Details

analyze56.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	0%	0%	25%	4
80%	50%	12.5%	0%	0%	0%	37.5%	5
88.9%	50%	6.2%	0%	0%	0%	43.7%	6
94.1%	50%	3.1%	0%	0%	0%	46.9%	7
97%	50%	1.6%	0%	0%	0%	48.4%	8
97%	50%	1.6%	0%	0%	0%	48.4%	9
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	10
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	11
97.9%	50.4%	1.1%	0%	0%	0%	48.5%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.7s (51.1%)

Results

2.5s	4033×	body	1024	valid
615.0ms	2044×	body	512	valid
311.0ms	1783×	body	256	valid
237.0ms	396×	body	2048	valid
2.0ms	8×	body	256	unsamplable

Bogosity

preprocess86.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	7.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series8.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite185.0ms (2.6%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

99×	`add-sqr-sqrt_binary64`
99×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
95×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	186	18
2	3652	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	8	3
1	186	3
2	3652	3
0	8	3
0	6	6
1	129	6
2	2150	6
0	6	6

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 37

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (sinh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (*.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x tanh.f64 x)))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (cosh.f64 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x tanh.f64 x)))))

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

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
528×	`fma-neg_binary64`
514×	`unswap-sqr_binary64`
469×	`associate-l_binary64`
380×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	447
1	150	441
2	350	437
3	995	437
4	3266	437
5	5399	437
6	7520	437

Stop Event

1×	node limit

Counts

69 → 67

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/3 (.f64 x x) 2) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (+.f64 x x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval17.0ms (0.2%)

Compiler: Compiled 968 to 399 computations (58.8% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	6	68

Error

Counts

68 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.8b	(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	57.6b	(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
▶	1.6b	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶	1.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
▶	0.0b	(tanh.f64 x)
	2.5b	x

Compiler

Compiled 134 to 103 computations (23.1% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(tanh.f64 x)
1.0ms	x	@	inf	(tanh.f64 x)
1.0ms	x	@	0	(tanh.f64 x)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`pow1_binary64`
459×	`add-sqr-sqrt_binary64`
450×	`*-un-lft-identity_binary64`
437×	`add-log-exp_binary64`
435×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	75	3
2	1079	3

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(tanh.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tanh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (exp.f64 (.f64 x -2))) (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tanh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 x)))))))

Outputs

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

871×	`div-sub_binary64`
830×	`fma-def_binary64`
624×	`unswap-sqr_binary64`
590×	`fma-neg_binary64`
303×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	222
1	65	222
2	140	222
3	333	222
4	688	222
5	1579	222
6	2473	222
7	3981	222
8	6252	222

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 1 (*.f64 2 (cosh.f64 x)))
✓	1.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
2.0ms	x	@	inf	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(/.f64 1 (*.f64 2 (cosh.f64 x)))
1.0ms	x	@	-inf	(/.f64 1 (*.f64 2 (cosh.f64 x)))
1.0ms	x	@	0	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

rewrite90.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
904×	`add-log-exp_binary64`
903×	`log1p-expm1-u_binary64`
903×	`expm1-log1p-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	211	20
2	2628	20

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 1 (*.f64 2 (cosh.f64 x)))
(cosh.f64 x)
(sinh.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 2 (cosh.f64 x)) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 x) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (.f64 2 (cosh.f64 x)) (cbrt.f64 (.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 x)) (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 x)) 1) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 2 (sinh.f64 x))) (.f64 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 2 (sinh.f64 x))) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) (pow.f64 (.f64 2 (sinh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 (cosh.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cosh.f64 x) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))) -1) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) -1) (pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (cosh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cosh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cosh.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cosh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cosh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cosh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cosh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cosh.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sinh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x)))))))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
643×	`associate-l_binary64`
508×	`associate-r_binary64`
508×	`unswap-sqr_binary64`
491×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	684
1	168	680
2	415	658
3	1246	656
4	4451	656
5	6990	656

Stop Event

1×	node limit

Counts

145 → 132

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 5/48 (pow.f64 x 4))))
(+.f64 (.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/4) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 5/48 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 5/48 (pow.f64 x 4))))
(fma.f64 x (*.f64 x -1/4) (fma.f64 5/48 (pow.f64 x 4) 1/2))
(+.f64 (.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))))
(fma.f64 -61/1440 (pow.f64 x 6) (+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 5/48 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 5/48 (pow.f64 x 4))) (fma.f64 -61/1440 (pow.f64 x 6) 1/2))
(fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 5/48 (pow.f64 x 4) 1/2)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 5/48 (pow.f64 x 4) 1/2)))
(fma.f64 5/48 (pow.f64 x 4) (fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 -1/4 (*.f64 x x) 1/2)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (pow.f64 x 4) 1/24))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/24 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/720))))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) 1/720)))
(+.f64 1 (fma.f64 x (.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) 1/720))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 1/2) (fma.f64 (pow.f64 x 6) 1/720 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) 1/2) (fma.f64 (pow.f64 x 6) 1/720 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 (pow.f64 x 7) 1/5040 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓	0.0b	(*.f64 -17/315 (pow.f64 x 7))
✓	0.1b	(*.f64 2/15 (pow.f64 x 5))
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 71 to 55 computations (22.5% saved)

series8.0ms (0.1%)

Counts

4 → 9

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 2/15 (pow.f64 x 5))
1.0ms	x	@	0	(*.f64 -17/315 (pow.f64 x 7))
1.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))

rewrite96.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`fma-def_binary64`
505×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
193×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	399	43
2	5138	43

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/15 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 10) 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -17/315 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -17/315 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -17/315 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -17/315) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -4913/31255875 (pow.f64 (pow.f64 x 7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 289/99225 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -4913/31255875 (pow.f64 (pow.f64 x 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 -17/315 (pow.f64 x 7))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 289/99225 (pow.f64 x 14)) (-.f64 (.f64 -17/315 (pow.f64 x 7)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) (-.f64 (.f64 -17/315 (pow.f64 x 7)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) (pow.f64 (cbrt.f64 (fma.f64 -17/315 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5) x) (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (.f64 (pow.f64 x 7/2) -17/315) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7))) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7)))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7))))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7)))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))) (+.f64 x (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 -17/315 (pow.f64 x 7)))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))) (+.f64 x (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -17/315 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -17/315 (pow.f64 x 7/2)) (pow.f64 x 7/2) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 x) (.f64 x x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 (.f64 x x)) x (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -17/315 (pow.f64 x 7))))))))

simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1083×	`sqr-pow_binary64`
674×	`cube-prod_binary64`
624×	`unswap-sqr_binary64`
620×	`fabs-mul_binary64`
378×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
1	54	108
2	109	108
3	256	108
4	474	108
5	1175	108
6	1769	108
7	2728	108
8	2882	108
9	3129	108
10	3444	108
11	3925	108
12	4604	108
13	5498	108
14	6142	108
15	6651	108
16	7050	108
17	7429	108
18	7645	108

Stop Event

1×	node limit

Counts

137 → 138

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.3b	(/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x)))
✓	0.7b	(/.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)))
✓	7.3b	(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
2.0ms	x	@	inf	(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
1.0ms	x	@	0	(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
0.0ms	x	@	0	(/.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x)))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
474×	`fma-def_binary64`
294×	`fma-neg_binary64`
247×	`pow2_binary64`
217×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	249	36
2	4193	25

Stop Event

1×	node limit

Counts

3 → 279

Calls

Call 1

Inputs
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (/.f64 (neg.f64 (*.f64 (exp.f64 x) 1/2)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 x) 1/2)) (cosh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 x) (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 1/2 (cosh.f64 x))) (exp.f64 x) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 x) (fma.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 x) 1/2)) (cosh.f64 x)) 1 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))) 2) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 x) 1/2)) (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) -2) (exp.f64 x))) (/.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3)) (/.f64 1 (pow.f64 (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (tanh.f64 x)) (/.f64 1 (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))) (-.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))) (sqrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4) (fma.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) -2) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))) 2) (-.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (*.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) -2) (exp.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3)) (pow.f64 (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (hypot.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (tanh.f64 x)) (*.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 x) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 x) (*.f64 2 (cosh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) -2) (exp.f64 x)))) (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) (*.f64 (cosh.f64 x) 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(cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (cosh.f64 x) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (/.f64 (cosh.f64 x) (exp.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (/.f64 1/2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 (/.f64 1/2 (cosh.f64 x)))) 1))))))

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
621×	`times-frac_binary64`
614×	`associate-l_binary64`
493×	`fma-neg_binary64`
434×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	650
1	134	648
2	307	648
3	800	648
4	1515	568
5	3251	568
6	4344	568
7	7335	568

Stop Event

1×	node limit

Counts

315 → 262

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
1/2
(+.f64 (*.f64 1/2 x) 1/2)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 1/15 (pow.f64 x 5)) 1/2)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
1/2
(+.f64 (*.f64 1/2 x) 1/2)
(fma.f64 1/2 x 1/2)
(fma.f64 x 1/2 1/2)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) 1/2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 x 1/2))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x 1/2 1/2))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) -1/6 1/2))
(fma.f64 x (fma.f64 x (*.f64 x -1/6) 1/2) 1/2)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 1/15 (pow.f64 x 5)) 1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/15 (pow.f64 x 5) 1/2)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/15 1/2)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/15 1/2)))
(fma.f64 x (fma.f64 x (*.f64 x -1/6) 1/2) (fma.f64 (pow.f64 x 5) 1/15 1/2))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(fma.f64 -1/2 x 1/2)
(fma.f64 x -1/2 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(fma.f64 -1/2 x (fma.f64 1/6 (pow.f64 x 3) 1/2))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) 1/6 1/2))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 x -1/2 1/2))
(fma.f64 x (fma.f64 x (*.f64 x 1/6) -1/2) 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(fma.f64 -1/2 x (+.f64 (fma.f64 1/6 (pow.f64 x 3) 1/2) (*.f64 (pow.f64 x 5) -1/15)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) -1/15 1/2)))
(fma.f64 x (fma.f64 x (*.f64 x 1/6) -1/2) (fma.f64 (pow.f64 x 5) -1/15 1/2))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2)))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.9b	(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	7.5b	(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 46 to 21 computations (54.3% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	x	@	-inf	(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	inf	(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	0	(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))

rewrite112.0ms (1.6%)

Algorithm

1×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
514×	`add-sqr-sqrt_binary64`
490×	`add-log-exp_binary64`
490×	`log1p-expm1-u_binary64`
490×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	238	12
2	3938	12
0	7	6
1	125	6
2	1384	6
0	12	14
1	238	14
2	3938	14
0	12	14

Stop Event

1×	iter limit
1×	unsound
1×	node limit
1×	unsound

Counts

2 → 40

Calls

Call 1

Inputs
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 x) (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 x)) (*.f64 (sqrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))))

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-neg_binary64`
575×	`fma-def_binary64`
540×	`associate-l_binary64`
489×	`associate-/l/_binary64`
377×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	360
1	113	360
2	247	360
3	646	360
4	1289	360
5	2936	360
6	4087	360
7	7146	360

Stop Event

1×	node limit

Counts

64 → 59

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 2 x)))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (+.f64 x x))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval349.0ms (4.9%)

Compiler: Compiled 14405 to 8685 computations (39.7% saved)

prune116.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	739	4	743
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	744	5	749

Error

Counts

749 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	1.1b	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
▶	56.6b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
✓	0.0b	(tanh.f64 x)
	2.5b	x

Compiler

Compiled 28 to 21 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
✓	0.2b	(+.f64 1 (tanh.f64 x))
✓	7.3b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 1 (tanh.f64 x))
0.0ms	x	@	-inf	(+.f64 1 (tanh.f64 x))
0.0ms	x	@	0	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (tanh.f64 x)) 1)

rewrite92.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
798×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	151	9
2	2298	9

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(+.f64 1 (tanh.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (tanh.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (tanh.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tanh.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (tanh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tanh.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (/.f64 1 (+.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tanh.f64 x) 2) (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 2))) (expm1.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (tanh.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (+.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (-.f64 (+.f64 1 (tanh.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x))) (neg.f64 (+.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) (neg.f64 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (tanh.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (tanh.f64 x) -1) (+.f64 (tanh.f64 x) -1)) (+.f64 (tanh.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (tanh.f64 x) -1) (+.f64 (tanh.f64 x) -1))) (-.f64 1 (+.f64 (tanh.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tanh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (tanh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 2) (cbrt.f64 (+.f64 1 (tanh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) (sqrt.f64 (+.f64 1 (tanh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x tanh.f64 x)))))

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

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
674×	`times-frac_binary64`
624×	`unswap-sqr_binary64`
512×	`fma-neg_binary64`
451×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	560
1	92	456
2	206	456
3	507	456
4	906	456
5	1898	456
6	3153	456
7	5188	456

Stop Event

1×	node limit

Counts

108 → 102

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) (+.f64 x 1))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) 1)))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 x))))
(+.f64 1 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
	0.0b	(cosh.f64 x)
✓	0.1b	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
✓	1.0b	(/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x))
1.0ms	x	@	inf	(/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x))
1.0ms	x	@	0	(/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x))
0.0ms	x	@	inf	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
0.0ms	x	@	-inf	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`pow1_binary64`
910×	`add-log-exp_binary64`
909×	`log1p-expm1-u_binary64`
909×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	181	19
2	2516	19

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 2 (/.f64 1 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cosh.f64 x)) (/.f64 1 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 2) (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cosh.f64 x) -2) (/.f64 1 (neg.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) 1) (/.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sinh.f64 x)) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 2 (cbrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 (*.f64 2 (cosh.f64 x)) (cbrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (sinh.f64 x))) (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sinh.f64 x))) (/.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (sinh.f64 x))) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (sinh.f64 x) (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (cosh.f64 x)) (neg.f64 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) (pow.f64 (sinh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 x) (sinh.f64 x)))))))))

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
826×	`times-frac_binary64`
624×	`unswap-sqr_binary64`
446×	`associate-l_binary64`
427×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	473
1	106	471
2	245	463
3	602	463
4	1133	463
5	2401	463
6	3567	463
7	5665	463

Stop Event

1×	node limit

Counts

103 → 97

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4/945 (pow.f64 x 5)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))
(fma.f64 2/3 x (/.f64 2 x))
(fma.f64 x 2/3 (/.f64 2 x))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x 2/3 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x (fma.f64 -2/45 (*.f64 x x) 2/3) (/.f64 2 x))
(fma.f64 x (fma.f64 x (*.f64 x -2/45) 2/3) (/.f64 2 x))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4/945 (pow.f64 x 5)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (*.f64 4/945 (pow.f64 x 5))))
(fma.f64 x 2/3 (fma.f64 -2/45 (pow.f64 x 3) (fma.f64 4/945 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x (fma.f64 -2/45 (*.f64 x x) 2/3) (fma.f64 4/945 (pow.f64 x 5) (/.f64 2 x)))
(fma.f64 4/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x -2/45) 2/3) (/.f64 2 x)))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 2 (exp.f64 x) (/.f64 2 (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
	0.0b	(cosh.f64 x)
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	inf	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	-inf	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
581×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	8
2	1519	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (sinh.f64 x) (cosh.f64 x))

Outputs

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

871×	`div-sub_binary64`
830×	`fma-def_binary64`
624×	`unswap-sqr_binary64`
590×	`fma-neg_binary64`
303×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	222
1	65	222
2	140	222
3	333	222
4	688	222
5	1579	222
6	2473	222
7	3981	222
8	6252	222

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval137.0ms (1.9%)

Compiler: Compiled 4817 to 2854 computations (40.8% saved)

prune85.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	395	4	399
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	396	8	404

Error

Counts

404 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.1b	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
▶	1.8b	(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
▶	2.0b	(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
▶	59.0b	(-.f64 (+.f64 x 1) 1)
✓	56.6b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
✓	0.0b	(tanh.f64 x)
	2.5b	x

Compiler

Compiled 64 to 51 computations (20.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.3b	(-.f64 (+.f64 x 1) 1)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 x 1) 1)
0.0ms	x	@	0	(-.f64 (+.f64 x 1) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 x 1) 1)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`pow1_binary64`
502×	`add-log-exp_binary64`
502×	`log1p-expm1-u_binary64`
502×	`expm1-log1p-u_binary64`
494×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	116	1
2	1623	1

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (+.f64 x 1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

53 → 42

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))
✓	0.1b	(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
✓	0.3b	(*.f64 2/3 x)

Compiler

Compiled 36 to 28 computations (22.2% saved)

series4.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2/3 x)
1.0ms	x	@	inf	(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(*.f64 2/3 x)
0.0ms	x	@	inf	(*.f64 2/3 x)

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
362×	`exp-prod_binary64`
314×	`prod-exp_binary64`
288×	`fma-def_binary64`
270×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	221	23
2	2810	23

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(*.f64 2/3 x)
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/9 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2/3 x)))) (sqrt.f64 (log.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 x)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 2) (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2/3 x (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3)))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (-.f64 (*.f64 2/3 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2/3 x (/.f64 2 x)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 2/3 x (/.f64 2 x)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2/3 x (/.f64 2 x)) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (/.f64 2 x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/9 (*.f64 x x)) (-.f64 (*.f64 2/3 x) (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 2/3 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 x (/.f64 2 x))) (sqrt.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/3 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))) (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 2/3 x) (/.f64 2 x)) (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 (*.f64 (*.f64 2/3 x) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (-.f64 (*.f64 2/3 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 2/3 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 4/9 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 x (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 x (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))) (fma.f64 8 (pow.f64 x -3) (*.f64 8/27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 2/3 x) (/.f64 2 x)) (-.f64 (*.f64 4/9 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 x))) (exp.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/3 x)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 x (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/3 x (/.f64 2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/3 x (/.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/3 x (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/3 x (/.f64 2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 x) 1 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 x) 1 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (*.f64 x x))) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (cbrt.f64 (/.f64 2 x)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/3 x)) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 (*.f64 2/3 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (*.f64 2/3 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))))))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-neg_binary64`
667×	`associate-/l*_binary64`
524×	`fma-def_binary64`
468×	`cancel-sign-sub-inv_binary64`
432×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	198
1	101	198
2	251	198
3	624	198
4	1529	198
5	4273	198

Stop Event

1×	node limit

Counts

144 → 146

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/27 (pow.f64 x 7)) (+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(/.f64 2 x)
(*.f64 2/3 x)
(*.f64 2/3 x)

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 1/9 (pow.f64 x 5) x))
(+.f64 (.f64 -1/27 (pow.f64 x 7)) (+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(fma.f64 -1/27 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/27 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/27 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 1/9 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/27 (pow.f64 x 7) x)))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (/.f64 9 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (/.f64 -9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 9 (pow.f64 x 3)) (/.f64 81 (pow.f64 x 7)))))
(+.f64 (/.f64 3 x) (+.f64 (-.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 81 (pow.f64 x 7))) (/.f64 -9 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 -9 (pow.f64 x 3)) (/.f64 -81 (pow.f64 x 7)))))
(-.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 9 (pow.f64 x 3)) (+.f64 (/.f64 81 (pow.f64 x 7)) (/.f64 -3 x))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (/.f64 9 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (/.f64 -9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 9 (pow.f64 x 3)) (/.f64 81 (pow.f64 x 7)))))
(+.f64 (/.f64 3 x) (+.f64 (-.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 81 (pow.f64 x 7))) (/.f64 -9 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 -9 (pow.f64 x 3)) (/.f64 -81 (pow.f64 x 7)))))
(-.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 9 (pow.f64 x 3)) (+.f64 (/.f64 81 (pow.f64 x 7)) (/.f64 -3 x))))
(/.f64 2 x)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
✓	0.1b	(*.f64 -2/45 (pow.f64 x 3))
✓	0.1b	(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
	0.3b	(*.f64 2/3 x)

Compiler

Compiled 69 to 55 computations (20.3% saved)

series4.0ms (0.1%)

Counts

3 → 18

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
1.0ms	x	@	0	(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
0.0ms	x	@	inf	(*.f64 -2/45 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -2/45 (pow.f64 x 3))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
630×	`fma-def_binary64`
336×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	342	40
2	4353	40

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(*.f64 -2/45 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) (cbrt.f64 (/.f64 4 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2))) (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) 8/27 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 3))) (fma.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (*.f64 4/9 (*.f64 x x)) (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2))) (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/45 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/2025 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/45 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2/45 (pow.f64 x 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/9 (*.f64 x x)) (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) (/.f64 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2) (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2)) (cbrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) (sqrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 8/27 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4/9 (*.f64 x x)) (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))) (fma.f64 (pow.f64 x 3) 8/27 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) (-.f64 (*.f64 4/9 (*.f64 x x)) (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8/27 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 3)) (fma.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) (*.f64 2/3 x)) (*.f64 4/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8/27 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 3)) (+.f64 (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2) (-.f64 (*.f64 4/9 (*.f64 x x)) (*.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4/9 (*.f64 x x)) (pow.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)) 2)) (-.f64 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))) (#(struct:change #<rule 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x)) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)) (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x))) (*.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 x (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 x))) (exp.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/3) x) (+.f64 1 (expm1.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 x))) (+.f64 1 (expm1.f64 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (*.f64 (pow.f64 (exp.f64 2/3) x) (pow.f64 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(2) ((x fma.f64 x 2/3 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -2/45) (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 x) 1 (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/45 (pow.f64 x 3) (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2/45 (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/45 (pow.f64 x 3)) 1 (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/45 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 2/3 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x))) (sqrt.f64 (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -2/45 (pow.f64 x 3) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 -2/45 (pow.f64 x 3) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/45 x) (*.f64 x x) (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/45 (*.f64 x x)) x (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/45 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (/.f64 2 x) (*.f64 2/3 x)))))))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
510×	`associate-/r*_binary64`
422×	`fma-def_binary64`
412×	`associate-l_binary64`
367×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	270
1	141	258
2	389	258
3	1124	258
4	2791	258
5	7415	258

Stop Event

1×	node limit

Counts

151 → 154

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -7/135 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 212625 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 212625 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 2 x)
(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))
(*.f64 -2/45 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 -2/45 (pow.f64 x 3)))
(*.f64 -2/45 (pow.f64 x 3))
(+.f64 (.f64 2/3 x) (.f64 -2/45 (pow.f64 x 3)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -7/135 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -7/135 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -7/135 (pow.f64 x 7) x)))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(-.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3)))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 12150 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 -12150 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -12150 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 212625 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 12150 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 212625 (pow.f64 x 9)))))
(-.f64 (/.f64 -12150 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 212625 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -12150 (pow.f64 x 7)) (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -212625 (pow.f64 x 9)))) (/.f64 -45 (pow.f64 x 3)))
(+.f64 (/.f64 -45 (pow.f64 x 3)) (+.f64 (/.f64 -675 (pow.f64 x 5)) (+.f64 (/.f64 -12150 (pow.f64 x 7)) (/.f64 -212625 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (+.f64 (/.f64 -12150 (pow.f64 x 7)) (/.f64 -212625 (pow.f64 x 9))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(-.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3)))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 12150 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 -12150 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -12150 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 12150 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 212625 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 12150 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 212625 (pow.f64 x 9)))))
(-.f64 (/.f64 -12150 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 212625 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -12150 (pow.f64 x 7)) (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -212625 (pow.f64 x 9)))) (/.f64 -45 (pow.f64 x 3)))
(+.f64 (/.f64 -45 (pow.f64 x 3)) (+.f64 (/.f64 -675 (pow.f64 x 5)) (+.f64 (/.f64 -12150 (pow.f64 x 7)) (/.f64 -212625 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (+.f64 (/.f64 -12150 (pow.f64 x 7)) (/.f64 -212625 (pow.f64 x 9))))
(/.f64 2 x)
(+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x)))
(fma.f64 2/3 x (/.f64 2 x))
(fma.f64 x 2/3 (/.f64 2 x))
(*.f64 -2/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2/45)
(+.f64 (.f64 2/3 x) (.f64 -2/45 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) -2/45))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -2/45))
(.f64 x (fma.f64 x (.f64 x -2/45) 2/3))
(.f64 x (fma.f64 -2/45 (.f64 x x) 2/3))
(*.f64 -2/45 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2/45)
(+.f64 (.f64 2/3 x) (.f64 -2/45 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) -2/45))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -2/45))
(.f64 x (fma.f64 x (.f64 x -2/45) 2/3))
(.f64 x (fma.f64 -2/45 (.f64 x x) 2/3))

eval157.0ms (2.2%)

Compiler: Compiled 6168 to 4895 computations (20.6% saved)

prune53.0ms (0.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	1	0	1
Picked	1	0	1
Done	0	6	6
Total	362	13	375

Error

Counts

375 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
	61.2b	(/.f64 3 x)
	1.8b	(/.f64 2 (fma.f64 (.f64 x x) (.f64 x -2/45) (+.f64 (/.f64 2 x) (*.f64 2/3 x))))
	28.6b	(/.f64 2 (/.f64 (-.f64 (/.f64 4 (.f64 x x)) (.f64 4/9 (.f64 x x))) (-.f64 (/.f64 2 x) (.f64 2/3 x))))
✓	1.1b	(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
✓	2.0b	(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
	28.6b	(/.f64 2 (.f64 (-.f64 (.f64 4/9 (.f64 x x)) (/.f64 4 (.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/3 x) (/.f64 2 x)))))
	61.2b	(/.f64 2 (*.f64 x 2/3))
✓	59.0b	(-.f64 (+.f64 x 1) 1)
✓	56.6b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
	59.0b	(+.f64 1 (+.f64 x -1))
✓	0.0b	(tanh.f64 x)
	2.5b	x

Compiler

Compiled 125 to 93 computations (25.6% saved)

regimes21.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
x
x
x
x
(/.f64 3 x)
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (*.f64 x 2/3))
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
(/.f64 2 (/.f64 (-.f64 (/.f64 4 (.f64 x x)) (.f64 4/9 (.f64 x x))) (-.f64 (/.f64 2 x) (.f64 2/3 x))))
(/.f64 2 (.f64 (-.f64 (.f64 4/9 (.f64 x x)) (/.f64 4 (.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/3 x) (/.f64 2 x)))))
(tanh.f64 x)
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(/.f64 2 (fma.f64 (.f64 x x) (.f64 x -2/45) (+.f64 (/.f64 2 x) (*.f64 2/3 x))))
(/.f64 2 (+.f64 (.f64 2/3 x) (+.f64 (.f64 -2/45 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

10.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 221 to 138 computations (37.6% saved)

regimes14.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
x
x
x
x
(/.f64 3 x)
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (*.f64 x 2/3))
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
(/.f64 2 (/.f64 (-.f64 (/.f64 4 (.f64 x x)) (.f64 4/9 (.f64 x x))) (-.f64 (/.f64 2 x) (.f64 2/3 x))))
(/.f64 2 (.f64 (-.f64 (.f64 4/9 (.f64 x x)) (/.f64 4 (.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/3 x) (/.f64 2 x)))))

Outputs
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
2.0b	1	`x`

Compiler

Compiled 80 to 54 computations (32.5% saved)

regimes13.0ms (0.2%)

Accuracy

Total -59.2b remaining (-2404.3%)

Threshold costs -59.2b (-2404.3%)

Counts

8 → 1

Calls

Call 1

Inputs
x
x
x
x
(/.f64 3 x)
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (*.f64 x 2/3))

Outputs
x

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.5b	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	16	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
x

Outputs
(tanh.f64 x)
(/.f64 2 (+.f64 (.f64 2/3 x) (.f64 2 (/.f64 1 x))))
(/.f64 2 (+.f64 (.f64 x 2/3) (.f64 2 (/.f64 1 x))))
x

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness0.0ms (0%)

end23.0ms (0.3%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

Details

analyze56.0ms (0.8%)

sample3.7s (51.1%)

preprocess86.0ms (1.2%)

simplify63.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.3%)

series8.0ms (0.1%)

rewrite185.0ms (2.6%)

simplify83.0ms (1.1%)

eval17.0ms (0.2%)

prune13.0ms (0.2%)

localize3.0ms (0%)

series3.0ms (0%)

rewrite46.0ms (0.6%)

simplify70.0ms (1%)

localize14.0ms (0.2%)

series8.0ms (0.1%)

rewrite90.0ms (1.3%)

simplify75.0ms (1%)

localize27.0ms (0.4%)

series8.0ms (0.1%)

rewrite96.0ms (1.3%)

simplify154.0ms (2.1%)

localize18.0ms (0.3%)

series6.0ms (0.1%)

rewrite94.0ms (1.3%)

simplify95.0ms (1.3%)

localize19.0ms (0.3%)

series8.0ms (0.1%)

rewrite112.0ms (1.6%)

simplify72.0ms (1%)

eval349.0ms (4.9%)

prune116.0ms (1.6%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite92.0ms (1.3%)

simplify105.0ms (1.5%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite65.0ms (0.9%)

simplify76.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite94.0ms (1.3%)

simplify72.0ms (1%)

eval137.0ms (1.9%)

prune85.0ms (1.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.7%)

simplify7.0ms (0.1%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite104.0ms (1.4%)

simplify73.0ms (1%)

localize29.0ms (0.4%)

series4.0ms (0.1%)

rewrite94.0ms (1.3%)

simplify69.0ms (1%)

eval157.0ms (2.2%)

prune53.0ms (0.7%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end23.0ms (0.3%)

Profiling