Details

analyze3.0ms (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)

sample2.6s (70.7%)

Results

1.6s	4040×	body	1024	valid
580.0ms	2096×	body	512	valid
234.0ms	1732×	body	256	valid
209.0ms	388×	body	2048	valid
1.0ms	9×	body	256	infinite

Bogosity

preprocess50.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12
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)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12

Stop Event

1×	node limit

Counts

1 → 4

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)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 33 to 16 computations (51.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

58.1b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.1b	(/.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)

series6.0ms (0.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)))

Compiler

Compiled 390 to 285 computations (26.9% saved)

rewrite21.0ms (0.6%)

Algorithm

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

Rules

70×	`add-sqr-sqrt_binary64`
67×	`add-log-exp_binary64`
66×	`*-un-lft-identity_binary64`
66×	`pow1_binary64`
65×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	130	6
2	2188	6
0	6	6

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

Outputs

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

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-*l/_binary64`
434×	`associate-*r/_binary64`
417×	`fma-def_binary64`
315×	`distribute-rgt-in_binary64`
303×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	261
1	175	253
2	549	251
3	2047	187
4	7903	187

Stop Event

1×	node limit

Counts

21 → 34

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

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 1/3 (pow.f64 x 3) x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (fma.f64 1/3 (pow.f64 x 3) x) (fma.f64 1/60 (pow.f64 x 5) 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 1/3 (pow.f64 x 3) (fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (+.f64 x x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 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 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (fma.f64 (exp.f64 x) (exp.f64 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 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 3) x) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))

eval10.0ms (0.3%)

Compiler: Compiled 499 to 328 computations (34.3% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	6	35

Error

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
▶	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
▶	1.1b	(/.f64 (+.f64 x x) 2)
	31.0b	(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	33.8b	(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 132 to 108 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

series6.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 570 to 365 computations (36% saved)

rewrite54.0ms (1.5%)

Algorithm

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

Rules

318×	`pow1_binary64`
311×	`add-sqr-sqrt_binary64`
302×	`*-un-lft-identity_binary64`
297×	`add-log-exp_binary64`
296×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	63	3
2	785	3
0	3	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(sinh.f64 x)

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

Outputs

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

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
464×	`associate-/l*_binary64`
400×	`unswap-sqr_binary64`
261×	`associate-/r/_binary64`
231×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	280
1	101	280
2	290	262
3	1043	100
4	3674	100

Stop Event

1×	node limit

Counts

22 → 22

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

localize4.0ms (0.1%)

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

localize16.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

series7.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 290 to 250 computations (13.8% saved)

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1322	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1131×	`log-prod_binary64`
470×	`exp-sum_binary64`
411×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
321×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	143
1	95	110
2	309	77
3	1849	77
4	5960	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))

localize27.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
✓	0.0b	(*.f64 1/60 (pow.f64 x 5))
	0.1b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 69 to 55 computations (20.3% saved)

series13.0ms (0.4%)

Counts

2 → 1

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/60 (pow.f64 x 5))
1.0ms	x	@	-inf	(*.f64 1/60 (pow.f64 x 5))
1.0ms	x	@	inf	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	-inf	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
0.0ms	x	@	inf	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

Compiler

Compiled 835 to 720 computations (13.8% saved)

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
363×	`exp-prod_binary64`
316×	`prod-exp_binary64`
309×	`fma-def_binary64`
284×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	247	21
2	2870	21

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 15) 1/216000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/3600) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5)) 1 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 x 3)) 1 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/3)) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) (*.f64 x x) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 1/60 (pow.f64 x 5)))))))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
554×	`fma-neg_binary64`
261×	`exp-prod_binary64`
238×	`distribute-rgt-in_binary64`
232×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	1702
1	568	1627
2	1616	1615
3	6425	1615

Stop Event

1×	node limit

Counts

95 → 110

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 15) 1/216000)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1) 1))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))) 1)
(.f64 1 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))
(.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 1/3600) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) -1)
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5)) 1 (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(*.f64 1/60 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/60 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5)))) 3))
(*.f64 1/60 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))
(*.f64 1/60 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 15) 1/216000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1) 1))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 3) 1/3))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))) 1)
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 1 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))))
(.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 5) 1/180))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (.f64 (pow.f64 x 5) -1/180) (pow.f64 x 3) (*.f64 (pow.f64 x 6) 1/9))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))))
(.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 5) 1/180))))
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(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5))))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 2 (sinh.f64 x)))
	0.0b	(sinh.f64 x)
✓	3.1b	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series60.0ms (1.6%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(log.f64 (*.f64 2 (sinh.f64 x)))
21.0ms	x	@	-inf	(log.f64 (*.f64 2 (sinh.f64 x)))
1.0ms	x	@	0	(log.f64 (*.f64 2 (sinh.f64 x)))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 1130 to 700 computations (38.1% saved)

rewrite43.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
511×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	128	14
2	1398	14

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log.f64 (*.f64 2 (sinh.f64 x)))

Outputs

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

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

407×	`fma-def_binary64`
394×	`log-prod_binary64`
311×	`fma-neg_binary64`
288×	`unswap-sqr_binary64`
230×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	733
1	362	725
2	1222	723
3	5222	583

Stop Event

1×	node limit

Counts

66 → 74

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 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (pow.f64 (cbrt.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 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x))))) (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (sinh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (log.f64 2) (log.f64 (sinh.f64 x)))
(+.f64 (log.f64 (sinh.f64 x)) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(+.f64 0 (log.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(+.f64 (*.f64 (log.f64 2) 1) (log.f64 (sinh.f64 x)))
(-.f64 (+.f64 1 (log.f64 (*.f64 2 (sinh.f64 x)))) 1)
(.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1)
(.f64 1 (log.f64 (.f64 2 (sinh.f64 x))))
(.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (sinh.f64 x)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (-.f64 (.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x))) (*.f64 (log.f64 2) (log.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)))) (-.f64 (log.f64 2) (log.f64 (sinh.f64 x))))
(pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 1)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(log1p.f64 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(exp.f64 (log.f64 (log.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 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(-.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 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(-.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 (sinh.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(-.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 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(-.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 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.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) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x))))) (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 2 (sinh.f64 x))))
(pow.f64 (E.f64) (log.f64 (*.f64 2 (sinh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(+.f64 (log.f64 2) (log.f64 (sinh.f64 x)))
(log.f64 (*.f64 2 (sinh.f64 x)))
(+.f64 (log.f64 (sinh.f64 x)) (log.f64 2))
(log.f64 (*.f64 2 (sinh.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(+.f64 0 (log.f64 (*.f64 2 (sinh.f64 x))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(+.f64 (*.f64 (log.f64 2) 1) (log.f64 (sinh.f64 x)))
(log.f64 (*.f64 2 (sinh.f64 x)))
(-.f64 (+.f64 1 (log.f64 (*.f64 2 (sinh.f64 x)))) 1)
(log.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1)
(log.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1 (log.f64 (.f64 2 (sinh.f64 x))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2))
(log.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (sinh.f64 x)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (-.f64 (.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x))) (*.f64 (log.f64 2) (log.f64 (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (sinh.f64 x)) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 (log.f64 (sinh.f64 x)) (log.f64 2)))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)))) (-.f64 (log.f64 2) (log.f64 (sinh.f64 x))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 1)
(log.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 3) 1/3)
(log.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 3)
(log.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)
(log.f64 (*.f64 2 (sinh.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 2))
(log.f64 (*.f64 2 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (sinh.f64 x))) 3))
(log.f64 (*.f64 2 (sinh.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))
(log1p.f64 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(log.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))
(log.f64 (*.f64 2 (sinh.f64 x)))

eval96.0ms (2.6%)

Compiler: Compiled 4615 to 3635 computations (21.2% saved)

prune34.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	256	6	262

Error

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) 2)
✓	0.3b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
✓	1.1b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	33.8b	(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 62 to 52 computations (16.1% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series17.0ms (0.5%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)

Compiler

Compiled 1290 to 980 computations (24% saved)

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
509×	`add-log-exp_binary64`
508×	`log1p-expm1-u_binary64`
508×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	148	6
2	1459	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)

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

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

442×	`associate-/r*_binary64`
440×	`distribute-rgt-in_binary64`
407×	`distribute-lft-in_binary64`
365×	`associate-/r/_binary64`
358×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	653
1	222	475
2	540	473
3	2202	337

Stop Event

1×	node limit

Counts

39 → 41

Calls

Call 1

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

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

eval17.0ms (0.5%)

Compiler: Compiled 909 to 622 computations (31.6% saved)

prune9.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	63	6	69

Error

Counts

69 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.0b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) 2)
✓	0.3b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
✓	1.1b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	33.8b	(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 62 to 52 computations (16.1% saved)

regimes12.0ms (0.3%)

Accuracy

Total -61.4b remaining (-393091.3%)

Threshold costs -61.4b (-393091.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

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 96 to 73 computations (24% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	9	16

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-*l/_binary64`
434×	`associate-*r/_binary64`
417×	`fma-def_binary64`
315×	`distribute-rgt-in_binary64`
303×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	261
1	175	253
2	549	251
3	2047	187
4	7903	187

Stop Event

1×	node limit

Compiler

Compiled 67 to 53 computations (20.9% saved)

end16.0ms (0.4%)

Compiler: Compiled 12 to 9 computations (25% saved)

Details

analyze3.0ms (0.1%)

sample2.6s (70.7%)

preprocess50.0ms (1.3%)

simplify41.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series6.0ms (0.2%)

rewrite21.0ms (0.6%)

simplify44.0ms (1.2%)

eval10.0ms (0.3%)

prune8.0ms (0.2%)

localize7.0ms (0.2%)

series6.0ms (0.2%)

rewrite54.0ms (1.5%)

simplify36.0ms (1%)

localize4.0ms (0.1%)

localize16.0ms (0.4%)

series7.0ms (0.2%)

rewrite36.0ms (1%)

simplify39.0ms (1%)

localize27.0ms (0.7%)

series13.0ms (0.4%)

rewrite58.0ms (1.6%)

simplify63.0ms (1.7%)

localize13.0ms (0.4%)

series60.0ms (1.6%)

rewrite43.0ms (1.2%)

simplify52.0ms (1.4%)

eval96.0ms (2.6%)

prune34.0ms (0.9%)

localize12.0ms (0.3%)

series17.0ms (0.5%)

rewrite36.0ms (1%)

simplify36.0ms (1%)

eval17.0ms (0.5%)

prune9.0ms (0.3%)

regimes12.0ms (0.3%)

simplify6.0ms (0.2%)

soundness68.0ms (1.8%)

end16.0ms (0.4%)

Profiling