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 (61.5%)

Results

1.8s	4062×	body	1024	valid
454.0ms	1991×	body	512	valid
205.0ms	399×	body	2048	valid
199.0ms	1804×	body	256	valid
1.0ms	10×	body	256	unsamplable

Bogosity

preprocess57.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43
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)

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43

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

58.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

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)))
✓	1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	3.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series2.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	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	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite123.0ms (2.9%)

Algorithm

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

Rules

238×	`add-sqr-sqrt`
238×	`add-sqr-sqrt`
230×	`pow1`
230×	`*-un-lft-identity`
230×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	33
2	4074	33
0	8	11
1	170	11
2	2644	11
0	8	11
0	10	5
1	226	5
2	4074	5
0	10	5
0	8	11
1	169	11
2	2616	11
0	8	11

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

860×	`associate--r+`
792×	`associate-/l*`
604×	`associate-/r*`
584×	`associate-*r/`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1097
1	360	1045
2	1524	1023
3	5523	1023

Stop Event

1×	node limit

Counts

69 → 89

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.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))))
(*.f64 2 (sinh.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 (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))))))
(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))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.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 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.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)))
(exp.f64 (log.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.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 (-.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 (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))))))
(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))))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 2 (.f64 x x)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (fma.f64 x x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1 (.f64 2 (sinh.f64 x)))
(*.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 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.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 (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 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) 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 x) 2) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.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 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.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))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(.f64 1 (.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 (.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 2 (cosh.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 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 x) 2) (+.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (.f64 x -2))))
(/.f64 (+.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x -2))))
(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))
(exp.f64 (log.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))

eval56.0ms (1.3%)

Compiler: Compiled 1461 to 653 computations (55.3% saved)

prune57.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	0.0b	(tanh.f64 x)
▶	0.0b	(log1p.f64 (expm1.f64 (tanh.f64 x)))
▶	35.2b	(exp.f64 (log.f64 (tanh.f64 x)))
	1.6b	x

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)
✓	3.0b	(exp.f64 (log.f64 (tanh.f64 x)))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series15.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(exp.f64 (log.f64 (tanh.f64 x)))
1.0ms	x	@	inf	(exp.f64 (log.f64 (tanh.f64 x)))
0.0ms	x	@	0	(exp.f64 (log.f64 (tanh.f64 x)))
0.0ms	x	@	-inf	(tanh.f64 x)
0.0ms	x	@	inf	(tanh.f64 x)

rewrite91.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`add-sqr-sqrt`
1262×	`*-un-lft-identity`
1176×	`add-cube-cbrt`
1166×	`add-cbrt-cube`
1162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	124	10
2	1509	10

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

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

Outputs

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

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

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-+l+`
1138×	`associate-r`
1130×	`associate-+r+`
912×	`associate-l`
698×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	738
1	286	738
2	1071	738
3	5845	738

Stop Event

1×	node limit

Counts

94 → 45

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(-.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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.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 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (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 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 x)))) (sqrt.f64 (log.f64 (tanh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 x))) 2)) (cbrt.f64 (log.f64 (tanh.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)))
(tanh.f64 x)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(-.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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.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 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (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 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 x)))) (sqrt.f64 (log.f64 (tanh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 x))) 2)) (cbrt.f64 (log.f64 (tanh.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)))
(exp.f64 (log.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(tanh.f64 x)
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(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))))
(tanh.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 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 x)))) (sqrt.f64 (log.f64 (tanh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 x))) 2)) (cbrt.f64 (log.f64 (tanh.f64 x))))
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(+.f64 1 (-.f64 (tanh.f64 x) 1))
(tanh.f64 x)
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(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))))
(tanh.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 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 x)))) (sqrt.f64 (log.f64 (tanh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 x))) 2)) (cbrt.f64 (log.f64 (tanh.f64 x))))
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (tanh.f64 x)))
✓	0.0b	(expm1.f64 (tanh.f64 x))
	0.0b	(tanh.f64 x)

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(expm1.f64 (tanh.f64 x))
0.0ms	x	@	0	(expm1.f64 (tanh.f64 x))
0.0ms	x	@	-inf	(expm1.f64 (tanh.f64 x))
0.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (tanh.f64 x)))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (tanh.f64 x)))

rewrite53.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`add-sqr-sqrt`
1288×	`*-un-lft-identity`
1202×	`add-cube-cbrt`
1192×	`add-cbrt-cube`
1188×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	132	14
2	1546	14

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(expm1.f64 (tanh.f64 x))
(log1p.f64 (expm1.f64 (tanh.f64 x)))

Outputs

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

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

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate--r+`
718×	`+-commutative`
650×	`fma-def`
636×	`associate-*r/`
592×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	661
1	380	657
2	1582	651
3	6957	651

Stop Event

1×	node limit

Counts

73 → 75

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 (tanh.f64 x)) -1)
(-.f64 (exp.f64 (tanh.f64 x)) 1)
(*.f64 (expm1.f64 (tanh.f64 x)) 1)
(*.f64 1 (expm1.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (tanh.f64 x))) (sqrt.f64 (expm1.f64 (tanh.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 2) (cbrt.f64 (expm1.f64 (tanh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (tanh.f64 x)) (exp.f64 (tanh.f64 x))) 1) (+.f64 (exp.f64 (tanh.f64 x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (tanh.f64 x)) 3) 1) (+.f64 (.f64 (exp.f64 (tanh.f64 x)) (exp.f64 (tanh.f64 x))) (+.f64 1 (.f64 (exp.f64 (tanh.f64 x)) 1))))
(pow.f64 (expm1.f64 (tanh.f64 x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (tanh.f64 x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 2))
(log.f64 (exp.f64 (expm1.f64 (tanh.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (tanh.f64 x))))
(log1p.f64 (expm1.f64 (expm1.f64 (tanh.f64 x))))
(-.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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.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 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (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 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(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)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (fma.f64 -7/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) 1)
(expm1.f64 (tanh.f64 x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(+.f64 (exp.f64 (tanh.f64 x)) -1)
(expm1.f64 (tanh.f64 x))
(-.f64 (exp.f64 (tanh.f64 x)) 1)
(expm1.f64 (tanh.f64 x))
(*.f64 (expm1.f64 (tanh.f64 x)) 1)
(expm1.f64 (tanh.f64 x))
(*.f64 1 (expm1.f64 (tanh.f64 x)))
(expm1.f64 (tanh.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (tanh.f64 x))) (sqrt.f64 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (tanh.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 2))
(expm1.f64 (tanh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 2) (cbrt.f64 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (tanh.f64 x)) (exp.f64 (tanh.f64 x))) 1) (+.f64 (exp.f64 (tanh.f64 x)) 1))
(expm1.f64 (tanh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (tanh.f64 x)) 3) 1) (+.f64 (.f64 (exp.f64 (tanh.f64 x)) (exp.f64 (tanh.f64 x))) (+.f64 1 (.f64 (exp.f64 (tanh.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (tanh.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 (tanh.f64 x) (tanh.f64 x))) (+.f64 1 (exp.f64 (tanh.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tanh.f64 x)) 3)) (+.f64 (exp.f64 (tanh.f64 x)) (+.f64 1 (exp.f64 (*.f64 2 (tanh.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (tanh.f64 x))) (+.f64 (exp.f64 (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 (tanh.f64 x)) 2))))
(pow.f64 (expm1.f64 (tanh.f64 x)) 1)
(expm1.f64 (tanh.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 (tanh.f64 x))) 2)
(expm1.f64 (tanh.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 (tanh.f64 x))) 3)
(expm1.f64 (tanh.f64 x))
(pow.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 3) 1/3)
(expm1.f64 (tanh.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 2))
(expm1.f64 (tanh.f64 x))
(log.f64 (exp.f64 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (tanh.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 (tanh.f64 x)) 3))
(expm1.f64 (tanh.f64 x))
(exp.f64 (log.f64 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (tanh.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (tanh.f64 x))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(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))))
(tanh.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 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)

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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2168	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))))

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-*r/`
676×	`associate-*l/`
648×	`+-commutative`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	286	1239
2	1157	1171
3	5224	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)

eval82.0ms (1.9%)

Compiler: Compiled 1981 to 1346 computations (32.1% saved)

prune38.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	179	5	184

Error

Counts

184 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
✓	1.4b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	35.2b	(exp.f64 (log.f64 (tanh.f64 x)))
	1.6b	x

Compiler

Compiled 28 to 21 computations (25% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`*-commutative`
712×	`swap-sqr`
674×	`unswap-sqr`
526×	`associate-/r/`
406×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	215	20
2	2944	20

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

simplify137.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-r`
942×	`associate-l`
930×	`associate-/l*`
920×	`times-frac`
536×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	4613
1	1044	4263
2	7001	4251

Stop Event

1×	node limit

Counts

183 → 218

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) -1)
(+.f64 (.f64 (/.f64 1/2 (cosh.f64 x)) (exp.f64 x)) (.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 -1 (exp.f64 x))))
(+.f64 (.f64 (exp.f64 x) (/.f64 1/2 (cosh.f64 x))) (.f64 (/.f64 -1 (exp.f64 x)) (/.f64 1/2 (cosh.f64 x))))
(-.f64 0 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(.f64 2 (.f64 1/2 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 1 (/.f64 (cosh.f64 x) (cbrt.f64 (sinh.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 (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 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 2 (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 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (cbrt.f64 (.f64 2 (sinh.f64 x))))))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) -2) (/.f64 1 (*.f64 (cosh.f64 x) -2)))
(*.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 1/2 (.f64 2 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (.f64 2 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1/2)
(.f64 (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 2 (sinh.f64 x)) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)))
(.f64 (.f64 (sinh.f64 x) 1/2) (/.f64 2 (cosh.f64 x)))
(.f64 (.f64 1/2 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(.f64 -2 (/.f64 1 (/.f64 (.f64 (cosh.f64 x) -2) (sinh.f64 x))))
(.f64 -1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x))))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 1 (.f64 (cosh.f64 x) -2)) (*.f64 (sinh.f64 x) -2))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (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 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)) (sqrt.f64 (sinh.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 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.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 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.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 2 (cosh.f64 x)) (.f64 (sinh.f64 x) 1/2))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)))
(.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/2) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/2))
(.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 1/2) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)) (.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cosh.f64 x)) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1/2))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1/2) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cosh.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (/.f64 2 (.f64 (cosh.f64 x) -2)) (neg.f64 (sinh.f64 x)))
(.f64 (/.f64 2 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sinh.f64 x)))
(.f64 (/.f64 2 (/.f64 (.f64 2 (cosh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) -2)) -2)
(.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)))) (.f64 2 (sinh.f64 x)))
(.f64 (/.f64 (.f64 2 (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) -1)))
(.f64 (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x))))) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2))) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cosh.f64 x)) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1/2) (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1/2))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(neg.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(neg.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2)) 1))
(neg.f64 (.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2))))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) -2) (.f64 2 (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))))
(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 (sinh.f64 x) 3) (pow.f64 (cosh.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 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) -1)
(+.f64 (.f64 (exp.f64 x) 1/2) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2))
(.f64 2 (.f64 (sinh.f64 x) 1/2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1 (/.f64 2 (sqrt.f64 (*.f64 2 (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 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 1 (/.f64 2 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (.f64 (sinh.f64 x) -2) -1/2)
(.f64 1/2 (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/2) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 1/2) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sinh.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/6))
(/.f64 2 (/.f64 2 (sinh.f64 x)))
(/.f64 (sinh.f64 x) 1)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 1 (sinh.f64 x)))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 1 (/.f64 2 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 1 (/.f64 2 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(/.f64 (*.f64 (sinh.f64 x) -2) -2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 4)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) (exp.f64 (log1p.f64 (sinh.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 x) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 x)) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2))) (+.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2)))
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(neg.f64 (neg.f64 (sinh.f64 x)))
(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)))
(exp.f64 (log.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(+.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) -1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (.f64 (/.f64 1/2 (cosh.f64 x)) (exp.f64 x)) (.f64 (/.f64 1/2 (cosh.f64 x)) (/.f64 -1 (exp.f64 x))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x))) (cosh.f64 x))
(+.f64 (.f64 (exp.f64 x) (/.f64 1/2 (cosh.f64 x))) (.f64 (/.f64 -1 (exp.f64 x)) (/.f64 1/2 (cosh.f64 x))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x))) (cosh.f64 x))
(-.f64 0 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 2 (.f64 1/2 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x)))))
(/.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 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 1 (/.f64 (cosh.f64 x) (cbrt.f64 (sinh.f64 x)))))
(/.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 (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 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) 2)) 2))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2) (cbrt.f64 (/.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 (sinh.f64 x) (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (cbrt.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (sinh.f64 x) -2) (/.f64 1 (*.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
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(.f64 (.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (sqrt.f64 (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) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3/2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/6))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1/2) (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1/2))
(/.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 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(/.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 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2)) 1))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) -2) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(fabs.f64 (/.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 (sinh.f64 x) 3) (pow.f64 (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))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) -1)
(sinh.f64 x)
(+.f64 (.f64 (exp.f64 x) 1/2) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) 1/2)))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(sinh.f64 x)
(-.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(.f64 2 (.f64 (sinh.f64 x) 1/2))
(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 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1 (/.f64 2 (sqrt.f64 (*.f64 2 (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 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 1 (/.f64 2 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(sinh.f64 x)
(.f64 (.f64 (sinh.f64 x) -2) -1/2)
(sinh.f64 x)
(.f64 1/2 (.f64 2 (sinh.f64 x)))
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/2) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 1/2) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x))))
(sinh.f64 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sinh.f64 x)) 3/2))
(sinh.f64 x)
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sinh.f64 x) 3) 1/6))
(sinh.f64 x)
(/.f64 2 (/.f64 2 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(sinh.f64 x)
(/.f64 1 (/.f64 1 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(sinh.f64 x)
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 1 (/.f64 2 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(sinh.f64 x)
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(sinh.f64 x)
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 1 (/.f64 2 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) -2) -2)
(sinh.f64 x)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 4)
(sinh.f64 x)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (.f64 4 (cosh.f64 x)) (sinh.f64 x)) (*.f64 4 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (cosh.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 2) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 2 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 2 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (.f64 x -2))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) (exp.f64 (log1p.f64 (sinh.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sinh.f64 x)))) (sinh.f64 x)) (+.f64 1 (exp.f64 (log1p.f64 (sinh.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sinh.f64 x)))) (+.f64 1 (exp.f64 (log1p.f64 (sinh.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 x) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 x)) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2))) (+.f64 (.f64 (exp.f64 x) 1/2) (.f64 (exp.f64 (neg.f64 x)) 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) 2) 1/4) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) 1/4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(/.f64 (.f64 1/4 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (.f64 x -2)))) (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sinh.f64 x)
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(fabs.f64 (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)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)

eval90.0ms (2.1%)

Compiler: Compiled 3497 to 1923 computations (45% saved)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	218	5	223

Error

Counts

223 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.4b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	35.2b	(exp.f64 (log.f64 (tanh.f64 x)))
	1.6b	x

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series25.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	-inf	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	0	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1598×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1464×	`add-cbrt-cube`
156×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	15
2	1956	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+r+`
1014×	`associate-+l+`
842×	`associate-*r/`
636×	`associate-*l/`
526×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1079
1	266	1055
2	1006	1055
3	4702	1055

Stop Event

1×	node limit

Counts

45 → 51

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.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 (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 (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 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (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 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.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 (/.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))))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(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))))
(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))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.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 (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 (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 (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 (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 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.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 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (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 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (sinh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(/.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 (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 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (sinh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.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 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.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 (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 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(/.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 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.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))
(expm1.f64 (log1p.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1))
(/.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))

eval60.0ms (1.4%)

Compiler: Compiled 1635 to 776 computations (52.5% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	126	5	131

Error

Counts

131 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.4b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	35.2b	(exp.f64 (log.f64 (tanh.f64 x)))
	1.6b	x

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (expm1.f64 (tanh.f64 x)))

Calls

2 calls:

5.0ms	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 62 to 33 computations (46.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -36.1b remaining (-184669.1%)

Threshold costs -36.1b (-184669.1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(tanh.f64 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))

Outputs
(tanh.f64 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
x

Outputs
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
x

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end17.0ms (0.4%)

Compiler: Compiled 8 to 4 computations (50% saved)

Details

analyze6.0ms (0.1%)

sample2.7s (61.5%)

preprocess57.0ms (1.3%)

simplify64.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series2.0ms (0.1%)

rewrite123.0ms (2.9%)

simplify62.0ms (1.4%)

eval56.0ms (1.3%)

prune57.0ms (1.3%)

localize6.0ms (0.1%)

series15.0ms (0.3%)

rewrite91.0ms (2.1%)

simplify64.0ms (1.5%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (1.2%)

simplify65.0ms (1.5%)

localize2.0ms (0%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (1.5%)

simplify93.0ms (2.2%)

eval82.0ms (1.9%)

prune38.0ms (0.9%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite79.0ms (1.8%)

simplify137.0ms (3.2%)

eval90.0ms (2.1%)

prune27.0ms (0.6%)

localize5.0ms (0.1%)

series25.0ms (0.6%)

rewrite79.0ms (1.8%)

simplify55.0ms (1.3%)

eval60.0ms (1.4%)

prune16.0ms (0.4%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

simplify11.0ms (0.3%)

soundness0.0ms (0%)

end17.0ms (0.4%)

Profiling