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)

sample2.7s (16.2%)

Results

2.7s

8256×

body

256

valid

preprocess61.0ms (0.4%)

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)

simplify48.0ms (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

14.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	14.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Status

Error

Program

▶

14.2b

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

▶

14.2b

(-.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 (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	14.1b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 311 to 225 computations (27.7% saved)

series104.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
64.0ms	x	@	0	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
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)))
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	@	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)))
2.0ms	x	@	0	(+.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)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	565	99

Stop Event

1×	node limit

Counts

4 → 121

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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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simplify191.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
641×	`associate--l+_binary64`
530×	`associate-+r+_binary64`
455×	`fma-def_binary64`
444×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2521
1	620	2384
2	1764	2078
3	7503	2078

Stop Event

1×	node limit

Counts

169 → 141

Calls

Call 1

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

localize358.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
✓	0.8b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 447 to 340 computations (23.9% saved)

series69.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	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))))
6.0ms	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))))))
6.0ms	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))))))
6.0ms	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))))))
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))))

rewrite89.0ms (0.5%)

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

simplify103.0ms (0.6%)

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

eval609.0ms (3.6%)

Compiler: Compiled 20567 to 15805 computations (23.2% saved)

prune119.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	290	17	307
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	291	18	309

Error

14.1b

Counts

309 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	44.8b	(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)
▶	44.8b	(+.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 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))))
	14.5b	(.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
	14.4b	(-.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))))))
▶	14.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.5b	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
▶	15.2b	(-.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)
	16.3b	(-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.5b	(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)
	16.5b	(+.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (+.f64 1 (/.f64 -1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5))) (+.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))
	14.5b	(/.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))))))
▶	14.5b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
	14.4b	(-.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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	14.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.5b	(cbrt.f64 (pow.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)))) 3))
	15.2b	(log.f64 (exp.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))))))
	16.4b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
▶	14.4b	(-.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)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 1999 to 1648 computations (17.6% saved)

localize219.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.6b	(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 489 to 376 computations (23.1% saved)

series37.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
3.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
2.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`add-sqr-sqrt_binary64`
338×	`pow1_binary64`
337×	`*-un-lft-identity_binary64`
336×	`add-log-exp_binary64`
335×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	133
1	770	107

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
605×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
455×	`associate-l_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1712
1	273	1688
2	531	1664
3	1625	1664

Stop Event

1×	node limit

Counts

108 → 86

Calls

Call 1

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

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

localize113.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
✓	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.1b	(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))

Compiler

Compiled 280 to 225 computations (19.6% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite164.0ms (1%)

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	101
1	558	97
2	7811	97

Stop Event

1×	node limit

Counts

4 → 124

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

618×	`associate-*l/_binary64`
496×	`associate-*r/_binary64`
396×	`fma-def_binary64`
380×	`fma-neg_binary64`
337×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	732
1	336	702
2	1014	668
3	3652	629

Stop Event

1×	node limit

Counts

172 → 181

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))))
1061405429/1000000000
(+.f64 1061405429/1000000000 (*.f64 -3477069720320819/10000000000000000 x))
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (.f64 -3477069720320819/10000000000000000 x)))
(+.f64 1061405429/1000000000 (+.f64 (.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1061405429/327591100 x)
(-.f64 (.f64 1061405429/327591100 (/.f64 1 x)) (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))

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 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.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 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -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 -10000000/3275911 (.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921))) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -53932632800000/10731592879921)) x))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
(+.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x)))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031) (pow.f64 x 3)))
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 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -53932632800000/10731592879921)) x)))
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localize121.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.1b	(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)))))
✓	12.0b	(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))))

Compiler

Compiled 288 to 230 computations (20.1% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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	x	@	-inf	(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))))
1.0ms	x	@	inf	(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)))))
1.0ms	x	@	-inf	(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)))))
1.0ms	x	@	0	(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))))

rewrite176.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	118
1	545	117
2	7503	117

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs

(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))))

(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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 (log.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)) (log.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) (log.f64 (sqrt.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 -.f64 (exp.f64 (log1p.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)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 (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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 (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))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 (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 *.f64 (sqrt.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))))) (sqrt.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 pow.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 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(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 log.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 cbrt.f64 (pow.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)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (log.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 (log.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.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 (+.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 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 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simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-def_binary64`
441×	`cancel-sign-sub-inv_binary64`
398×	`associate-/r*_binary64`
391×	`fma-neg_binary64`
387×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1197
1	385	1170
2	1288	1155
3	5189	1152

Stop Event

1×	node limit

Counts

66 → 75

Calls

Call 1

Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (+.f64 (.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (.f64 31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))

Outputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(fma.f64 564193179035109/500000 x (log.f64 1/1000000000))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (log.f64 1/1000000000)))
(fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(+.f64 (.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (.f64 x x) (+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x)
(/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))
(/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))
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(fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
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(-.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 3)) (-.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (exp.f64 (.f64 x x))) (+.f64 (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (.f64 x x)) 4)) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 2))))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x))))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/24 (/.f64 (-.f64 (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (exp.f64 (.f64 x x))) (-.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (.f64 x x)) 4)))) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 (.f64 x x)) 2))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))))
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(+.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))) (pow.f64 x 3)) (fma.f64 -31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 (.f64 x x)) 2))))))) (-.f64 1 (+.f64 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 129282459915622549964396/1647925460758822642078125 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (*.f64 x x)) 3))))))
(+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (.f64 2 x)))) (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (+.f64 (fma.f64 -31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x x)) (pow.f64 (exp.f64 x) (.f64 2 x)))) 1)) (+.f64 (/.f64 63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))
(+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (.f64 x x)))) (pow.f64 x 3)) (+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (.f64 x x)))) (.f64 x x)) (+.f64 (fma.f64 -31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 2) (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 2) (.f64 x x)))))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))) (/.f64 -129282459915622549964396/1647925460758822642078125 (pow.f64 (*.f64 x (pow.f64 (exp.f64 x) x)) 3)))))
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 (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 2029316279965202/6707245549950625 (.f64 (.f64 x x) (pow.f64 (exp.f64 (.f64 x x)) 2)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (+.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 (.f64 x x)) 2)))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))))
(+.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (+.f64 (/.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x x)) (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (.f64 x x)))) (.f64 x x)) (+.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 2) (.f64 x x))))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (.f64 31853699/81897775 (/.f64 (-.f64 (.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (.f64 2029316279965202/6707245549950625 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (-.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x)))))) (pow.f64 x 3)) (/.f64 2029316279965202/6707245549950625 (.f64 (.f64 x x) (pow.f64 (exp.f64 (.f64 x x)) 2))))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 (.f64 x x)) 2)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (+.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)) (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)))) (.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 (.f64 x x)) 2)) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 3)))))) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (exp.f64 (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (+.f64 1 (/.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x x)) (pow.f64 (exp.f64 x) (.f64 2 x)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (*.f64 2 x)))))) (pow.f64 x 3))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (.f64 x x)))) (.f64 x x)) (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (.f64 x (.f64 x (pow.f64 (exp.f64 2) (.f64 x x))))) (/.f64 (+.f64 (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (.f64 x x)))) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 2) (.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (+.f64 1 (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))

localize428.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.1b	(+.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))))
✓	14.9b	(-.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)

Compiler

Compiled 378 to 302 computations (20.1% saved)

series15.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(-.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)
5.0ms	x	@	-inf	(-.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)
2.0ms	x	@	0	(-.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)
1.0ms	x	@	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))))
1.0ms	x	@	-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))))

rewrite211.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`add-sqr-sqrt_binary64`
283×	`add-log-exp_binary64`
282×	`pow1_binary64`
282×	`expm1-log1p-u_binary64`
281×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	607	118

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs

(-.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)

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Outputs

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(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)))))

simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

635×	`associate-*l/_binary64`
568×	`associate-*r/_binary64`
452×	`times-frac_binary64`
441×	`associate-/l/_binary64`
369×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	769
1	270	737
2	812	725
3	2801	616

Stop Event

1×	node limit

Counts

121 → 73

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 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 2 (/.f64 (-.f64 (+.f64 (.f64 -31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 1/6 (-.f64 (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 6735710415000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 6735710415000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (+.f64 (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 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 x (*.f64 x -2364858879768868679/20000000000000000000000) 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 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
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 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 (.f64 2 (+.f64 (/.f64 1014658139982601/13414491099901250 (pow.f64 (exp.f64 (.f64 x x)) 2)) (.f64 1/2 (-.f64 (/.f64 53932632800000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))))) (.f64 x x)) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (fma.f64 2 (/.f64 (fma.f64 1/2 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (/.f64 1014658139982601/13414491099901250 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 2 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/13414491099901250 (pow.f64 (exp.f64 x) (.f64 2 x)))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (fma.f64 (/.f64 2 x) (/.f64 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 (exp.f64 (.f64 -2 (*.f64 x x))) 0)) x) (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 2 (/.f64 (-.f64 (+.f64 (.f64 -31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 1/6 (-.f64 (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 6735710415000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 1014658139982601/13414491099901250 (pow.f64 (exp.f64 (.f64 x x)) 2)) (.f64 1/2 (-.f64 (/.f64 53932632800000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))))) (.f64 x x)) (/.f64 (-.f64 (fma.f64 -31853699/163795550 (/.f64 (-.f64 (/.f64 53932632800000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2))) (exp.f64 (.f64 x x))) (.f64 1/6 (-.f64 (/.f64 206154462178647264000/35155743162854883031 (pow.f64 (exp.f64 (.f64 x x)) 2)) (fma.f64 6735710415000000000000/35155743162854883031 (exp.f64 (neg.f64 (.f64 x x))) (/.f64 64641229957811274982198/549308486919607547359375 (pow.f64 (exp.f64 (.f64 x x)) 3)))))) (/.f64 32320614978905637491099/3295850921517645284156250 (pow.f64 (exp.f64 (.f64 x x)) 3))) (pow.f64 x 3)))) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (fma.f64 2 (+.f64 (/.f64 (fma.f64 1/2 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (/.f64 1014658139982601/13414491099901250 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 (fma.f64 -31853699/163795550 (-.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (fma.f64 1/6 (-.f64 (/.f64 206154462178647264000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (+.f64 (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 64641229957811274982198/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (/.f64 -32320614978905637491099/3295850921517645284156250 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (fma.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 1014658139982601/13414491099901250 (pow.f64 (exp.f64 x) (.f64 2 x))) (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/13414491099901250 (pow.f64 (exp.f64 x) (.f64 2 x))))) (.f64 x x)) (/.f64 (fma.f64 -31853699/163795550 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (fma.f64 1/6 (+.f64 (/.f64 206154462178647264000/35155743162854883031 (pow.f64 (exp.f64 x) (.f64 2 x))) (-.f64 (/.f64 -64641229957811274982198/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)))) (/.f64 -32320614978905637491099/3295850921517645284156250 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (/.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 2 (.f64 x x)) (+.f64 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 (exp.f64 (.f64 -2 (.f64 x x))) 0)) (/.f64 (fma.f64 (exp.f64 (.f64 (.f64 x x) -3)) -32320614978905637491099/3295850921517645284156250 (fma.f64 1/6 (fma.f64 (exp.f64 (.f64 -2 (.f64 x x))) 206154462178647264000/35155743162854883031 (fma.f64 (exp.f64 (.f64 (.f64 x x) -3)) -64641229957811274982198/549308486919607547359375 (/.f64 -6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)))) (+.f64 (.f64 (exp.f64 (.f64 -2 (.f64 x x))) -34359077029774544000/35155743162854883031) (/.f64 32320614978905637491099/1098616973839215094718750 (exp.f64 (.f64 3 (.f64 x x))))))) 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 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 (.f64 2 (+.f64 (/.f64 1014658139982601/13414491099901250 (pow.f64 (exp.f64 (.f64 x x)) 2)) (.f64 1/2 (-.f64 (/.f64 53932632800000/10731592879921 (exp.f64 (.f64 x x))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 (.f64 x x)) 2)))))) (.f64 x x)) (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x))))))
(+.f64 1 (fma.f64 2 (/.f64 (fma.f64 1/2 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (/.f64 1014658139982601/13414491099901250 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 2 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/13414491099901250 (pow.f64 (exp.f64 x) (.f64 2 x)))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (fma.f64 (/.f64 2 x) (/.f64 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 (exp.f64 (.f64 -2 (*.f64 x x))) 0)) x) (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 6735710415000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (+.f64 (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
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(+.f64 1 (+.f64 (.f64 -2 (/.f64 (fma.f64 1/6 (+.f64 (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 64641229957811274982198/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (/.f64 206154462178647264000/35155743162854883031 (pow.f64 (pow.f64 (exp.f64 x) x) 2)))) (fma.f64 (-.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) 31853699/163795550 (/.f64 32320614978905637491099/3295850921517645284156250 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (fma.f64 2 (/.f64 (fma.f64 1/2 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (/.f64 1014658139982601/13414491099901250 (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 2 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -1014658139982601/13414491099901250 (pow.f64 (exp.f64 x) (.f64 2 x)))) (/.f64 1014658139982601/6707245549950625 (pow.f64 (exp.f64 x) (.f64 2 x)))) (.f64 x x)) (fma.f64 -2 (/.f64 (+.f64 (fma.f64 1/6 (+.f64 (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 64641229957811274982198/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -34359077029774544000/35155743162854883031 (pow.f64 (exp.f64 x) (.f64 2 x)))) (fma.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) (.f64 2 x))) (/.f64 -1014658139982601/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) 31853699/163795550 (/.f64 32320614978905637491099/3295850921517645284156250 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3)) (/.f64 -63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 1 (fma.f64 2 (/.f64 (+.f64 (/.f64 26966316400000/10731592879921 (pow.f64 (exp.f64 x) x)) (.f64 (exp.f64 (.f64 -2 (.f64 x x))) 0)) (.f64 x x)) (fma.f64 -2 (/.f64 (fma.f64 1/6 (fma.f64 (exp.f64 (.f64 -2 (.f64 x x))) -206154462178647264000/35155743162854883031 (fma.f64 64641229957811274982198/549308486919607547359375 (exp.f64 (.f64 (.f64 x x) -3)) (/.f64 6735710415000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)))) (fma.f64 (exp.f64 (.f64 (.f64 x x) -3)) 32320614978905637491099/3295850921517645284156250 (+.f64 (.f64 (exp.f64 (.f64 -2 (.f64 x x))) 34359077029774544000/35155743162854883031) (/.f64 -32320614978905637491099/1098616973839215094718750 (exp.f64 (.f64 3 (*.f64 x x))))))) (pow.f64 x 3)) (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))))
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 x (*.f64 x -2364858879768868679/20000000000000000000000) 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 1/1000000000 (fma.f64 564193179035109/500000000000000 x (.f64 (.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
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 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x))) (/.f64 -63707398/81897775 (.f64 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 (+.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 1 (-.f64 (/.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 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.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))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 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 1 (+.f64 (/.f64 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.f64 x) x)))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x))) (/.f64 -63707398/81897775 (.f64 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 (+.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 1 (-.f64 (/.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 53932632800000/10731592879921 (.f64 x (.f64 x (pow.f64 (exp.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))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (/.f64 -2245236805000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))

localize215.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	1.3b	(cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 456 to 357 computations (21.7% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

351×	`add-sqr-sqrt_binary64`
332×	`pow1_binary64`
331×	`*-un-lft-identity_binary64`
331×	`add-log-exp_binary64`
330×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	113
1	730	91

Stop Event

1×	node limit

Counts

3 → 81

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)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))

(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))

Outputs

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simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

776×	`times-frac_binary64`
509×	`fma-def_binary64`
486×	`associate-/r*_binary64`
332×	`associate-/l*_binary64`
286×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2063
1	714	1951
2	1836	1615

Stop Event

1×	node limit

Counts

117 → 135

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 (.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 (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 (+.f64 1 (.f64 3477069720320819/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (+.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 (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))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
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(-.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))
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(-.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))
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(-.f64 (+.f64 1421413741/1000000000 (+.f64 (.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 x 3)))) (.f64 1061405429/327591100 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) x))))) (+.f64 (.f64 106140542900000/10731592879921 (/.f64 1 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 x 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))

Outputs
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eval1.2s (6.9%)

Compiler: Compiled 50167 to 39037 computations (22.2% saved)

prune156.0ms (0.9%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	835	15	850
Fresh	9	3	12
Picked	1	0	1
Done	2	3	5
Total	847	21	868

Error

0.7b

Counts

868 → 21

Alt Table

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Status	Error	Program
▶	16.3b	(-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	30.4b	1
	15.7b	(.f64 (+.f64 (sqrt.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)))))) 1) (-.f64 (sqrt.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)))))) 1))
▶	30.2b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
	14.5b	(cbrt.f64 (pow.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)))) 3))
	28.5b	1/1000000000
	30.8b	(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
	15.2b	(log.f64 (exp.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))))))
	34.1b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
✓	14.5b	(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)))))
▶	16.6b	(-.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 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	14.4b	(-.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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	15.2b	(+.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))))) -1)
▶	15.8b	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
	29.5b	(exp.f64 (log.f64 1/1000000000))
	16.4b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.5b	(+.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)
	30.8b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
▶	14.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (+.f64 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	14.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
✓	14.2b	(-.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 1494 to 1225 computations (18% saved)

localize205.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
✓	0.5b	(+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (+.f64 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 366 to 261 computations (28.7% saved)

series26.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (+.f64 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (+.f64 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (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 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))
1.0ms	x	@	inf	(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`add-sqr-sqrt_binary64`
326×	`add-log-exp_binary64`
325×	`add-cbrt-cube_binary64`
325×	`pow1_binary64`
325×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	118
1	727	94

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (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 (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 (+.f64 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) -3) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 x 1))) -8890523/31250000) (fma.f64 3275911/10000000 x 1)))) (fma.f64 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simplify141.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
510×	`fma-def_binary64`
463×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
342×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	1476
1	241	1452
2	446	1428
3	1398	1428
4	7268	1404

Stop Event

1×	node limit

Counts

119 → 94

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

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

localize10.0ms (0.1%)

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)

series37.0ms (0.2%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
3.0ms	x	@	inf	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	-inf	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	0	(*.f64 564193179035109/500000000000000 x)
1.0ms	x	@	-inf	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite169.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.1%)

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)

localize184.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 3275911/10000000 x 1)
✓	0.3b	(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓	14.1b	(+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
✓	14.9b	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)

Compiler

Compiled 208 to 156 computations (25% saved)

series15.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
3.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
2.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
1.0ms	x	@	inf	(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
1.0ms	x	@	-inf	(fma.f64 3275911/10000000 x 1)

rewrite310.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`prod-diff_binary64`
379×	`log1p-udef_binary64`
221×	`add-sqr-sqrt_binary64`
211×	`add-log-exp_binary64`
210×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	457	101
2	6116	101

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 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(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) (+.f64 1 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2)) (/.f64 1 (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 1) (-.f64 (sqrt.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) (+.f64 1 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 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simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-*l/_binary64`
491×	`times-frac_binary64`
480×	`associate-/l/_binary64`
392×	`associate-/l*_binary64`
365×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1022
1	358	966
2	1033	954
3	3413	835

Stop Event

1×	node limit

Counts

263 → 207

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 2 (/.f64 (-.f64 (+.f64 (.f64 -31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))) (.f64 1/6 (-.f64 (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 5560470621000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))))))) (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2)))) (.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1014658139982601/13414491099901250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (.f64 1/2 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))))) (pow.f64 x 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 64641229957811274982198/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 5560470621000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (.f64 206154462178647264000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (+.f64 (.f64 32320614978905637491099/3295850921517645284156250 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 31853699/163795550 (/.f64 (-.f64 (.f64 53932632800000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (.f64 1014658139982601/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (+.f64 (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
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))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(fma.f64 9090120849982139/10000000000000000 x 1/1000000000)
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (.f64 x x) (+.f64 1/1000000000 (.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (fma.f64 9090120849982139/10000000000000000 x 1/1000000000))
(fma.f64 9090120849982139/10000000000000000 x (fma.f64 x (*.f64 x 20062385210555165538559/50000000000000000000000) 1/1000000000))
(fma.f64 9090120849982139/10000000000000000 x (fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) 1/1000000000))
(+.f64 (.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
(fma.f64 20062385210555165538559/50000000000000000000000 (.f64 x x) (+.f64 1/1000000000 (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) (.f64 9090120849982139/10000000000000000 x))))
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(fma.f64 x (*.f64 x 20062385210555165538559/50000000000000000000000) (fma.f64 9090120849982139/10000000000000000 x (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) 1/1000000000)))
1
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1
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1/1000000000
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(fma.f64 9090120849982139/10000000000000000 x (fma.f64 x (*.f64 x 20062385210555165538559/50000000000000000000000) 1/1000000000))
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1
(-.f64 1 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (.f64 x (exp.f64 (.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 1)
(+.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 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x)) (/.f64 -63707398/81897775 (.f64 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 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.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 1853490207000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(-.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 1) (/.f64 (/.f64 1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (/.f64 -1853490207000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) 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))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 1)
(+.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 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x)) (/.f64 -63707398/81897775 (.f64 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 (+.f64 1 (.f64 53932632800000/10731592879921 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (.f64 63707398/81897775 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.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 1853490207000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(-.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (.f64 x x)) (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 63707398/81897775 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) -63707398/81897775 1) (/.f64 (/.f64 1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (/.f64 -1853490207000000000000/35155743162854883031 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(fma.f64 116284197065161/200000000000000 x -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 -745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (.f64 (.f64 x x) -30096802595103829969253/100000000000000000000000)) -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 (fma.f64 (*.f64 x x) -30096802595103829969253/100000000000000000000000 -745170407/1000000000))
(fma.f64 x (*.f64 x -30096802595103829969253/100000000000000000000000) (fma.f64 x 116284197065161/200000000000000 -745170407/1000000000))
(fma.f64 x (+.f64 116284197065161/200000000000000 (*.f64 x -30096802595103829969253/100000000000000000000000)) -745170407/1000000000)
(-.f64 (+.f64 (.f64 116284197065161/200000000000000 x) (+.f64 (.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (fma.f64 -30096802595103829969253/100000000000000000000000 (.f64 x x) (.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000))) -745170407/1000000000)
(+.f64 (fma.f64 (.f64 x x) -30096802595103829969253/100000000000000000000000 (.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000)) (fma.f64 x 116284197065161/200000000000000 -745170407/1000000000))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 x (*.f64 x -30096802595103829969253/100000000000000000000000) (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 -745170407/1000000000)))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 x (.f64 x (+.f64 -30096802595103829969253/100000000000000000000000 (.f64 x 33698290077166938468133628729/250000000000000000000000000000))) -745170407/1000000000))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -131416387900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 131416387900000/10731592879921 (*.f64 x x))) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(/.f64 71124184/81897775 x)
(-.f64 (.f64 71124184/81897775 (/.f64 1 x)) (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -131416387900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 131416387900000/10731592879921 (*.f64 x x))) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)

localize195.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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 -195873299/500000000 (fma.f64 x 3275911/10000000 1))))))
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 293 to 216 computations (26.3% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms	x	@	0	(.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 -195873299/500000000 (fma.f64 x 3275911/10000000 1))))))
1.0ms	x	@	inf	(.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 -195873299/500000000 (fma.f64 x 3275911/10000000 1))))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`add-sqr-sqrt_binary64`
281×	`*-un-lft-identity_binary64`
281×	`pow1_binary64`
278×	`add-log-exp_binary64`
277×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	110
1	591	88

Stop Event

1×	node limit

Counts

3 → 103

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 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(+.f64 1421413741/1000000000 (/.f64 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))

(*.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 -195873299/500000000 (fma.f64 x 3275911/10000000 1))))))

Outputs

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simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-neg_binary64`
574×	`times-frac_binary64`
573×	`fma-def_binary64`
521×	`associate-/r*_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	2023
1	695	1901
2	1846	1519
3	7829	1503

Stop Event

1×	node limit

Counts

139 → 157

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) 1) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 1 (.f64 2102032500915037129379/50000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 1 (+.f64 (.f64 2102032500915037129379/50000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 -6886071392105080197541089269/500000000000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3)) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 (+.f64 (.f64 -39174659800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2)))) (+.f64 1 (.f64 195873299/163795550 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 (.f64 -39174659800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 195873299/163795550 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (.f64 391746598000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 3))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 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 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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 195873299/163795550 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 195873299/163795550 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (.f64 -39174659800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 195873299/163795550 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (+.f64 (.f64 391746598000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 3)))) (.f64 -39174659800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 641663494800389/5000000000000000 x))
(+.f64 (.f64 -2102032500915037129379/50000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (.f64 641663494800389/5000000000000000 x)))
(+.f64 (.f64 -2102032500915037129379/50000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (+.f64 (.f64 641663494800389/5000000000000000 x) (*.f64 6886071392105080197541089269/500000000000000000000000000000 (pow.f64 x 3)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 195873299/163795550 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 39174659800000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 195873299/163795550 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 39174659800000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 195873299/163795550 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 195873299/163795550 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 39174659800000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 195873299/163795550 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 39174659800000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 195873299/163795550 (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 8890523/31250000 (.f64 195873299/500000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(-.f64 (+.f64 (.f64 641663494800389/5000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (/.f64 1421413741/1000000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (/.f64 195873299/500000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))
(-.f64 (+.f64 (.f64 641663494800389/5000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 -2102032500915037129379/50000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (/.f64 1421413741/1000000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (/.f64 195873299/500000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))
(-.f64 (+.f64 (.f64 641663494800389/5000000000000000 (/.f64 x (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 -2102032500915037129379/50000000000000000000000 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 (.f64 6886071392105080197541089269/500000000000000000000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (/.f64 1421413741/1000000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (/.f64 195873299/500000000 (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))
(/.f64 (-.f64 (.f64 1421413741/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))) 8890523/31250000) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)) (+.f64 (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) x))) (.f64 8890523/31250000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1)))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (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 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) x)))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (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 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 3)))) (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) x))))))
(/.f64 (-.f64 (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 8890523/31250000) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x)))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x))) (+.f64 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 3)))) (.f64 8890523/31250000 (/.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 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 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 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 195873299/500000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (-.f64 -8890523/31250000 (/.f64 195873299/500000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000)) (fma.f64 x 3275911/10000000 1))) (.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (fma.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000 -8890523/31250000) (fma.f64 x 3275911/10000000 1))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) 1) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (fma.f64 -641663494800389/5000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) x)) 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 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 195873299/500000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))))))
(-.f64 (fma.f64 -641663494800389/5000000000000000 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) x) 1) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (-.f64 -8890523/31250000 (/.f64 195873299/500000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (/.f64 (.f64 x -641663494800389/5000000000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000)) (fma.f64 x 3275911/10000000 1))))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (/.f64 (.f64 x -641663494800389/5000000000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 (fma.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000 -8890523/31250000) (fma.f64 x 3275911/10000000 1))))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 1 (.f64 2102032500915037129379/50000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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(+.f64 (fma.f64 2102032500915037129379/50000000000000000000000 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 3) x))) 1) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (/.f64 (.f64 x -641663494800389/5000000000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000)) (fma.f64 x 3275911/10000000 1))))))
(+.f64 (fma.f64 2102032500915037129379/50000000000000000000000 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 3) x))) 1) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (/.f64 (*.f64 x -641663494800389/5000000000000000) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 (fma.f64 (/.f64 1 (fma.f64 x 3275911/10000000 1)) 1029667143/1000000000 -8890523/31250000) (fma.f64 x 3275911/10000000 1))))))
(-.f64 (+.f64 (.f64 -641663494800389/5000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 1 (+.f64 (.f64 2102032500915037129379/50000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3))) (.f64 -6886071392105080197541089269/500000000000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3)) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 195873299/500000000 (/.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -8890523/31250000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 195873299/163795550 (*.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))
(-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))
(+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (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 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) x)))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -8890523/31250000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 195873299/163795550 (*.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 x (.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (.f64 x x))) (+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (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 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (pow.f64 x 3)))) (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2) x))))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (.f64 x x))) (-.f64 (/.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 (/.f64 195873299/163795550 (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 391746598000000000000/35155743162854883031 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (pow.f64 x 3)))))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 x (.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 391746598000000000000/35155743162854883031 (*.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2))) (-.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (.f64 x x))) (/.f64 391746598000000000000/35155743162854883031 (*.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 1421413741/1000000000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 8890523/31250000) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -8890523/31250000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))
(/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1))
(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2)) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x)))))
(-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -8890523/31250000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 195873299/163795550 (*.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))
(-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))
(+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2)))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -8890523/31250000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 195873299/163795550 (*.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 x (.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (.f64 x x))) (+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2))))
(-.f64 (+.f64 (.f64 39174659800000/10731592879921 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 2)))) (/.f64 1421413741/1000000000 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (.f64 195873299/163795550 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) x))) (+.f64 (.f64 391746598000000000000/35155743162854883031 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2) (pow.f64 x 3)))) (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (.f64 x x))) (-.f64 (/.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 (/.f64 195873299/163795550 (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 391746598000000000000/35155743162854883031 (.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2) (pow.f64 x 3)))))))
(+.f64 (/.f64 39174659800000/10731592879921 (.f64 x (.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 (/.f64 195873299/163795550 x) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 391746598000000000000/35155743162854883031 (*.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (fma.f64 x 3275911/10000000 1)) -8890523/31250000) (fma.f64 x 3275911/10000000 1)) (/.f64 (/.f64 -195873299/163795550 x) (pow.f64 (fma.f64 x 3275911/10000000 1) 2))) (-.f64 (/.f64 39174659800000/10731592879921 (.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (.f64 x x))) (/.f64 391746598000000000000/35155743162854883031 (*.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 2) (pow.f64 x 3)))))

localize156.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))
✓	0.6b	(pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 427 to 335 computations (21.5% saved)

series26.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)
4.0ms	x	@	0	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)
2.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite161.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`add-sqr-sqrt_binary64`
330×	`pow1_binary64`
329×	`*-un-lft-identity_binary64`
329×	`add-log-exp_binary64`
328×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	117
1	727	103

Stop Event

1×	node limit

Counts

3 → 75

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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

(pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)

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

Outputs

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simplify247.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

890×	`times-frac_binary64`
557×	`distribute-rgt-in_binary64`
552×	`distribute-lft-in_binary64`
280×	`fma-def_binary64`
181×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	3466
1	1139	3229
2	3836	2932

Stop Event

1×	node limit

Counts

111 → 131

Calls

Call 1

Inputs
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1029667143/1000000000
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1421413741/1000000000
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1421413741/1000000000
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(cbrt.f64 1029667143/1000000000)
(+.f64 (.f64 -2193742730720041/30000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1029667143/1000000000) 2)) 1/3) x)) (cbrt.f64 1029667143/1000000000))
(+.f64 (.f64 -2193742730720041/30000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1029667143/1000000000) 2)) 1/3) x)) (+.f64 (cbrt.f64 1029667143/1000000000) (.f64 1/3 (/.f64 (.f64 (-.f64 928853844365085736173/5000000000000000000000 (*.f64 4812507168587022318622319041681/300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1029667143/1000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1029667143/1000000000) 2)))))
(+.f64 (.f64 -2193742730720041/30000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1029667143/1000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 10557402617625867058002024150751393954221028921/27000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1029667143/1000000000) 2))) (+.f64 98171347176541251569707947359/1000000000000000000000000000000 (.f64 -2193742730720041/15000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1029667143/1000000000) 5)) 1/3) (-.f64 928853844365085736173/5000000000000000000000 (.f64 4812507168587022318622319041681/300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1029667143/1000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1029667143/1000000000) 2))) (+.f64 (cbrt.f64 1029667143/1000000000) (.f64 1/3 (/.f64 (.f64 (-.f64 928853844365085736173/5000000000000000000000 (*.f64 4812507168587022318622319041681/300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1029667143/1000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1029667143/1000000000) 2))))))
(cbrt.f64 1421413741/1000000000)
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 1421413741/1000000000))
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 (-.f64 251455745600000/10731592879921 (.f64 703883604524736243/107315928799210000 (pow.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1421413741/1000000000) 2) (pow.f64 x 2)))) (cbrt.f64 1421413741/1000000000)))
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(cbrt.f64 1421413741/1000000000)
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 1421413741/1000000000))
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 (-.f64 251455745600000/10731592879921 (.f64 703883604524736243/107315928799210000 (pow.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 1421413741/1000000000) 2) (pow.f64 x 2)))) (cbrt.f64 1421413741/1000000000)))
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 (-.f64 251455745600000/10731592879921 (.f64 703883604524736243/107315928799210000 (pow.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000)) 1/3))) (.f64 (pow.f64 (cbrt.f64 1421413741/1000000000) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 3575962885000000000000/35155743162854883031 (+.f64 (.f64 484384009/163795550 (.f64 (-.f64 251455745600000/10731592879921 (.f64 703883604524736243/107315928799210000 (pow.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 5)) 1/3))) (.f64 113649987409687427017312729/35155743162854883031000000 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 1421413741/1000000000) 2) (pow.f64 x 3)))) (cbrt.f64 1421413741/1000000000))))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 248281917/100000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) 31853699/125000000) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.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 (+.f64 (/.f64 248281917/100000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) 31853699/125000000) (+.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) 2)))))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (+.f64 31853699/125000000 (-.f64 (/.f64 248281917/100000000 (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) 2))))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 (/.f64 248281917/100000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1))) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)))) (pow.f64 (exp.f64 x) x)) (fma.f64 x 3275911/10000000 1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (-.f64 (.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) (.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) x)) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) 1) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 (.f64 248281917/100000000 (/.f64 1 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 2))) 31853699/125000000) (+.f64 (.f64 8890523/31250000 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))) (.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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(cbrt.f64 1421413741/1000000000)
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(fma.f64 -484384009/327591100 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2))) x) (+.f64 (cbrt.f64 1421413741/1000000000) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) (+.f64 (/.f64 (+.f64 251455745600000/10731592879921 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000))) -703883604524736243/107315928799210000)) (.f64 x x)) (/.f64 (+.f64 (fma.f64 (+.f64 2436022842796242208000/35155743162854883031 (.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000))) -703883604524736243/107315928799210000) 484384009/163795550)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 5))) (/.f64 113649987409687427017312729/35155743162854883031000000 (pow.f64 (cbrt.f64 1421413741/1000000000) 2))) -3575962885000000000000/35155743162854883031) (pow.f64 x 3))))))
(cbrt.f64 1421413741/1000000000)
(+.f64 (.f64 -484384009/327591100 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 1421413741/1000000000))
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(fma.f64 -484384009/327591100 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 2))) x) (fma.f64 1/3 (/.f64 (+.f64 251455745600000/10731592879921 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000))) -703883604524736243/107315928799210000)) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 1421413741/1000000000) 2))) (fma.f64 -1/3 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 -484384009/163795550 (.f64 (+.f64 251455745600000/10731592879921 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1421413741/1000000000))) -703883604524736243/107315928799210000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1421413741/1000000000) 5)))) 3575962885000000000000/35155743162854883031) (cbrt.f64 1421413741/1000000000)) -6685293377040436883371337000/2939462141573454795835948763) (cbrt.f64 1421413741/1000000000)) (pow.f64 x 3)) (cbrt.f64 1421413741/1000000000))))

eval1.1s (6.9%)

Compiler: Compiled 46622 to 36479 computations (21.8% saved)

prune123.0ms (0.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	780	5	785
Fresh	2	11	13
Picked	0	1	1
Done	5	2	7
Total	787	19	806

Error

0.0b

Counts

806 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	30.4b	1
	14.5b	(cbrt.f64 (pow.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)))) 3))
	28.5b	1/1000000000
	30.8b	(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
	15.2b	(log.f64 (exp.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))))))
	34.1b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
✓	14.5b	(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
▶	14.4b	(-.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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	15.2b	(+.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))))) -1)
▶	29.5b	(exp.f64 (log.f64 1/1000000000))
	16.4b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.5b	(+.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)
	30.8b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
	29.2b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
✓	30.2b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
▶	61.4b	(*.f64 564193179035109/500000000000000 x)
	30.6b	(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
▶	30.7b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))

Compiler

Compiled 908 to 753 computations (17.1% saved)

localize124.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.5b	(fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓	14.1b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 372 to 285 computations (23.4% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`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	28	96
1	649	80

Stop Event

1×	node limit

Counts

2 → 47

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

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

Outputs

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

534×	`distribute-rgt-in_binary64`
423×	`fma-neg_binary64`
402×	`times-frac_binary64`
394×	`unswap-sqr_binary64`
369×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1314
1	420	1238
2	1183	1012
3	5445	932

Stop Event

1×	node limit

Counts

71 → 81

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 -928853844365085736173/5000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (.f64 98171347176541251569707947359/1000000000000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3)) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 -928853844365085736173/5000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.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 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 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 3)))) (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 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 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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (+.f64 (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))) (.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 3))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))

Outputs
(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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 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 1029667143/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))))
(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 2193742730720041/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (.f64 (-.f64 (+.f64 31853699/125000000 (.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) x))) (/.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 1029667143/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
(-.f64 (fma.f64 2193742730720041/10000000000000000 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) x) 1) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 2))) (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (fma.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 x 3275911/10000000 1)) (+.f64 -31853699/125000000 (/.f64 -1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)))))))
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(-.f64 1 (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 31853699/125000000 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x)))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 (/.f64 -251455745600000/10731592879921 x) x))))
(+.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 1453152027/327591100 (/.f64 -251455745600000/10731592879921 x))) (-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (+.f64 (.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))) (.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 3))))))) (/.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (fma.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (/.f64 (.f64 -251455745600000/10731592879921 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (/.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 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1453152027/327591100 (exp.f64 (.f64 x x))) (.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (/.f64 (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (.f64 x x))) (/.f64 (/.f64 3575962885000000000000/35155743162854883031 (exp.f64 (.f64 x x))) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 31853699/125000000 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))
(-.f64 (+.f64 (/.f64 (/.f64 1453152027/327591100 (pow.f64 (exp.f64 x) x)) (.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 3))) (+.f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (/.f64 (/.f64 -251455745600000/10731592879921 x) x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))) (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (+.f64 (/.f64 1453152027/327591100 x) (/.f64 (/.f64 -251455745600000/10731592879921 x) x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))) (-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000))
(+.f64 (.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (.f64 (.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 x -2193742730720041/10000000000000000 (.f64 x (.f64 x 928853844365085736173/5000000000000000000000))) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (.f64 x (+.f64 -2193742730720041/10000000000000000 (.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 1421413741/1000000000 (.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(exp.f64 (log.f64 1/1000000000))

Compiler

Compiled 7 to 7 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`fma-def_binary64`
380×	`log-pow_binary64`
363×	`expm1-udef_binary64`
362×	`log1p-udef_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	65	1
2	600	1
3	5901	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 (log.f64 1/1000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000)))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
	0.2b	(*.f64 564193179035109/500000000000000 x)
✓	0.2b	(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
✓	18.5b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))

Compiler

Compiled 70 to 57 computations (18.6% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (/.f64 1 (neg.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 2)) (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (cbrt.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) (cbrt.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (*.f64 x 564193179035109/500000000000000) (sqrt.f64 (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (hypot.f64 (*.f64 x 564193179035109/500000000000000) (sqrt.f64 (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) 2) (hypot.f64 (*.f64 x 564193179035109/500000000000000) (sqrt.f64 (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 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(*.f64 x x))) (pow.f64 (*.f64 x 564193179035109/500000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (-.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 4) (pow.f64 (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000) 2))) (+.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) -1/1000000000000000000) (*.f64 x 564193179035109/500000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)) (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (neg.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 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-564193179035109/500000000000000000000000 1/1000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) 3) (pow.f64 (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x -564193179035109/500000000000000000000000 1/1000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 1/1000000000000000000000000000) (fma.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x) (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 564193179035109/500000000000000 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 564193179035109/500000000000000 (*.f64 x (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 564193179035109/500000000000000) (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) 2) (cbrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 4)) (pow.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 564193179035109/500000000000000)) (*.f64 (sqrt.f64 (*.f64 x 564193179035109/500000000000000)) (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3/2)) (sqrt.f64 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) x) 564193179035109/500000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) 564193179035109/500000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) (pow.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) 2)) (cbrt.f64 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 564193179035109/500000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 564193179035109/500000000000000))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 564193179035109/500000000000000) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5792292462331622385169623728141597732888935767329199894293706422250529260387793746001807156828250402271854027244093352725998178424389/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 32252767655169998382229115332373005583228171272495442159214788240216832343316463406400841/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 5792292462331622385169623728141597732888935767329199894293706422250529260387793746001807156828250402271854027244093352725998178424389/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) 1))))))

simplify182.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

951×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
495×	`associate-/l/_binary64`
489×	`cube-prod_binary64`
461×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	240
1	63	222
2	107	222
3	191	222
4	471	222
5	1745	222
6	3601	222
7	3770	222
8	4024	222
9	4316	222
10	4700	222
11	5235	222
12	5891	222
13	6608	222
14	7082	222
15	7399	222
16	7669	222
17	7837	222
18	7931	222

Stop Event

1×	node limit

Counts

117 → 93

Calls

Call 1

Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 147899856724979613696/131072000000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(-.f64 (+.f64 262144/262144000000000 (.f64 147899856724979613696/131072000000000000000 x)) (.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 262144/262144000000000 (+.f64 (.f64 147899856724979613696/131072000000000000000 x) (.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(*.f64 147899856724979613696/131072000000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(-.f64 (+.f64 262144/262144000000000 (.f64 147899856724979613696/131072000000000000000 x)) (.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 262144/262144000000000 (+.f64 (.f64 147899856724979613696/131072000000000000000 x) (.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))

Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 147899856724979613696/131072000000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (.f64 147899856724979613696/131072000000000000000 x)) (.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (+.f64 (.f64 147899856724979613696/131072000000000000000 x) (.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 147899856724979613696/131072000000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (.f64 147899856724979613696/131072000000000000000 x)) (.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (+.f64 (.f64 147899856724979613696/131072000000000000000 x) (.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(.f64 x (.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)

localize129.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
	0.8b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
	14.1b	(+.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))))
✓	14.9b	(+.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))))) -1)

Compiler

Compiled 337 to 270 computations (19.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.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))))) -1)

1.0ms

inf

(+.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))))) -1)

1.0ms

-inf

(+.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))))) -1)

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`add-sqr-sqrt_binary64`
296×	`pow1_binary64`
295×	`*-un-lft-identity_binary64`
295×	`add-log-exp_binary64`
294×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	62
1	617	62

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs

(+.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))))) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 2 (/.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 2 (/.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 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 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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 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (/.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)) 2) (cbrt.f64 (+.f64 (+.f64 2 (/.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 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(*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (/.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 1 (+.f64 (+.f64 2 (/.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 (sqrt.f64 (+.f64 2 (/.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 2 (/.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 (pow.f64 (+.f64 2 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 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simplify67.0ms (0.4%)

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)))
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(+.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))))

eval770.0ms (4.6%)

Compiler: Compiled 21430 to 16749 computations (21.8% saved)

prune142.0ms (0.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	426	6	432
Fresh	3	8	11
Picked	0	1	1
Done	3	4	7
Total	432	19	451

Error

0.0b

Counts

451 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	30.4b	1
	14.5b	(cbrt.f64 (pow.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)))) 3))
	28.5b	1/1000000000
	30.8b	(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
	34.8b	(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
✓	15.2b	(+.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))))) -1)
	30.7b	(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
✓	29.5b	(exp.f64 (log.f64 1/1000000000))
	16.4b	(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
	14.5b	(+.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)
	61.5b	(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
	29.2b	(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
	30.8b	(+.f64 1/1000000000 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
	15.2b	(log.f64 (exp.f64 (+.f64 (+.f64 2 (/.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)))
✓	30.2b	(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
✓	61.4b	(*.f64 564193179035109/500000000000000 x)
	30.6b	(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
	15.2b	(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)

Compiler

Compiled 471 to 393 computations (16.6% saved)

regimes459.0ms (2.7%)

Counts

45 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.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 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 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 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 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(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 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.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)))))
(log.f64 (exp.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))))))
(log.f64 (exp.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))))))
(cbrt.f64 (pow.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)))) 3))
(+.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (+.f64 1 (/.f64 -1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5))) (+.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))
(cbrt.f64 (pow.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)))) 3))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (/.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)))
(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 (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)
(-.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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (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)))) (cbrt.f64 (pow.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (+.f64 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -8890523/31250000)) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 1) (-.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(.f64 (+.f64 (sqrt.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)))))) 1) (-.f64 (sqrt.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)))))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))

Outputs

(-.f64 1 (*.f64 (*.f64 (/.f64 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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

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

Calls

7 calls:

151.0ms	x
79.0ms	(fabs.f64 x)
76.0ms	(fabs.f64 x)
16.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))
15.0ms	(.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 2019 to 1577 computations (21.9% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.99677348210566	0.9999998736921445

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes452.0ms (2.7%)

Counts

37 → 2

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.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 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 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 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 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(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 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.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)))))
(log.f64 (exp.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))))))
(log.f64 (exp.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))))))
(cbrt.f64 (pow.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)))) 3))
(+.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (+.f64 1 (/.f64 -1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5))) (+.f64 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))
(cbrt.f64 (pow.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)))) 3))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (/.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)))
(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 (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)
(-.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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (.f64 1453152027/1000000000 (/.f64 1 (+.f64 (.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

Outputs

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

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

Calls

7 calls:

114.0ms	x
64.0ms	(fabs.f64 x)
64.0ms	(fabs.f64 x)
53.0ms	(.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)))))
14.0ms	(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))

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 1443 to 1138 computations (21.1% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.99677348210566	0.9999998736921445

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes57.0ms (0.3%)

Counts

23 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.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 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 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 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 -195873299/500000000 (fma.f64 x 3275911/10000000 1)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
(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)

Outputs

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

(+.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))))) -1)

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 496 to 395 computations (20.4% saved)

bsearch229.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
140.0ms	1.110504878131793e-7	0.002859416560612119
87.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes76.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
(+.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 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 (+.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

1 calls:

32.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 361 to 287 computations (20.5% saved)

bsearch192.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	1.110504878131793e-7	0.002859416560612119
64.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes38.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)
(exp.f64 (log1p.f64 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))

Outputs

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 235 to 188 computations (20% saved)

bsearch132.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	0.09687437569888654	0.571042581190123
60.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes33.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.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 (+.f64 (.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 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))))
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.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))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1)

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 165 to 135 computations (18.2% saved)

bsearch115.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.571042581190123	224.2927834902696
56.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes23.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)
(+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))
(/.f64 (+.f64 1/1000000000000000000000000000 (.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (.f64 (.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (.f64 564193179035109/500000000000000000000000 x))))
(exp.f64 (log.f64 1/1000000000))

Outputs

(+.f64 1/1000000000 (*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 61 to 49 computations (19.7% saved)

bsearch117.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	0.571042581190123	224.2927834902696
61.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes18.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(-.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 26 to 21 computations (19.2% saved)

bsearch113.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.571042581190123	224.2927834902696
59.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
1
1
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))

Outputs
1
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch114.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.571042581190123	224.2927834902696
54.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes14.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

Outputs
1
1/1000000000
1

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.0b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch149.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	1.110504878131793e-7	0.002859416560612119
61.0ms	-484.483050810706	-2.95809535884691e-11

Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
30.4b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

50×	`+-commutative_binary64`
37×	`*-commutative_binary64`
25×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	735
1	187	735
2	228	735
3	263	735
4	294	735
5	317	735
6	337	735
7	345	735
8	349	735
9	350	735

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.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))))) 18409850585562132480/18446744073709551616) (-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))
(if (<=.f64 (.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))))) 18409850585562132480/18446744073709551616) (+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.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))))) -1)))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 -4261557982614095/8796093022208) 1 (if (<=.f64 x 1787016815817747968/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) 1/1000000000 1))
1

Outputs
(if (<=.f64 (.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))))) 18409850585562132480/18446744073709551616) (-.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))
(if (<=.f64 (.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 x x)))) 4494592428115755/4503599627370496) (-.f64 1 (.f64 (exp.f64 (neg.f64 (.f64 x x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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 (.f64 x (neg.f64 x)))) 4494592428115755/4503599627370496) (-.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3)))))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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 (.f64 x (neg.f64 x)))) 4494592428115755/4503599627370496) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.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)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3))))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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 (.f64 x (neg.f64 x)))) 4494592428115755/4503599627370496) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (.f64 (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3))) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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 (.f64 x (neg.f64 x)))) 4494592428115755/4503599627370496) (+.f64 1 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 8890523/31250000 (.f64 (pow.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 3) (/.f64 -1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x))))))))))) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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))))) 18409850585562132480/18446744073709551616) (+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))))
(if (<=.f64 (.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 x x)))) 4494592428115755/4503599627370496) (+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 (.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 (.f64 x (neg.f64 x)))) 4494592428115755/4503599627370496) (+.f64 (+.f64 1 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (fma.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1421413741/1000000000) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) -1) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.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))))) -1)))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 -1 (+.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))))))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 -1 (+.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))))))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (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 -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.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 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) (+.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 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 1787016815817747968/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 564193179035109/500000000000000 x) 2))) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) 1)))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 3490267218394039/36028797018963968) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))) -1)))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 3490267218394039/36028797018963968) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (.f64 x 564193179035109/500000000000000) 2))) (+.f64 -1 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 642936788965131/1125899906842624) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 642936788965131/1125899906842624) (+.f64 1/1000000000 (.f64 x (+.f64 564193179035109/500000000000000 (.f64 x (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))))) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 642936788965131/1125899906842624) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 10533876350404706304/18446744073709551616) (+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 642936788965131/1125899906842624) (+.f64 1/1000000000 (*.f64 x 9090120849982139/10000000000000000)) 1))
(if (<=.f64 x -4261557982614095/8796093022208) 1 (if (<=.f64 x 8390737624884511/75557863725914323419136) 1/1000000000 1))
1

Compiler

Compiled 507 to 419 computations (17.4% saved)

soundness144.0ms (0.9%)

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

Compiler

Compiled 1983 to 1593 computations (19.7% saved)

end325.0ms (1.9%)

Compiler: Compiled 497 to 399 computations (19.7% saved)

Iter	Nodes	Cost
0	124	735
1	187	735
2	228	735
3	263	735
4	294	735
5	317	735
6	337	735
7	345	735
8	349	735
9	350	735

Iter	Nodes	Cost
0	124	735
1	187	735
2	228	735
3	263	735
4	294	735
5	317	735
6	337	735
7	345	735
8	349	735
9	350	735

Iter	Nodes	Cost
0	124	735
1	187	735
2	228	735
3	263	735
4	294	735
5	317	735
6	337	735
7	345	735
8	349	735
9	350	735