Details

analyze6.0ms (0.1%)

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)

sample2.7s (49.7%)

Results

1.7s	3990×	body	1024	valid
539.0ms	1973×	body	512	valid
241.0ms	1896×	body	256	valid
186.0ms	397×	body	2048	valid
0.0ms	6×	body	256	unsamplable

Bogosity

preprocess65.0ms (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)

simplify46.0ms (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))))

eval0.0ms (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

58.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.0b	(/.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)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	2.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	5.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series15.0ms (0.3%)

Counts

3 → 0

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)))
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1580 to 860 computations (45.6% saved)

rewrite85.0ms (1.6%)

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))))))))

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

601×	`times-frac_binary64`
540×	`fma-def_binary64`
280×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
250×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	584
1	228	568
2	1054	285
3	4823	237

Stop Event

1×	node limit

Counts

37 → 47

Calls

Call 1

Inputs
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 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))))))
(/.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))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (tanh.f64 x))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(pow.f64 (tanh.f64 x) 1)
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 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))))))
(/.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))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))

Outputs
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 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))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.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))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(tanh.f64 x)
(-.f64 (/.f64 (/.f64 (exp.f64 x) 2) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 1 (.f64 2 (cosh.f64 x)))
(*.f64 2 (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(*.f64 2 (cosh.f64 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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 (exp.f64 (*.f64 x -2)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 (.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 (*.f64 x -2))))
(/.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))))
(*.f64 2 (cosh.f64 x))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(*.f64 2 (cosh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))

eval11.0ms (0.2%)

Compiler: Compiled 792 to 319 computations (59.7% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Error

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	2.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
▶	29.5b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
▶	0.0b	(tanh.f64 x)

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize2.0ms (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)

series9.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(tanh.f64 x)
1.0ms	x	@	inf	(tanh.f64 x)
0.0ms	x	@	0	(tanh.f64 x)

Compiler

Compiled 810 to 445 computations (45.1% saved)

rewrite35.0ms (0.7%)

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)))))))

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

535×	`log-prod_binary64`
481×	`fma-neg_binary64`
404×	`associate-l_binary64`
393×	`associate-r_binary64`
264×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	279
1	207	186
2	796	93
3	5531	93

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(-.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))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))

Outputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 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))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
✓	0.3b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series21.0ms (0.4%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 1610 to 1140 computations (29.2% saved)

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
510×	`add-log-exp_binary64`
508×	`log1p-expm1-u_binary64`
508×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	114	3
2	1334	3

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.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 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 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (tanh.f64 x))))) (#(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 tanh.f64 x)))))

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
500×	`times-frac_binary64`
312×	`log-prod_binary64`
302×	`div-sub_binary64`
297×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	234
1	194	156
2	728	78
3	4374	78

Stop Event

1×	node limit

Counts

26 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(-.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))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(fabs.f64 (tanh.f64 x))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

Outputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 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))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(fabs.f64 (tanh.f64 x))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(tanh.f64 x)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)

localize13.0ms (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)))
✓	2.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series25.0ms (0.5%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
2.0ms	x	@	inf	(/.f64 1 (*.f64 2 (cosh.f64 x)))
1.0ms	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	@	0	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

Compiler

Compiled 2490 to 1535 computations (38.4% saved)

rewrite59.0ms (1.1%)

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)))))))

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

468×	`distribute-rgt-in_binary64`
455×	`distribute-lft-in_binary64`
406×	`log-prod_binary64`
275×	`times-frac_binary64`
260×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	614
1	419	614
2	2576	611

Stop Event

1×	node limit

Counts

97 → 108

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 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)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (.f64 (cosh.f64 x) -2))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (*.f64 (cosh.f64 x) -2))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 x)) (cosh.f64 x)) 2)
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) 1) (.f64 2 (cosh.f64 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))))
(/.f64 (.f64 -1 (.f64 2 (sinh.f64 x))) (*.f64 (cosh.f64 x) -2))
(/.f64 (.f64 1/2 (.f64 2 (sinh.f64 x))) (cosh.f64 x))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) (pow.f64 (.f64 2 (sinh.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x)))) 1)
(*.f64 1 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(.f64 -1 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(*.f64 1/2 (pow.f64 (cosh.f64 x) -1))
(*.f64 1/2 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) -1) 1/2)
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) -1))
(.f64 (/.f64 1/2 (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (*.f64 2 (cosh.f64 x)) -1)
(pow.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)
(sqrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 1/2 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) 1)
(*.f64 1 (cosh.f64 x))
(*.f64 (cosh.f64 x) 1)
(.f64 (.f64 2 (cosh.f64 x)) 1/2)
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))
(/.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (*.f64 2 (cosh.f64 x)) 2)
(/.f64 (*.f64 (cosh.f64 x) -2) -2)
(pow.f64 (cosh.f64 x) 1)
(pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3)
(pow.f64 (sqrt.f64 (cosh.f64 x)) 2)
(sqrt.f64 (pow.f64 (cosh.f64 x) 2))
(log.f64 (exp.f64 (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (cosh.f64 x) 3))
(expm1.f64 (log1p.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (cosh.f64 x)))
(exp.f64 (log.f64 (cosh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 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)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (.f64 (cosh.f64 x) 2)) (cbrt.f64 (.f64 (sinh.f64 x) 2)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (.f64 (cosh.f64 x) 2)))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (.f64 (cosh.f64 x) -2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (*.f64 (cosh.f64 x) -2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 x)) (cosh.f64 x)) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) 1) (.f64 2 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 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))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (sinh.f64 x))) (cbrt.f64 (.f64 (cosh.f64 x) 2)))
(.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (.f64 -1 (.f64 2 (sinh.f64 x))) (*.f64 (cosh.f64 x) -2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 1/2 (.f64 2 (sinh.f64 x))) (cosh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) (pow.f64 (.f64 2 (sinh.f64 x)) 3)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x)))) 1)
(/.f64 1/2 (cosh.f64 x))
(*.f64 1 (/.f64 1/2 (cosh.f64 x)))
(/.f64 1/2 (cosh.f64 x))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(/.f64 1/2 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2))))
(*.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(/.f64 1/2 (cosh.f64 x))
(.f64 -1 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(/.f64 1/2 (cosh.f64 x))
(*.f64 1/2 (pow.f64 (cosh.f64 x) -1))
(/.f64 1/2 (cosh.f64 x))
(*.f64 1/2 (/.f64 1 (cosh.f64 x)))
(/.f64 1/2 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1) 1/2)
(/.f64 1/2 (cosh.f64 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))
(.f64 (/.f64 1 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (/.f64 1 (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (cosh.f64 x) 2))) 1) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))
(/.f64 (/.f64 1 (cbrt.f64 (.f64 (cosh.f64 x) 2))) (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) -1))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) 2)) -2)
(.f64 (/.f64 1/2 (.f64 2 (cosh.f64 x))) 2)
(/.f64 1/2 (cosh.f64 x))
(pow.f64 (*.f64 2 (cosh.f64 x)) -1)
(/.f64 1/2 (cosh.f64 x))
(pow.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(/.f64 1/2 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) 1/3)
(/.f64 1/2 (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 3)
(/.f64 1/2 (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)
(/.f64 1/2 (cosh.f64 x))
(sqrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))
(/.f64 1/2 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (cosh.f64 x)))))
(/.f64 1/2 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3))
(/.f64 1/2 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x))))
(/.f64 1/2 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (cosh.f64 x))))
(/.f64 1/2 (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 1/2 (cosh.f64 x))))
(/.f64 1/2 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) 1)
(cosh.f64 x)
(*.f64 1 (cosh.f64 x))
(cosh.f64 x)
(*.f64 (cosh.f64 x) 1)
(cosh.f64 x)
(.f64 (.f64 2 (cosh.f64 x)) 1/2)
(cosh.f64 x)
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(cosh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))
(cosh.f64 x)
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))
(cosh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(cosh.f64 x)
(/.f64 (*.f64 2 (cosh.f64 x)) 2)
(cosh.f64 x)
(/.f64 (*.f64 (cosh.f64 x) -2) -2)
(cosh.f64 x)
(pow.f64 (cosh.f64 x) 1)
(cosh.f64 x)
(pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)
(cosh.f64 x)
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3)
(cosh.f64 x)
(pow.f64 (sqrt.f64 (cosh.f64 x)) 2)
(cosh.f64 x)
(sqrt.f64 (pow.f64 (cosh.f64 x) 2))
(cosh.f64 x)
(log.f64 (exp.f64 (cosh.f64 x)))
(cosh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cosh.f64 x))))
(cosh.f64 x)
(cbrt.f64 (pow.f64 (cosh.f64 x) 3))
(cosh.f64 x)
(expm1.f64 (log1p.f64 (cosh.f64 x)))
(cosh.f64 x)
(log1p.f64 (expm1.f64 (cosh.f64 x)))
(cosh.f64 x)
(exp.f64 (log.f64 (cosh.f64 x)))
(cosh.f64 x)
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(sinh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
✓	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 x)))
✓	2.0b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 79 to 42 computations (46.8% saved)

series144.0ms (2.7%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
7.0ms	x	@	-inf	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	x	@	inf	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x	@	0	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 9955 to 7920 computations (20.4% saved)

rewrite164.0ms (3%)

Algorithm

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

Rules

609×	`pow1_binary64`
595×	`pow1_binary64`
571×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	271	56
2	4401	56
0	13	14
1	271	14
2	4401	14
0	13	14
0	6	8
1	122	8
2	1391	8
0	7	11
1	142	11
2	1590	11
0	8	6
1	158	6
2	1660	6

Stop Event

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

Counts

4 → 59

Calls

Call 1

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

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-*l/_binary64`
535×	`times-frac_binary64`
451×	`associate-*r/_binary64`
339×	`associate-/r*_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	892
1	304	715
2	1348	604

Stop Event

1×	node limit

Counts

59 → 78

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 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)))))
(.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)))))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 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)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 1)
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1)
(.f64 1 (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 2))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/6) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1/3))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)) 1)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1)
(pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(/.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))))))
(/.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))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))

Outputs
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 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)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 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)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 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)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1 (cbrt.f64 (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/6) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/6)
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2/3)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3)
(cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)) 3)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 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))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(/.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))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))

eval154.0ms (2.9%)

Compiler: Compiled 5991 to 3415 computations (43% saved)

prune87.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	363	3	366
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	366	4	370

Error

Counts

370 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
▶	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	2.2b	(.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) (/.f64 1 (.f64 2 (cosh.f64 x))))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize44.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (*.f64 2 (sinh.f64 x)))
	0.0b	(/.f64 1 (*.f64 2 (cosh.f64 x)))
✓	0.2b	(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
✓	2.0b	(.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) (/.f64 1 (.f64 2 (cosh.f64 x))))

Compiler

Compiled 63 to 44 computations (30.2% saved)

series20.0ms (0.4%)

Counts

3 → 0

Calls

9 calls:

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

Compiler

Compiled 1940 to 1155 computations (40.5% saved)

rewrite78.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
286×	`pow2_binary64`
252×	`pow-unpow_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	287	17
2	3833	12

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

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

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

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
394×	`unswap-sqr_binary64`
172×	`associate-/r*_binary64`
169×	`log-pow_binary64`
161×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	904
1	570	790
2	2684	784
3	7781	784

Stop Event

1×	node limit

Counts

112 → 134

Calls

Call 1

Inputs
(+.f64 0 (tanh.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tanh.f64 x))) 1)
(/.f64 2 (.f64 (/.f64 1 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 2 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 (sinh.f64 x))))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 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)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 -2 (.f64 (/.f64 1 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(/.f64 -2 (.f64 (.f64 (cosh.f64 x) -2) (/.f64 1 (sinh.f64 x))))
(/.f64 (.f64 (sinh.f64 x) -2) (.f64 (cosh.f64 x) -2))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 x)) (cosh.f64 x)) 2)
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) 1) (.f64 2 (cosh.f64 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))))
(/.f64 (*.f64 2 (/.f64 1/2 (cosh.f64 x))) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (*.f64 (cosh.f64 x) -2))
(/.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) 2) (/.f64 1 (sinh.f64 x)))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)) -1)
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))) -1)
(pow.f64 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))) -1)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(log.f64 (exp.f64 (tanh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 x))))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(tanh.f64 x)
(+.f64 0 (sinh.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 x))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 x))) (sinh.f64 1)))
(*.f64 1 (sinh.f64 x))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sinh.f64 x))))
(.f64 1/2 (.f64 2 (sinh.f64 x)))
(.f64 -1/2 (.f64 (sinh.f64 x) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 x) -2))) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 1/2 (sinh.f64 x)) 2)
(.f64 (.f64 1/2 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(pow.f64 (/.f64 1 (sinh.f64 x)) -1)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (pow.f64 (sinh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (sinh.f64 x) -2) -1/2)
(pow.f64 (pow.f64 (sinh.f64 x) -3) -1/3)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) -3)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) -2)
(pow.f64 (neg.f64 (/.f64 -1 (sinh.f64 x))) -1)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(+.f64 0 (/.f64 1 (sinh.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 x)))) 1)
(*.f64 2 (/.f64 1/2 (sinh.f64 x)))
(*.f64 1 (/.f64 1 (sinh.f64 x)))
(*.f64 (/.f64 1 (sinh.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(*.f64 (pow.f64 (sinh.f64 x) -1/2) (pow.f64 (sinh.f64 x) -1/2))
(.f64 -2 (/.f64 1 (.f64 (sinh.f64 x) -2)))
(*.f64 (/.f64 1/2 (sinh.f64 x)) 2)
(pow.f64 (/.f64 1 (sinh.f64 x)) 1)
(pow.f64 (sinh.f64 x) -1)
(pow.f64 (pow.f64 (sinh.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (sinh.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (sinh.f64 x) -3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (sinh.f64 x)) -2)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (sinh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 x)))))
(cbrt.f64 (pow.f64 (sinh.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) 1))

Outputs
(+.f64 0 (tanh.f64 x))
(tanh.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tanh.f64 x))) 1)
(tanh.f64 x)
(/.f64 2 (.f64 (/.f64 1 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 2 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 (sinh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 2 (/.f64 (*.f64 2 (cosh.f64 x)) (sinh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 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)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2))) (.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2))) (*.f64 2 (cosh.f64 x))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 -2 (.f64 (/.f64 1 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 -2 (.f64 (.f64 (cosh.f64 x) -2) (/.f64 1 (sinh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) -2) (.f64 (cosh.f64 x) -2))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (*.f64 2 (sinh.f64 x)) (cosh.f64 x)) 2)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (/.f64 (.f64 2 (sinh.f64 x)) 1) (.f64 2 (cosh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 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))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(.f64 (/.f64 2 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (*.f64 2 (/.f64 1/2 (cosh.f64 x))) (/.f64 1 (sinh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (*.f64 (cosh.f64 x) -2))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (*.f64 (/.f64 1/2 (cosh.f64 x)) 2) (/.f64 1 (sinh.f64 x)))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (.f64 8 (pow.f64 (cosh.f64 x) 3))))
(cbrt.f64 (*.f64 1 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3))))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3)))
(pow.f64 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)) -1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))) -1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))) -1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 x))))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (.f64 8 (pow.f64 (cosh.f64 x) 3))))
(cbrt.f64 (*.f64 1 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3))))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(tanh.f64 x)
(tanh.f64 x)
(+.f64 0 (sinh.f64 x))
(sinh.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(sinh.f64 x)
(-.f64 (.f64 (sinh.f64 (exp.f64 (log1p.f64 x))) (cosh.f64 1)) (.f64 (cosh.f64 (exp.f64 (log1p.f64 x))) (sinh.f64 1)))
(*.f64 1 (sinh.f64 x))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(*.f64 -1 (/.f64 1 (/.f64 -1 (sinh.f64 x))))
(sinh.f64 x)
(.f64 1/2 (.f64 2 (sinh.f64 x)))
(sinh.f64 x)
(.f64 -1/2 (.f64 (sinh.f64 x) -2))
(sinh.f64 x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 x) -2))) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 x) -2))))
(/.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(.f64 (.f64 1/2 (sinh.f64 x)) 2)
(sinh.f64 x)
(.f64 (.f64 1/2 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2))) 1/2))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (sinh.f64 x) -2))) (.f64 1/2 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(pow.f64 (/.f64 1 (sinh.f64 x)) -1)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 2) 1/2)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) -2) -1/2)
(pow.f64 (pow.f64 (sinh.f64 x) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) -3) -1/6) (pow.f64 (pow.f64 (sinh.f64 x) -3) -1/6))
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(sinh.f64 x)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) -3)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) -2)
(pow.f64 (neg.f64 (/.f64 -1 (sinh.f64 x))) -1)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(sinh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) -1))
(sinh.f64 x)
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(sinh.f64 x)
(+.f64 0 (/.f64 1 (sinh.f64 x)))
(/.f64 1 (sinh.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))))
(/.f64 1 (sinh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 x)))) 1)
(/.f64 1 (sinh.f64 x))
(*.f64 2 (/.f64 1/2 (sinh.f64 x)))
(/.f64 1 (sinh.f64 x))
(*.f64 1 (/.f64 1 (sinh.f64 x)))
(/.f64 1 (sinh.f64 x))
(*.f64 (/.f64 1 (sinh.f64 x)) 1)
(/.f64 1 (sinh.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (cbrt.f64 (sinh.f64 x)))
(*.f64 (pow.f64 (sinh.f64 x) -1/2) (pow.f64 (sinh.f64 x) -1/2))
(/.f64 1 (sinh.f64 x))
(.f64 -2 (/.f64 1 (.f64 (sinh.f64 x) -2)))
(/.f64 1 (sinh.f64 x))
(*.f64 (/.f64 1/2 (sinh.f64 x)) 2)
(/.f64 1 (sinh.f64 x))
(pow.f64 (/.f64 1 (sinh.f64 x)) 1)
(/.f64 1 (sinh.f64 x))
(pow.f64 (sinh.f64 x) -1)
(/.f64 1 (sinh.f64 x))
(pow.f64 (pow.f64 (sinh.f64 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) 3) -1/6) (pow.f64 (pow.f64 (sinh.f64 x) 3) -1/6))
(pow.f64 (pow.f64 (sinh.f64 x) -2) 1/2)
(/.f64 1 (sinh.f64 x))
(pow.f64 (pow.f64 (sinh.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (sinh.f64 x) -3))
(pow.f64 (cbrt.f64 (sinh.f64 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) 3)
(/.f64 1 (sinh.f64 x))
(pow.f64 (sqrt.f64 (sinh.f64 x)) -2)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) 2)
(/.f64 1 (sinh.f64 x))
(sqrt.f64 (pow.f64 (sinh.f64 x) -2))
(/.f64 1 (sinh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))
(/.f64 1 (sinh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 x)))))
(/.f64 1 (sinh.f64 x))
(cbrt.f64 (pow.f64 (sinh.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 x))))
(/.f64 1 (sinh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 x))))
(/.f64 1 (sinh.f64 x))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))
(/.f64 1 (sinh.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) 1))
(/.f64 1 (sinh.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)
✓	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series5.0ms (0.1%)

Counts

1 → 0

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))

Compiler

Compiled 810 to 445 computations (45.1% saved)

rewrite46.0ms (0.8%)

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))))))))

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

429×	`log-div_binary64`
386×	`log-prod_binary64`
353×	`fma-def_binary64`
288×	`cube-div_binary64`
270×	`fabs-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	450
1	202	360
2	719	270
3	3883	270

Stop Event

1×	node limit

Counts

31 → 35

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1)
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 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))))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))

Outputs
(-.f64 (+.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 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))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.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))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 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))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
✓	0.3b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series16.0ms (0.3%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

Compiler

Compiled 1610 to 1140 computations (29.2% saved)

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
570×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	139	3
2	1497	3

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

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 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (*.f64 x 2)) (+.f64 1 (exp.f64 (*.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))))) (#(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 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))))) (#(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 (cbrt.f64 (tanh.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (sqrt.f64 (tanh.f64 x))))))) (#(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 (pow.f64 (tanh.f64 x) 1/4) (*.f64 (pow.f64 (tanh.f64 x) 1/4) (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 (sqrt.f64 (tanh.f64 x)) (pow.f64 (tanh.f64 x) 1/4)) (pow.f64 (tanh.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (sqrt.f64 (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 (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 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 tanh.f64 x)))))

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-neg_binary64`
329×	`div-sub_binary64`
246×	`log-prod_binary64`
230×	`cube-prod_binary64`
212×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	312
1	220	222
2	688	132
3	3384	132

Stop Event

1×	node limit

Counts

32 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 1 (tanh.f64 x))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (sqrt.f64 (tanh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(.f64 (pow.f64 (tanh.f64 x) 1/4) (.f64 (pow.f64 (tanh.f64 x) 1/4) (sqrt.f64 (tanh.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (pow.f64 (tanh.f64 x) 1/4)) (pow.f64 (tanh.f64 x) 1/4))
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (sqrt.f64 (tanh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

Outputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (sqrt.f64 (tanh.f64 x))))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (pow.f64 (tanh.f64 x) 1/4) (.f64 (pow.f64 (tanh.f64 x) 1/4) (sqrt.f64 (tanh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (pow.f64 (tanh.f64 x) 1/4)) (pow.f64 (tanh.f64 x) 1/4))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (sqrt.f64 (tanh.f64 x))))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)
(tanh.f64 x)
(tanh.f64 x)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(+.f64 (tanh.f64 x) 0)

eval151.0ms (2.8%)

Compiler: Compiled 4003 to 2530 computations (36.8% saved)

prune41.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	312	2	314
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	314	4	318

Error

Counts

318 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	1.3b	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
▶	2.2b	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 1 (sinh.f64 x))
✓	0.2b	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
✓	2.0b	(*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series16.0ms (0.3%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x))
0.0ms	x	@	inf	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))

Compiler

Compiled 2190 to 1245 computations (43.2% saved)

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
767×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	170	22
2	2192	22

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify362.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg_binary64`
625×	`associate-/l*_binary64`
494×	`associate-/r*_binary64`
459×	`associate-/r/_binary64`
392×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1123
1	415	886
2	1676	655
3	7897	655

Stop Event

1×	node limit

Counts

81 → 90

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))) 1)
(/.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (/.f64 1 (sinh.f64 x)) (/.f64 1 (cosh.f64 x)))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (sinh.f64 x) 2))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)) -1)
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (sinh.f64 x)))
(/.f64 (.f64 -1 (.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 (sinh.f64 x)) 2))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) -1) (*.f64 2 (neg.f64 (sinh.f64 x))))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) 1) (sinh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(/.f64 (*.f64 -1 (cosh.f64 x)) (neg.f64 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 (sinh.f64 x))) 2)
(/.f64 (.f64 (/.f64 1 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (*.f64 (cosh.f64 x) -1) (neg.f64 (sinh.f64 x)))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sinh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 1 (sinh.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (pow.f64 (cosh.f64 x) -1))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) -1) (sinh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sinh.f64 x))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 x)))
(*.f64 (/.f64 1 (sinh.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(*.f64 (pow.f64 (sinh.f64 x) -1/2) (pow.f64 (sinh.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sinh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 x)) -1) (pow.f64 (sqrt.f64 (sinh.f64 x)) -1))
(.f64 (/.f64 1 (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (sinh.f64 x) -1)
(pow.f64 (/.f64 1 (sinh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (sinh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))

Outputs
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 1 (sinh.f64 x)) (/.f64 1 (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (sinh.f64 x) 2))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
(+.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 0)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (sinh.f64 x)))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) 1) (sinh.f64 x))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
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(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 3))
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(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sinh.f64 x) 3)))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3) (pow.f64 (cosh.f64 x) 3)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 1 (sinh.f64 x)) 3)))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
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(/.f64 (cosh.f64 x) (sinh.f64 x))
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(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
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(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (pow.f64 (cosh.f64 x) -1))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1) (sinh.f64 x))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
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(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(*.f64 1 (/.f64 1 (sinh.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(*.f64 (/.f64 1 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (cbrt.f64 (sinh.f64 x)))
(*.f64 (pow.f64 (sinh.f64 x) -1/2) (pow.f64 (sinh.f64 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (sinh.f64 x))))
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(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 x)) -1))
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(/.f64 1 (sinh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 x)) -1) (pow.f64 (sqrt.f64 (sinh.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(.f64 (/.f64 1 (.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(pow.f64 (sinh.f64 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(pow.f64 (/.f64 1 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(sqrt.f64 (pow.f64 (sinh.f64 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sinh.f64 x)) 1))
(+.f64 (/.f64 1 (sinh.f64 x)) 0)
(/.f64 1 (sinh.f64 x))

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 x 2)))
✓	1.2b	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))

Compiler

Compiled 32 to 25 computations (21.9% saved)

series14.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
1.0ms	x	@	0	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
0.0ms	x	@	0	(+.f64 1 (exp.f64 (*.f64 x 2)))
0.0ms	x	@	inf	(+.f64 1 (exp.f64 (*.f64 x 2)))

Compiler

Compiled 1140 to 940 computations (17.5% saved)

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
835×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	185	26
2	2317	26

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(+.f64 1 (exp.f64 (*.f64 x 2)))

Outputs

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

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

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

703×	`unswap-sqr_binary64`
591×	`associate-/r*_binary64`
549×	`associate-/l*_binary64`
420×	`associate-*l/_binary64`
399×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1379
1	355	1228
2	1315	1057
3	7734	1057

Stop Event

1×	node limit

Counts

64 → 79

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (expm1.f64 (+.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (hypot.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (hypot.f64 1 (exp.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 x) 4))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (expm1.f64 (+.f64 x x))) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(exp.f64 (-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log1p.f64 (pow.f64 (exp.f64 x) 2))))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (pow.f64 (exp.f64 x) 4) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (hypot.f64 1 (exp.f64 x)) (hypot.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (+.f64 1 (pow.f64 (exp.f64 x) 6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 4))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) (expm1.f64 (+.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1 (pow.f64 (exp.f64 x) 2) 1)
(fma.f64 (exp.f64 x) (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1)

Outputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (expm1.f64 (+.f64 x x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (hypot.f64 1 (exp.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x)))) (+.f64 1 (pow.f64 (exp.f64 x) 6)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 x) 4))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (+.f64 x x)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 3)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (hypot.f64 1 (exp.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (expm1.f64 (+.f64 x x))) -1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1))
(+.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 0)
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(exp.f64 (-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log1p.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2))))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (pow.f64 (exp.f64 x) 4) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(*.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(*.f64 (hypot.f64 1 (exp.f64 x)) (hypot.f64 1 (exp.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (+.f64 1 (pow.f64 (exp.f64 x) 6))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (pow.f64 (exp.f64 x) 4) (expm1.f64 (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) 1) (expm1.f64 (+.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) -1) (expm1.f64 (+.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3) 1/3)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 3)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) 2)
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (pow.f64 (exp.f64 x) 2))
(fma.f64 (exp.f64 x) (exp.f64 x) 1)
(fma.f64 1 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (pow.f64 (exp.f64 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1)

eval61.0ms (1.1%)

Compiler: Compiled 2630 to 1512 computations (42.5% saved)

prune30.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	191	4	195

Error

Counts

195 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.3b	(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
✓	2.2b	(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes14.0ms (0.3%)

Accuracy

Total -60.8b remaining (-311222.1%)

Threshold costs -60.8b (-311222.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (*.f64 (/.f64 1 (sinh.f64 x)) (cosh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) (/.f64 1 (.f64 2 (cosh.f64 x))))
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

9.0ms	x
2.0ms	(/.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 121 to 69 computations (43% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)

Outputs
(tanh.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness93.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

601×	`times-frac_binary64`
540×	`fma-def_binary64`
280×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
250×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	584
1	228	568
2	1054	285
3	4823	237

Stop Event

1×	node limit

Compiler

Compiled 128 to 81 computations (36.7% saved)

end10.0ms (0.2%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

Details

analyze6.0ms (0.1%)

sample2.7s (49.7%)

preprocess65.0ms (1.2%)

simplify46.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series15.0ms (0.3%)

rewrite85.0ms (1.6%)

simplify41.0ms (0.8%)

eval11.0ms (0.2%)

prune6.0ms (0.1%)

localize2.0ms (0%)

series9.0ms (0.2%)

rewrite35.0ms (0.7%)

simplify38.0ms (0.7%)

localize5.0ms (0.1%)

series21.0ms (0.4%)

rewrite50.0ms (0.9%)

simplify41.0ms (0.8%)

localize13.0ms (0.2%)

series25.0ms (0.5%)

rewrite59.0ms (1.1%)

simplify79.0ms (1.5%)

localize30.0ms (0.6%)

series144.0ms (2.7%)

rewrite164.0ms (3%)

simplify60.0ms (1.1%)

eval154.0ms (2.9%)

prune87.0ms (1.6%)

localize44.0ms (0.8%)

series20.0ms (0.4%)

rewrite78.0ms (1.4%)

simplify61.0ms (1.1%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite46.0ms (0.8%)

simplify36.0ms (0.7%)

localize18.0ms (0.3%)

series16.0ms (0.3%)

rewrite40.0ms (0.7%)

simplify36.0ms (0.7%)

eval151.0ms (2.8%)

prune41.0ms (0.8%)

localize13.0ms (0.2%)

series16.0ms (0.3%)

rewrite53.0ms (1%)

simplify362.0ms (6.7%)

localize17.0ms (0.3%)

series14.0ms (0.3%)

rewrite60.0ms (1.1%)

simplify70.0ms (1.3%)

eval61.0ms (1.1%)

prune30.0ms (0.6%)

regimes14.0ms (0.3%)

simplify2.0ms (0%)

soundness93.0ms (1.7%)

end10.0ms (0.2%)

Profiling