Details

analyze5.0ms (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%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.4s (58.9%)

Results

1.6s	4053×	body	1024	valid
450.0ms	2041×	body	512	valid
170.0ms	1729×	body	256	valid
165.0ms	433×	body	2048	valid
1.0ms	9×	body	256	infinite

Bogosity

preprocess51.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25
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))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.7b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite54.0ms (1.3%)

Algorithm

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

Rules

180×	`add-sqr-sqrt`
172×	`pow1`
172×	`*-un-lft-identity`
170×	`add-exp-log`
168×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2644	11
0	8	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

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

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))))))))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Counts

21 → 33

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)))
(+.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))))

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 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) 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 x (fma.f64 x (.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (.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 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))

eval10.0ms (0.2%)

Compiler: Compiled 479 to 318 computations (33.6% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (+.f64 x x) 2)
▶	0.7b	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	39.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize56.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	0.0b	(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x)))
✓	0.1b	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
✓	39.9b	(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 64 to 38 computations (40.6% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`add-sqr-sqrt`
1670×	`*-un-lft-identity`
1564×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	198	50
2	2307	50

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x)))
(sinh.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 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (cbrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 1/3) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 x) 4) 2)))) (#(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 pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.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 exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sinh.f64 x) 3) 8) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 2 (sinh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 2 (sinh.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sinh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1678×	`distribute-lft-in`
1662×	`associate-*r/`
1360×	`associate-*l/`
1156×	`associate-/r*`
1144×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	254	2696
1	599	2660
2	2649	2660

Stop Event

1×	node limit

Counts

140 → 157

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 8/45 (pow.f64 x 6))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 4/315 (pow.f64 x 8)) (.f64 8/45 (pow.f64 x 6)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
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 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(.f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(.f64 (cbrt.f64 (.f64 2 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (pow.f64 (.f64 2 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 1/3) (cbrt.f64 (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) 4) 2)
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (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)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (sinh.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8))) 1)
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 1)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (sinh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 2/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(exp.f64 (.f64 2 (log.f64 (.f64 2 (sinh.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 2 (sinh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (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 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(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)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(log1p.f64 (expm1.f64 (sinh.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)))
(+.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))))
(+.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)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(fma.f64 4 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 8))
(fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 5) 4))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 13/15)))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 7) 13/15)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (fma.f64 13/15 (pow.f64 x 7) (*.f64 41/378 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 7) 13/15 (*.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 x 4))
(+.f64 (.f64 4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4)))
(fma.f64 4 (.f64 x x) (.f64 4/3 (pow.f64 x 4)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 8/45 (pow.f64 x 6))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 8/45 (pow.f64 x 6))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 4/315 (pow.f64 x 8)) (.f64 8/45 (pow.f64 x 6)))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 4/315 (pow.f64 x 8) (.f64 8/45 (pow.f64 x 6)))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 8/45 (pow.f64 x 6) (.f64 4/315 (pow.f64 x 8)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
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)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(*.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 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 2 (pow.f64 (sinh.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (.f64 4 (sinh.f64 x))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))))
(.f64 (cbrt.f64 (.f64 2 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) (cbrt.f64 (sinh.f64 x)))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 8 (pow.f64 (sinh.f64 x) 2))))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2)))
(.f64 (pow.f64 (.f64 2 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 1/3) (cbrt.f64 (sinh.f64 x)))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 8 (pow.f64 (sinh.f64 x) 2))))
(/.f64 (*.f64 (sinh.f64 x) 4) 2)
(*.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 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.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 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 1/3)
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(*.f64 2 (sinh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.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))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(*.f64 2 (sinh.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (sinh.f64 x)))) 1/3))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8))) 1)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (.f64 2 (sinh.f64 x))) 2)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 1)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 2)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 3) 1/3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8))))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 3))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (sinh.f64 x)))) 1))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8)))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 3) 8) 2/3)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 3)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 2 (sinh.f64 x)))))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 2))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 2 (sinh.f64 x)))) 1))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (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 (*.f64 2 (sinh.f64 x)) 2)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (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)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(sinh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)

localize36.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	181	28
2	2043	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1234×	`distribute-lft-out`
1074×	`fma-def`
688×	`*-commutative`
574×	`distribute-lft-neg-in`
568×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	712
1	168	712
2	587	712
3	2514	712
4	5539	712

Stop Event

1×	node limit

Counts

52 → 37

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval154.0ms (3.8%)

Compiler: Compiled 4965 to 3493 computations (29.6% saved)

prune75.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	302	4	306

Error

Counts

306 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.3b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	57.9b	(/.f64 (*.f64 2 (log.f64 (exp.f64 (sinh.f64 x)))) 2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize31.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (sinh.f64 x))
	0.0b	(sinh.f64 x)
✓	4.9b	(log.f64 (exp.f64 (sinh.f64 x)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`add-sqr-sqrt`
968×	`*-un-lft-identity`
916×	`pow1`
898×	`add-cube-cbrt`
888×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	113	14
2	1214	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-/r/`
1252×	`associate-/l*`
1250×	`associate-/r*`
856×	`*-commutative`
752×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1753
1	265	1731
2	1213	1131
3	4564	591

Stop Event

1×	node limit

Counts

67 → 71

Calls

Call 1

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

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

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite82.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`*-commutative`
846×	`unswap-sqr`
670×	`swap-sqr`
472×	`distribute-lft-in`
458×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	217	47
2	2764	47

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (pow.f64 x 6) 1/9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/3 (*.f64 (pow.f64 x 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2))) (-.f64 1 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))) (/.f64 (*.f64 4 (*.f64 x x)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2) (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 (*.f64 x x) 1/3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 1/3 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))))) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 4 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 4 (*.f64 x x)))) (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 4 (*.f64 x x))) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (*.f64 -8 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 4) (pow.f64 (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))) 2))) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x -2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3) (pow.f64 (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))) 3))) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 4) (*.f64 (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))) (-.f64 (*.f64 (*.f64 x 2) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))) (*.f64 (pow.f64 x 6) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2))) (*.f64 (cbrt.f64 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simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1626×	`associate-*r/`
1374×	`associate-*l/`
658×	`associate-r`
582×	`associate-l`
570×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	339	7272
1	1006	6802
2	4542	6802

Stop Event

1×	node limit

Counts

160 → 202

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
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(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (.f64 (sqrt.f64 x) (+.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 2)))) (.f64 (sqrt.f64 x) (-.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -1/3) (neg.f64 (*.f64 x -2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 x (.f64 x (.f64 x 1/3)) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (.f64 x 1/3)) x (*.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/9)) (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))

Outputs
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/3)))) 1)
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(pow.f64 (.f64 x (.f64 x 1/3)) 1)
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/3))) 3)
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(pow.f64 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9)) 1/3)
(cbrt.f64 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/27))
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/3)))))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(cbrt.f64 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/27))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 1/3) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/27))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 x))
(-.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 (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))) 2)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 x 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 (exp.f64 (*.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))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 2))) (-.f64 1 (.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 2))) (+.f64 1 (.f64 (pow.f64 x 3) -1/3)))
(fma.f64 1/3 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x 3)))) (-.f64 1 (.f64 x 2)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (/.f64 (.f64 4 (.f64 x x)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -4 (.f64 x x))) (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 x x) -4)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x -2)))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (.f64 x 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x 2))) (+.f64 1 (.f64 (pow.f64 x 3) -1/3)))
(fma.f64 1/3 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 x 2))))
(-.f64 (+.f64 (.f64 x 2) (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x 3))))) 1)
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 (.f64 x x) 1/3 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 1)
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 1 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (.f64 x (.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (cbrt.f64 x) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (.f64 (.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (fma.f64 (.f64 x x) 1/3 2) x)
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -4 (.f64 x x))) (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 x x) -4)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x -2)))
(.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 x 2) (fma.f64 (pow.f64 x 3) -1/3 (.f64 x 2)))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 2 (fma.f64 x 2 (.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) (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 2 (fma.f64 (pow.f64 x 3) -1/3 (.f64 x 2))) (.f64 (pow.f64 x 6) 1/9)))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (sqrt.f64 x))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 x) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -4 (.f64 x x))) (fma.f64 1/3 (pow.f64 x 3) (.f64 x -2)))
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(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/9)) (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))

eval252.0ms (6.2%)

Compiler: Compiled 7697 to 5880 computations (23.6% saved)

prune49.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	323	4	327

Error

Counts

327 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.3b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	57.9b	(/.f64 (*.f64 2 (log.f64 (exp.f64 (sinh.f64 x)))) 2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes11.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 2 (log.f64 (exp.f64 (sinh.f64 x)))) 2)
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Calls

3 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
2.0ms	(-.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))) 2)`
0.0b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.6b remaining (-89.4%)

Threshold costs -0.6b (-89.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	23	67

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Compiler

Compiled 104 to 58 computations (44.2% saved)

end24.0ms (0.6%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze5.0ms (0.1%)

sample2.4s (58.9%)

preprocess51.0ms (1.3%)

simplify58.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.3%)

simplify47.0ms (1.1%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

localize56.0ms (1.4%)

series6.0ms (0.1%)

rewrite73.0ms (1.8%)

simplify64.0ms (1.6%)

localize36.0ms (0.9%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite82.0ms (2%)

simplify60.0ms (1.5%)

localize4.0ms (0.1%)

eval154.0ms (3.8%)

prune75.0ms (1.8%)

localize31.0ms (0.8%)

series1.0ms (0%)

rewrite69.0ms (1.7%)

simplify70.0ms (1.7%)

localize20.0ms (0.5%)

series2.0ms (0.1%)

rewrite82.0ms (2%)

simplify116.0ms (2.8%)

eval252.0ms (6.2%)

prune49.0ms (1.2%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

simplify5.0ms (0.1%)

soundness76.0ms (1.9%)

end24.0ms (0.6%)

Profiling