Details

analyze322.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample59.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	66×	body	1024	valid
11.0ms	139×	body	128	valid
9.0ms	53×	body	1024	invalid
4.0ms	28×	body	512	valid
3.0ms	24×	body	512	invalid
2.0ms	23×	body	256	valid
1.0ms	14×	body	256	invalid
1.0ms	14×	body	128	invalid

Compiler

Compiled 18 to 20 computations (-11.1% saved)

simplify149.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

3 → 3

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5030	13

prune2.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	3	3
Picked	0	0
Done	0	0
Total	6	6

Error

0.0b

Counts

6 → 3

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(sinh.f64 y)
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3510`
19×	`times-frac_binary64_3494` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
13×	`associate-r_binary64_3428`
10×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
5×	`pow1_binary64_3549`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `associate-l_binary64_3429` `add-log-exp_binary64_3527`
2×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `sinh-def_binary64_3673` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `prod-exp_binary64_3537`
1×	`clear-num_binary64_3487` `associate-/l/_binary64_3435` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `-commutative_binary64_3419`

Counts

3 → 68

Calls

6 calls:

8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)
0.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0ms	(sinh.f64 y)

series327.0ms (0.3%)

Counts

3 → 22

Calls

3 calls:

212.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
71.0ms	(/.f64 (sinh.f64 y) y)
43.0ms	(sinh.f64 y)

Compiler

Compiled 531 to 433 computations (18.5% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4959	1211
1	4959	1211

prune396.0ms (0.4%)

Pruning

54 alts after pruning (53 fresh and 1 done)

	Pruned	Kept	Total
New	39	51	90
Fresh	0	2	2
Picked	0	0	0
Done	0	1	1
Total	39	54	93

Error

Counts

93 → 54

Compiler

Compiled 1725 to 805 computations (53.3% saved)

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(sinh.f64 y)

rewrite50.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_3494`
106×	`add-sqr-sqrt_binary64_3510`
94×	`*-un-lft-identity_binary64_3488`
92×	`add-cube-cbrt_binary64_3523`
47×	`associate-r_binary64_3428`
36×	`add-exp-log_binary64_3526`
20×	`add-cbrt-cube_binary64_3524`
17×	`associate-/r*_binary64_3432`
15×	`div-exp_binary64_3539`
10×	`associate-/r/_binary64_3434` `div-inv_binary64_3485`
9×	`sinh-def_binary64_3673`
7×	`cbrt-undiv_binary64_3522` `pow1_binary64_3549` `prod-exp_binary64_3537`
6×	`associate-/l*_binary64_3433`
5×	`unswap-sqr_binary64_3456`
4×	`1-exp_binary64_3532` `rec-exp_binary64_3538` `add-log-exp_binary64_3527`
3×	`associate-l_binary64_3429` `cbrt-unprod_binary64_3521`
2×	`clear-num_binary64_3487` `frac-2neg_binary64_3499`
1×	`pow-flip_binary64_3562` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `inv-pow_binary64_3573` `-commutative_binary64_3419` `un-div-inv_binary64_3486`

Counts

4 → 192

Calls

8 calls:

19.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

series425.0ms (0.4%)

Counts

4 → 28

Calls

4 calls:

220.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
91.0ms	(/.f64 y (sinh.f64 y))
69.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
45.0ms	(sinh.f64 y)

Compiler

Compiled 677 to 569 computations (16% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4984	3381
1	4984	3381

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
0.0b	(+.f64 y (*.f64 1/120 (pow.f64 y 5)))
0.0b	(+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
0.0b	(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
0.0b	(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
0.0b	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
0.1b	(*.f64 1/120 (pow.f64 y 5))
0.1b	(*.f64 (pow.f64 y 3) 1/6)

rewrite53.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_3510`
27×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
23×	`associate-r_binary64_3428`
21×	`add-exp-log_binary64_3526`
19×	`times-frac_binary64_3494`
18×	`associate-l_binary64_3429`
15×	`add-cbrt-cube_binary64_3524`
9×	`unswap-sqr_binary64_3456`
8×	`unpow-prod-down_binary64_3567` `prod-exp_binary64_3537`
6×	`pow1_binary64_3549`
4×	`cbrt-unprod_binary64_3521` `cube-prod_binary64_3516` `add-log-exp_binary64_3527` `sqr-pow_binary64_3460`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `*-commutative_binary64_3419`
2×	`pow-exp_binary64_3556` `associate-/l/_binary64_3435` `pow-to-exp_binary64_3557` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`
1×	`unpow3_binary64_3554` `clear-num_binary64_3487` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-*r/_binary64_3430` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `cube-mult_binary64_3518`

Counts

4 → 117

Calls

8 calls:

13.0ms	(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
10.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
6.0ms	(*.f64 (pow.f64 y 3) 1/6)
6.0ms	(*.f64 1/120 (pow.f64 y 5))
0.0ms	(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))

series734.0ms (0.7%)

Counts

4 → 28

Calls

4 calls:

468.0ms	(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
195.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
38.0ms	(*.f64 1/120 (pow.f64 y 5))
33.0ms	(*.f64 (pow.f64 y 3) 1/6)

Compiler

Compiled 744 to 635 computations (14.7% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5016	2969

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y))
0.2b	(.f64 1/4 (.f64 (*.f64 x x) (/.f64 (exp.f64 y) y)))
0.0b	(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)
0.0b	(/.f64 (exp.f64 y) y)
5.9b	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
7.8b	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
7.8b	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
30.9b	(+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (-.f64 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y) (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))

rewrite66.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`times-frac_binary64_3494`
33×	`add-sqr-sqrt_binary64_3510`
30×	`*-un-lft-identity_binary64_3488`
28×	`add-cube-cbrt_binary64_3523`
25×	`add-cbrt-cube_binary64_3524`
21×	`add-exp-log_binary64_3526`
13×	`associate-r_binary64_3428`
11×	`add-log-exp_binary64_3527`
9×	`associate-*r/_binary64_3430` `pow1_binary64_3549`
7×	`associate-/l*_binary64_3433` `cbrt-unprod_binary64_3521` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `prod-exp_binary64_3537`
6×	`div-inv_binary64_3485`
4×	`frac-add_binary64_3496` `cancel-sign-sub-inv_binary64_3454`
3×	`associate-/r*_binary64_3432` `pow-prod-down_binary64_3559`
2×	`unswap-sqr_binary64_3456` `flip3--_binary64_3492` `diff-log_binary64_3580` `associate-+r+_binary64_3420` `flip--_binary64_3463` `sum-log_binary64_3579` `sub-neg_binary64_3481`
1×	`difference-of-squares_binary64_3457` `clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `associate-/l/_binary64_3435` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-l_binary64_3429` `+-commutative_binary64_3418` `sub-div_binary64_3495` `frac-2neg_binary64_3499` `frac-sub_binary64_3497` `associate-+r-_binary64_3422` `*-commutative_binary64_3419` `sinh-undef_binary64_3681`

Counts

4 → 119

Calls

8 calls:

27.0ms	(+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (-.f64 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y) (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))
10.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
8.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
6.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
0.0ms	(/.f64 (exp.f64 y) y)

series769.0ms (0.7%)

Counts

4 → 28

Calls

4 calls:

534.0ms	(+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (-.f64 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y) (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))
108.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
91.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
35.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))

Compiler

Compiled 1564 to 1124 computations (28.1% saved)

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	3647
1	4951	3647

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
0.0b	(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x))
0.0b	(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`times-frac_binary64_3494` `sqrt-prod_binary64_3504`
69×	`add-sqr-sqrt_binary64_3510`
55×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
43×	`associate-r_binary64_3428`
41×	`associate-l_binary64_3429`
30×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
12×	`cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
11×	`pow1_binary64_3549`
6×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
5×	`unswap-sqr_binary64_3456`
4×	`associate-*l/_binary64_3431` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527`
2×	`sinh-def_binary64_3673` `*-commutative_binary64_3419` `div-inv_binary64_3485`
1×	`frac-times_binary64_3498` `associate-*r/_binary64_3430`

Counts

4 → 144

Calls

8 calls:

24.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
14.0ms	(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x))
1.0ms	(sinh.f64 y)
1.0ms	(sinh.f64 y)
0.0ms	(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x))

series501.0ms (0.5%)

Counts

4 → 28

Calls

4 calls:

206.0ms	(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x))
197.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (cos.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
52.0ms	(sinh.f64 y)
46.0ms	(sinh.f64 y)

Compiler

Compiled 1126 to 846 computations (24.9% saved)

simplify130.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4944	3272
1	4944	3272

prune12.0s (11.5%)

Pruning

299 alts after pruning (294 fresh and 5 done)

	Pruned	Kept	Total
New	421	263	684
Fresh	17	31	48
Picked	0	0	0
Done	1	5	6
Total	439	299	738

Error

Counts

738 → 299

Compiler

Compiled 20257 to 10010 computations (50.6% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(sinh.f64 y)

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_3494`
54×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
17×	`associate-/r*_binary64_3432`
10×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
6×	`associate-/r/_binary64_3434` `associate-/l*_binary64_3433` `sinh-def_binary64_3673` `div-inv_binary64_3485`
4×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
3×	`add-log-exp_binary64_3527` `pow1_binary64_3549`
2×	`clear-num_binary64_3487` `frac-2neg_binary64_3499`

Counts

3 → 110

Calls

6 calls:

7.0ms	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
0.0ms	(/.f64 y (sinh.f64 y))

series355.0ms (0.3%)

Counts

3 → 22

Calls

3 calls:

213.0ms	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
99.0ms	(/.f64 y (sinh.f64 y))
43.0ms	(sinh.f64 y)

Compiler

Compiled 527 to 429 computations (18.6% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5062	2478

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (.f64 (.f64 x x) 1/2))
0.0b	(-.f64 1 (.f64 (.f64 x x) 1/2))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3527`
1×	`flip3--_binary64_3492` `add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `add-cube-cbrt_binary64_3523` `flip--_binary64_3463` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549` `sub-neg_binary64_3481`

Counts

1 → 12

Calls

2 calls:

3.0ms	(-.f64 1 (.f64 (.f64 x x) 1/2))
0.0ms	(-.f64 1 (.f64 (.f64 x x) 1/2))

series42.0ms (0%)

Counts

1 → 6

Calls

1 calls:

42.0ms

(-.f64 1 (*.f64 (*.f64 x x) 1/2))

Compiler

Compiled 53 to 63 computations (-18.9% saved)

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4881	219
1	4881	219

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y))
0.2b	(.f64 1/4 (.f64 (*.f64 x x) (/.f64 (exp.f64 y) y)))
0.0b	(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)
0.0b	(/.f64 (exp.f64 y) y)
5.9b	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
7.8b	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
7.8b	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
30.9b	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`times-frac_binary64_3494`
33×	`add-sqr-sqrt_binary64_3510`
32×	`*-un-lft-identity_binary64_3488`
28×	`add-cube-cbrt_binary64_3523`
25×	`add-cbrt-cube_binary64_3524`
21×	`add-exp-log_binary64_3526`
16×	`add-log-exp_binary64_3527`
13×	`associate-r_binary64_3428`
9×	`pow1_binary64_3549`
8×	`associate-*r/_binary64_3430`
7×	`associate-/l*_binary64_3433` `cbrt-unprod_binary64_3521` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `prod-exp_binary64_3537`
6×	`sum-log_binary64_3579` `div-inv_binary64_3485`
4×	`frac-add_binary64_3496`
3×	`associate-/r*_binary64_3432` `distribute-neg-frac_binary64_3452` `cancel-sign-sub-inv_binary64_3454` `pow-prod-down_binary64_3559`
2×	`unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `neg-log_binary64_3581`
1×	`difference-of-squares_binary64_3457` `distribute-lft-out_binary64_3439` `clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-/l/_binary64_3435` `diff-log_binary64_3580` `associate-l_binary64_3429` `+-commutative_binary64_3418` `unsub-neg_binary64_3482` `frac-2neg_binary64_3499` `flip--_binary64_3463` `associate-+r-_binary64_3422` `*-commutative_binary64_3419` `neg-sub0_binary64_3483` `associate-+l+_binary64_3421` `sub-neg_binary64_3481` `sinh-undef_binary64_3681`

Counts

4 → 121

Calls

8 calls:

18.0ms	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))
10.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
8.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
6.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
0.0ms	(/.f64 (exp.f64 y) y)

series760.0ms (0.7%)

Counts

4 → 28

Calls

4 calls:

517.0ms	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 x x) (/.f64 (exp.f64 y) y)))))
118.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
93.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
32.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))

Compiler

Compiled 1596 to 1156 computations (27.6% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4935	3734
1	4935	3734

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cos.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cos.f64 x))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(cbrt.f64 (/.f64 (sinh.f64 y) y))
0.0b	(cbrt.f64 (/.f64 (sinh.f64 y) y))
0.0b	(cbrt.f64 (/.f64 (sinh.f64 y) y))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_3519`
36×	`times-frac_binary64_3494`
33×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
4×	`add-log-exp_binary64_3527` `pow1_binary64_3549` `div-inv_binary64_3485`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `cbrt-div_binary64_3520` `pow1/3_binary64_3570`
1×	`clear-num_binary64_3487` `associate-/l/_binary64_3435` `frac-2neg_binary64_3499` `sinh-def_binary64_3673` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`

Counts

4 → 94

Calls

8 calls:

4.0ms	(/.f64 (sinh.f64 y) y)
3.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
0.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cos.f64 x))

series685.0ms (0.7%)

Counts

4 → 21

Calls

4 calls:

212.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
201.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
194.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
77.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 954 to 690 computations (27.7% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4915	1661
1	4915	1661

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(.f64 (cos.f64 x) (/.f64 (/.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y)))))
0.0b	(/.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 (sinh.f64 y))
0.7b	(cbrt.f64 (sinh.f64 y))
0.7b	(cbrt.f64 (sinh.f64 y))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3519`
8×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `pow1/3_binary64_3570` `pow1_binary64_3549`
3×	`sinh-def_binary64_3673` `cbrt-div_binary64_3520`

Counts

4 → 47

Calls

8 calls:

1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 y)
0.0ms	(/.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y)))

series483.0ms (0.5%)

Counts

4 → 15

Calls

4 calls:

141.0ms	(cbrt.f64 (sinh.f64 y))
139.0ms	(cbrt.f64 (sinh.f64 y))
131.0ms	(cbrt.f64 (sinh.f64 y))
72.0ms	(cbrt.f64 y)

Compiler

Compiled 799 to 529 computations (33.8% saved)

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5135	558

prune22.4s (21.4%)

Pruning

454 alts after pruning (446 fresh and 8 done)

	Pruned	Kept	Total
New	288	188	476
Fresh	31	258	289
Picked	0	0	0
Done	2	8	10
Total	321	454	775

Error

Counts

775 → 454

Compiler

Compiled 23776 to 10979 computations (53.8% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 (cos.f64 x) (*.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(/.f64 (cos.f64 x) (*.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(sinh.f64 y)

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_3526`
14×	`add-cbrt-cube_binary64_3524`
13×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
8×	`div-exp_binary64_3539`
6×	`associate-/l*_binary64_3433`
5×	`cbrt-undiv_binary64_3522`
4×	`associate-/r*_binary64_3432` `prod-exp_binary64_3537`
3×	`add-log-exp_binary64_3527` `pow1_binary64_3549`
2×	`1-exp_binary64_3532` `clear-num_binary64_3487` `associate-/r/_binary64_3434` `cbrt-unprod_binary64_3521` `frac-2neg_binary64_3499` `sinh-def_binary64_3673` `div-inv_binary64_3485`
1×	`associate-*r/_binary64_3430`

Counts

3 → 62

Calls

6 calls:

7.0ms	(/.f64 (cos.f64 x) (*.f64 1 (/.f64 y (sinh.f64 y))))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 (cos.f64 x) (*.f64 1 (/.f64 y (sinh.f64 y))))
0.0ms	(/.f64 y (sinh.f64 y))

series363.0ms (0.3%)

Counts

3 → 22

Calls

3 calls:

217.0ms	(/.f64 (cos.f64 x) (*.f64 1 (/.f64 y (sinh.f64 y))))
101.0ms	(/.f64 y (sinh.f64 y))
44.0ms	(sinh.f64 y)

Compiler

Compiled 559 to 461 computations (17.5% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5124	1054

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
0.0b	(/.f64 y (sinh.f64 y))
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.0b	(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_3510`
70×	`sqrt-prod_binary64_3504`
53×	`times-frac_binary64_3494`
44×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
19×	`swap-sqr_binary64_3455` `pow1_binary64_3549`
17×	`associate-l_binary64_3429` `associate-r_binary64_3428`
9×	`unswap-sqr_binary64_3456`
8×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506`
7×	`sinh-def_binary64_3673`
5×	`pow-prod-up_binary64_3558` `associate-/r/_binary64_3434` `div-inv_binary64_3485`
4×	`sqrt-div_binary64_3505` `add-log-exp_binary64_3527` `rem-sqrt-square_binary64_3501`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
2×	`sqr-abs_binary64_3503`
1×	`associate-l/_binary64_3431` `clear-num_binary64_3487` `rem-square-sqrt_binary64_3500` `cbrt-unprod_binary64_3521` `frac-times_binary64_3498` `associate-r/_binary64_3430` `pow2_binary64_3569` `pow-plus_binary64_3551` `frac-2neg_binary64_3499` `*-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `sqrt-unprod_binary64_3508` `prod-exp_binary64_3537`

Counts

4 → 136

Calls

8 calls:

19.0ms	(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
3.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y)))))

series288.0ms (0.3%)

Counts

4 → 23

Calls

4 calls:

100.0ms	(/.f64 y (sinh.f64 y))
99.0ms	(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
48.0ms	(sinh.f64 y)
41.0ms	(sinh.f64 y)

Compiler

Compiled 654 to 547 computations (16.4% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4949	2088
1	4949	2088

localize29.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 x (exp.f64 y)) (cbrt.f64 y)))
0.0b	(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)
0.0b	(/.f64 x (exp.f64 y))
0.0b	(/.f64 (exp.f64 y) y)
0.7b	(cbrt.f64 y)
5.9b	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
7.8b	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
40.9b	(+.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 x (exp.f64 y)) (cbrt.f64 y)))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (*.f64 x x) (/.f64 (exp.f64 y) y)))))

rewrite61.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_3510`
17×	`*-un-lft-identity_binary64_3488`
16×	`add-cbrt-cube_binary64_3524` `add-log-exp_binary64_3527`
15×	`associate-*r/_binary64_3430`
14×	`add-exp-log_binary64_3526`
13×	`associate-r_binary64_3428` `add-cube-cbrt_binary64_3523`
10×	`times-frac_binary64_3494`
9×	`pow1_binary64_3549`
8×	`frac-add_binary64_3496`
6×	`cbrt-unprod_binary64_3521` `sum-log_binary64_3579` `prod-exp_binary64_3537`
5×	`distribute-neg-frac_binary64_3452`
3×	`cbrt-prod_binary64_3519` `cancel-sign-sub-inv_binary64_3454` `pow-prod-down_binary64_3559`
2×	`unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `neg-log_binary64_3581`
1×	`difference-of-squares_binary64_3457` `associate-l/_binary64_3431` `distribute-lft-out_binary64_3439` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `diff-log_binary64_3580` `associate-l_binary64_3429` `+-commutative_binary64_3418` `frac-times_binary64_3498` `unsub-neg_binary64_3482` `flip--_binary64_3463` `associate-+r-_binary64_3422` `-commutative_binary64_3419` `pow1/3_binary64_3570` `neg-sub0_binary64_3483` `associate-+l+_binary64_3421` `div-inv_binary64_3485` `sub-neg_binary64_3481` `sinh-undef_binary64_3681`

Counts

4 → 86

Calls

8 calls:

30.0ms	(+.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 x (exp.f64 y)) (cbrt.f64 y)))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (*.f64 x x) (/.f64 (exp.f64 y) y)))))
10.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
6.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
1.0ms	(cbrt.f64 y)
0.0ms	(/.f64 (exp.f64 y) y)

series777.0ms (0.7%)

Counts

4 → 25

Calls

4 calls:

571.0ms	(+.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 x (exp.f64 y)) (cbrt.f64 y)))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (*.f64 x x) (/.f64 (exp.f64 y) y)))))
94.0ms	(.f64 (.f64 x x) (/.f64 (exp.f64 y) y))
77.0ms	(cbrt.f64 y)
35.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))

Compiler

Compiled 1608 to 1129 computations (29.8% saved)

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5494	2978

localize28.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y))
0.0b	(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)
0.0b	(sqrt.f64 (exp.f64 y))
0.0b	(sqrt.f64 (exp.f64 y))
5.5b	(.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
5.9b	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
7.8b	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
39.6b	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 y))))))

rewrite75.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`times-frac_binary64_3494`
32×	`add-exp-log_binary64_3526`
30×	`add-cbrt-cube_binary64_3524`
29×	`add-sqr-sqrt_binary64_3510`
28×	`*-un-lft-identity_binary64_3488`
24×	`add-cube-cbrt_binary64_3523`
22×	`associate-*r/_binary64_3430`
16×	`add-log-exp_binary64_3527`
12×	`frac-add_binary64_3496` `cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
10×	`associate-r_binary64_3428`
9×	`distribute-neg-frac_binary64_3452` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `pow1_binary64_3549`
7×	`associate-/l*_binary64_3433`
6×	`sum-log_binary64_3579` `div-inv_binary64_3485`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `sqrt-prod_binary64_3504`
3×	`associate-l/_binary64_3431` `associate-/r_binary64_3432` `unswap-sqr_binary64_3456` `cancel-sign-sub-inv_binary64_3454` `frac-times_binary64_3498` `pow-prod-down_binary64_3559`
2×	`neg-log_binary64_3581`
1×	`difference-of-squares_binary64_3457` `distribute-lft-out_binary64_3439` `clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-/l/_binary64_3435` `diff-log_binary64_3580` `associate-l_binary64_3429` `+-commutative_binary64_3418` `unsub-neg_binary64_3482` `frac-2neg_binary64_3499` `flip--_binary64_3463` `associate-+r-_binary64_3422` `*-commutative_binary64_3419` `neg-sub0_binary64_3483` `associate-+l+_binary64_3421` `sub-neg_binary64_3481` `sinh-undef_binary64_3681`

Counts

4 → 129

Calls

8 calls:

19.0ms	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 y))))))
16.0ms	(.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
11.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
6.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
0.0ms	(sqrt.f64 (exp.f64 y))

series990.0ms (0.9%)

Counts

4 → 28

Calls

4 calls:

535.0ms	(+.f64 (+.f64 (.f64 1/4 (/.f64 (/.f64 (.f64 x x) (exp.f64 y)) y)) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) y)) (neg.f64 (.f64 1/4 (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sqrt.f64 (exp.f64 y)) (cbrt.f64 y))))))
301.0ms	(.f64 (.f64 x x) (/.f64 (sqrt.f64 (exp.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
119.0ms	(/.f64 (/.f64 (*.f64 x x) (exp.f64 y)) y)
35.0ms	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))

Compiler

Compiled 2028 to 1401 computations (30.9% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4941	5020
1	4941	5020

prune24.1s (23%)

Pruning

594 alts after pruning (584 fresh and 10 done)

	Pruned	Kept	Total
New	317	194	511
Fresh	51	390	441
Picked	0	0	0
Done	3	10	13
Total	371	594	965

Error

Counts

965 → 594

Compiler

Compiled 12295 to 3666 computations (70.2% saved)

simplify819.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4990	53288
1	4990	53288

regimes11.8s (11.2%)

Compiler: Compiled 139282 to 83903 computations (39.8% saved)

bsearch0.0ms (0%)

regimes143.0ms (0.1%)

Compiler: Compiled 1015 to 909 computations (10.4% saved)

bsearch0.0ms (0%)

regimes126.0ms (0.1%)

Compiler: Compiled 848 to 773 computations (8.8% saved)

bsearch0.0ms (0%)

regimes65.0ms (0.1%)

Compiler: Compiled 300 to 290 computations (3.3% saved)

bsearch0.0ms (0%)

regimes28.0ms (0%)

Compiler: Compiled 94 to 94 computations (0% saved)

bsearch0.0ms (0%)

regimes15.0ms (0%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch4.0ms (0%)

Compiler: Compiled 28 to 30 computations (-7.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	42
1	22	42

end0.0ms (0%)

sample22.9s (21.9%)

Algorithm

1×

intervals

Results

394.0ms	2007×	body	1024	valid
364.0ms	1948×	body	1024	invalid
205.0ms	4501×	body	128	valid
133.0ms	952×	body	512	valid
128.0ms	983×	body	512	invalid
51.0ms	534×	body	256	valid
43.0ms	493×	body	256	invalid
38.0ms	699×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 27698 to 16713 computations (39.7% saved)

Pareto

0.49332517943852916