stop Event

1×	node limit

Counts

182 → 195

Calls

Call 1

Inputs
(/.f64 -999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(-.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 7390621706424562968517/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (.f64 -187744994129282134307662401661/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 7390621706424562968517/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2)))))
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(.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2)))))
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(/.f64 -999999999/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(-.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(*.f64 8007952583978091/10000000000000000 x)
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x))
(*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))
(*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))

Outputs
(/.f64 -999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))
(-.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (/.f64 (*.f64 x 8007952583978091/10000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 7390621706424562968517/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 7390621706424562968517/20000000000000000000000 (.f64 x x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 7390621706424562968517/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
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(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 7390621706424562968517/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (*.f64 x x) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1))))
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(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 (exp.f64 x) x)))
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(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) (/.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 (exp.f64 x) x)) (fma.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (/.f64 8007952583978091/10000000000000000 (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (/.f64 (.f64 x -12609378273575437031483/20000000000000000000000) (pow.f64 (exp.f64 x) x)))))
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(-.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (.f64 x x) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (fma.f64 8007952583978091/10000000000000000 (/.f64 x (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (/.f64 (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))) (/.f64 999999999/1000000000 (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
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(+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))
(fma.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -12609378273575437031483/20000000000000000000000))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (.f64 x x))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 x (.f64 x (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1))))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (.f64 (.f64 x x) (+.f64 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) 212652635069622415692337598339/500000000000000000000000000000)) (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)))))
(-.f64 (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) x)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (*.f64 x x) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000)
(/.f64 (*.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000) (fma.f64 3275911/10000000 x 1))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 3275911/10000000 x 1) 212652635069622415692337598339/500000000000000000000000000000))
(+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(fma.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -12609378273575437031483/20000000000000000000000)))
(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (.f64 x x)))
(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 x (.f64 x (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)))))
(.f64 (.f64 x x) (+.f64 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) 212652635069622415692337598339/500000000000000000000000000000)) (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1))))
(+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))))
(fma.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -12609378273575437031483/20000000000000000000000))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (.f64 x x))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (.f64 x (.f64 x (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1))))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (.f64 (.f64 x x) (+.f64 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) 212652635069622415692337598339/500000000000000000000000000000)) (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)))))
(-.f64 (+.f64 (.f64 8007952583978091/10000000000000000 (/.f64 x (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 -12609378273575437031483/20000000000000000000000 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 212652635069622415692337598339/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 (.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) x)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 (/.f64 -12609378273575437031483/20000000000000000000000 (fma.f64 3275911/10000000 x 1)) (*.f64 x x) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(fma.f64 8007952583978091/10000000000000000 (/.f64 x (fma.f64 3275911/10000000 x 1)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 3275911/10000000 x 1)) 212652635069622415692337598339/500000000000000000000000000000 (fma.f64 -12609378273575437031483/20000000000000000000000 (/.f64 x (/.f64 (fma.f64 3275911/10000000 x 1) x)) (/.f64 -999999999/1000000000 (fma.f64 3275911/10000000 x 1)))))
(*.f64 8007952583978091/10000000000000000 x)
(*.f64 x 8007952583978091/10000000000000000)
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x))
(fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000))
(fma.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000 (.f64 x 8007952583978091/10000000000000000))
(.f64 x (+.f64 (.f64 x -12609378273575437031483/20000000000000000000000) 8007952583978091/10000000000000000))
(.f64 x (+.f64 8007952583978091/10000000000000000 (.f64 x -12609378273575437031483/20000000000000000000000)))
(*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000)
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))
(fma.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000 (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))
(.f64 (.f64 x x) (+.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x 212652635069622415692337598339/500000000000000000000000000000)))
(.f64 x (.f64 x (+.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x 212652635069622415692337598339/500000000000000000000000000000))))
(*.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000)
(+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))
(fma.f64 (.f64 x x) -12609378273575437031483/20000000000000000000000 (.f64 (pow.f64 x 3) 212652635069622415692337598339/500000000000000000000000000000))
(.f64 (.f64 x x) (+.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x 212652635069622415692337598339/500000000000000000000000000000)))
(.f64 x (.f64 x (+.f64 -12609378273575437031483/20000000000000000000000 (*.f64 x 212652635069622415692337598339/500000000000000000000000000000))))

eval841.0ms (4.8%)

Compiler: Compiled 23400 to 17570 computations (24.9% saved)

prune106.0ms (0.6%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	645	9	654
Fresh	6	9	15
Picked	1	0	1
Done	2	6	8
Total	654	24	678

Error

0.1b

Counts

678 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	1/1000000000
	13.2b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
✓	12.8b	(+.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)))
	32.5b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	59.4b	(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
✓	33.0b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	13.9b	(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
	53.8b	93146301/125000000
	33.9b	(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
	60.9b	(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
	27.3b	1
	32.8b	(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
	33.7b	(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
	13.2b	(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
	34.9b	(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
✓	13.2b	(.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)
	13.9b	(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
✓	12.8b	(-.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 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))))))
✓	61.6b	(*.f64 564193179035109/500000000000000 x)
	33.9b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
	61.7b	(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
	32.0b	(pow.f64 1/1000000000000000000000000000 1/3)
	33.3b	(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
	13.9b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))

Compiler

Compiled 474 to 398 computations (16% saved)

regimes499.0ms (2.8%)

Counts

55 → 2

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(-.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 -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)))))
(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 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
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(+.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 (+.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 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 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)))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))
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(/.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))))))
(+.f64 (+.f64 (fma.f64 x (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8007952583978091/10000000000000000) 1) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000)) (.f64 x (.f64 x (+.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 168887785863982083186659/100000000000000000000000) (fma.f64 1061405429/1000000000 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) (fma.f64 1421413741/1000000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))) (/.f64 (.f64 -192099110539187906249601/100000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))))
(+.f64 (+.f64 (fma.f64 x (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 8007952583978091/10000000000000000) 1) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) -999999999/1000000000)) (.f64 (.f64 x x) (-.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 168887785863982083186659/100000000000000000000000) (fma.f64 1061405429/1000000000 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) (fma.f64 1421413741/1000000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1))))) (/.f64 (.f64 -192099110539187906249601/100000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 1379339264820437038350329953599/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1))) (+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 10731592879921/6250000000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 32194778639763/50000000000000 (fma.f64 3275911/10000000 x 1)))) -3477069720320819/2500000000000000 (fma.f64 -1061405429/1000000000 (fma.f64 -3275911/2500000 (/.f64 (+.f64 82194778639763/50000000000000 (.f64 x 269262779488564649093/500000000000000000000)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 362746843162854883031/250000000000000000000)) (+.f64 (/.f64 (.f64 (fma.f64 3275911/10000000 x 1) 1479205652414273064383345553837/1000000000000000000000000000000) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 (.f64 -1887898767916624779450109984533/1000000000000000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (fma.f64 3275911/10000000 (/.f64 -793642826674426111317/3125000000000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 -1421413741/1000000000 (fma.f64 3275911/5000000 (+.f64 (-.f64 (/.f64 10731592879921/25000000000000 (fma.f64 3275911/10000000 x 1)) (fma.f64 3275911/10000000 (/.f64 x (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 10731592879921/100000000000000 (fma.f64 3275911/10000000 x 1)))) (/.f64 -1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 (*.f64 -362746843162854883031/500000000000000000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (/.f64 -4656424909693051/5000000000000000 (fma.f64 3275911/10000000 x 1)))))) x))))

Outputs

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

(-.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))))

Calls

7 calls:

180.0ms	(fabs.f64 x)
95.0ms	(fabs.f64 x)
94.0ms	x
14.0ms	(-.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))))))
9.0ms	(.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
0.1b	3	`x`
0.1b	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))))))
0.1b	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))))))
0.1b	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)))))
0.1b	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)))))
0.1b	2	`(fabs.f64 x)`
0.1b	2	`(fabs.f64 x)`

Compiler

Compiled 2258 to 1794 computations (20.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3632784500000664e-7	2.691900019007884e-6

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes322.0ms (1.8%)

Counts

50 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(-.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 -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)))))
(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 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (pow.f64 (cbrt.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))) 3)) (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 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 (+.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 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 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)))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (.f64 x x)))))))

Outputs

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

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

Calls

7 calls:

113.0ms	x
69.0ms	(fabs.f64 x)
54.0ms	(fabs.f64 x)
12.0ms	(-.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))))))
12.0ms	(.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
0.1b	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 1577 to 1236 computations (21.6% saved)

bsearch146.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	2.8577931967385142e-18	2.691900019007884e-6
88.0ms	-0.1042389592740314	-1.3632784500000664e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes380.0ms (2.2%)

Counts

47 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(-.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 -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)))))
(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 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (pow.f64 (cbrt.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))) 3)) (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 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 (+.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)))))))

Outputs

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

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

Calls

7 calls:

107.0ms	(fabs.f64 x)
106.0ms	x
65.0ms	(fabs.f64 x)
17.0ms	(.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)))))
15.0ms	(-.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 1437 to 1128 computations (21.5% saved)

bsearch109.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	2.8577931967385142e-18	2.691900019007884e-6
55.0ms	-0.1042389592740314	-1.3632784500000664e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes219.0ms (1.2%)

Counts

45 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(-.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 -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)))))
(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 (+.f64 (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (.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 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (pow.f64 (cbrt.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))) 3)) (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 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 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)

Calls

7 calls:

66.0ms	x
44.0ms	(fabs.f64 x)
44.0ms	(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)))))
8.0ms	(.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 1023 computations (21.7% saved)

bsearch112.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	2.8577931967385142e-18	2.691900019007884e-6
58.0ms	-0.1042389592740314	-1.3632784500000664e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes164.0ms (0.9%)

Counts

40 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(-.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 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)

Calls

3 calls:

55.0ms	x
43.0ms	(fabs.f64 x)
41.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	2	`(fabs.f64 x)`
0.4b	2	`(fabs.f64 x)`

Compiler

Compiled 791 to 615 computations (22.3% saved)

bsearch128.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	2.8577931967385142e-18	2.691900019007884e-6
73.0ms	-6949695841.479063	-0.1042389592740314

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes153.0ms (0.9%)

Counts

38 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)
(.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (fma.f64 x 8007952583978091/10000000000000000 (.f64 212652635069622415692337598339/500000000000000000000000000000 (pow.f64 x 3)))) -745170407/1000000000)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1)))) 2))
(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)))

Outputs

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

(*.f64 (+.f64 1 (/.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))))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)

Calls

3 calls:

59.0ms	x
39.0ms	(fabs.f64 x)
35.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	2	`(fabs.f64 x)`
0.4b	2	`(fabs.f64 x)`

Compiler

Compiled 688 to 533 computations (22.5% saved)

bsearch104.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.8577931967385142e-18	2.691900019007884e-6
52.0ms	-6949695841.479063	-0.1042389592740314

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes132.0ms (0.8%)

Counts

34 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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)

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 (+.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)

Calls

3 calls:

50.0ms	x
33.0ms	(fabs.f64 x)
32.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	2	`(fabs.f64 x)`
0.4b	2	`(fabs.f64 x)`

Compiler

Compiled 526 to 410 computations (22.1% saved)

bsearch103.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.8577931967385142e-18	2.691900019007884e-6
52.0ms	-6949695841.479063	-0.1042389592740314

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes132.0ms (0.8%)

Counts

33 → 2

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) 1/1000000000000000000000000000)) 1/3)
(.f64 (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 564193179035109/500000000000000 x)))) 1)
(sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))
(+.f64 1/1000000000 (log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x)))
(+.f64 1 (/.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (+.f64 (.f64 3634786878873098986192896/1073741824000000000000000000000000000000000 x) (+.f64 (.f64 78228834575084666243053370824092672/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000000000000000000000 (*.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) 1/3)
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (.f64 (-.f64 (+.f64 (.f64 -12609378273575437031483/20000000000000000000000 (pow.f64 x 2)) (.f64 8007952583978091/10000000000000000 x)) 745170407/1000000000) 1)) (+.f64 (.f64 x 3275911/10000000) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 3275911/10000000 x 1)) (+.f64 8007952583978091/10000000000000000 (.f64 x (.f64 x -8007952583978091/10000000000000000)))) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (*.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(-.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))))
(+.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)))
(fma.f64 x (/.f64 8007952583978091/10000000000000000 (fma.f64 3275911/10000000 x 1)) (+.f64 1 (.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (fma.f64 (.f64 x x) 7390621706424562968517/20000000000000000000000 -999999999/1000000000))))
(fma.f64 (/.f64 (+.f64 (fma.f64 -12609378273575437031483/20000000000000000000000 (.f64 x x) (.f64 x 8007952583978091/10000000000000000)) -999999999/1000000000) (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 (.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 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)))
(+.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))))

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

Calls

3 calls:

46.0ms	x
34.0ms	(fabs.f64 x)
31.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(fabs.f64 x)`
0.5b	2	`(fabs.f64 x)`

Compiler

Compiled 483 to 376 computations (22.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1042389592740314	18.7943225473746

Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes66.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)

Outputs
1
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
1

Calls

3 calls:

28.0ms	x
18.0ms	(fabs.f64 x)
17.0ms	(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 96 to 80 computations (16.7% saved)

bsearch106.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.030677761684903028	18.7943225473746
55.0ms	-1.3632784500000664e-7	-2.2007546443640264e-13

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes61.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(-.f64 1 (.f64 999999999/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))

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

Calls

3 calls:

24.0ms	x
17.0ms	(fabs.f64 x)
16.0ms	(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 89 to 75 computations (15.7% saved)

bsearch140.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	0.030677761684903028	18.7943225473746
55.0ms	-1.3632784500000664e-7	-2.2007546443640264e-13

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes107.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1))
(pow.f64 1/1000000000000000000000000000 1/3)
(-.f64 1 (/.f64 999999999/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))

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

Calls

3 calls:

72.0ms	(fabs.f64 x)
19.0ms	x
13.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.8b	3	`x`
0.9b	2	`(fabs.f64 x)`
0.9b	2	`(fabs.f64 x)`

Compiler

Compiled 55 to 46 computations (16.4% saved)

bsearch103.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.030677761684903028	18.7943225473746
52.0ms	-1.3632784500000664e-7	-2.2007546443640264e-13

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes22.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 93146301/125000000 (*.f64 104349882944789/1250000000000000 x))

Outputs
1
1/1000000000
1

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch145.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	2.691900019007884e-6	0.030677761684903028
93.0ms	-0.1042389592740314	-1.3632784500000664e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -29.1b remaining (-104.8%)

Threshold costs -29.1b (-104.8%)

Counts

3 → 3

Calls

Call 1

Inputs
1/1000000000
93146301/125000000
1/1000000000

Outputs
93146301/125000000
1/1000000000
93146301/125000000

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
27.8b	3	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch173.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	2.691900019007884e-6	0.030677761684903028
84.0ms	-0.1042389592740314	-1.3632784500000664e-7

Compiler

Compiled 69 to 55 computations (20.3% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

81×	`+-commutative_binary64`
62×	`*-commutative_binary64`
51×	`sub-neg_binary64`
46×	`neg-sub0_binary64`
46×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1028
1	237	1028
2	292	1028
3	359	1028
4	416	1028
5	469	1028
6	520	1028
7	570	1028
8	605	1028
9	622	1028
10	634	1028
11	638	1028
12	639	1028

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (-.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)))))
(if (<=.f64 x -1922869404237890048/18446744073709551616) (+.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))) (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -1922869404237890048/18446744073709551616) (+.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))) (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))
(if (<=.f64 x -1922869404237890048/18446744073709551616) (-.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 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.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))))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.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)))
(if (<=.f64 (fabs.f64 x) 3689348814741910528/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1)
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -1922869404237890048/18446744073709551616) 1 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 1))
(if (<=.f64 x -1922869404237890048/18446744073709551616) 93146301/125000000 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 93146301/125000000))
1/1000000000

Outputs
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (-.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)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (-.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)))))
(if (<=.f64 (fabs.f64 x) 944473296573929/4722366482869645213696) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.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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(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 (+.f64 -1421413741/1000000000 (/.f64 (+.f64 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (+.f64 (/.f64 (+.f64 -1421413741/1000000000 (/.f64 (+.f64 1453152027/1000000000 (/.f64 -1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)))) (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.f64 (+.f64 1 (/.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))))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.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))))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 1 (/.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))))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3275911/10000000 x 1))))))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (.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)))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 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))))))
(if (<=.f64 x -3643642133337375/524288) 1 (if (<=.f64 x 7419255318883795/2596148429267413814265248164610048) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 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))))))
(if (<=.f64 (fabs.f64 x) 3689348814741910528/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1)
(if (<=.f64 (fabs.f64 x) 3602879701896397/18014398509481984) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))) 1)
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 4421131394966085/144115188075855872) (fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x))) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 4421131394966085/144115188075855872) (+.f64 1/1000000000 (+.f64 (.f64 x 564193179035109/500000000000000) (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)))) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 565904818555658880/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -1287580091819759/9444732965739290427392) 1 (if (<=.f64 x 4421131394966085/144115188075855872) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -1922869404237890048/18446744073709551616) 1 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 1))
(if (<=.f64 x -3755604305152129/36028797018963968) 1 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 1))
(if (<=.f64 x -1922869404237890048/18446744073709551616) 93146301/125000000 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 93146301/125000000))
(if (<=.f64 x -3755604305152129/36028797018963968) 93146301/125000000 (if (<=.f64 x 794508651562437/295147905179352825856) 1/1000000000 93146301/125000000))
1/1000000000

Compiler

Compiled 711 to 582 computations (18.1% saved)

soundness213.0ms (1.2%)

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

Compiler

Compiled 4224 to 3490 computations (17.4% saved)

end436.0ms (2.5%)

Compiler: Compiled 698 to 553 computations (20.8% saved)