Details

analyze635.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	56
1	493	56
0	3	3
1	3	3

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample84.0ms (0.9%)

Algorithm

1×

intervals

Results

27.0ms	55×	body	1024	valid
22.0ms	147×	body	128	valid
13.0ms	38×	body	512	valid
4.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite123.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_4533`
7×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
6×	`associate-l_binary64_4452` `associate-r_binary64_4451`
5×	`add-log-exp_binary64_4550`
2×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442`
1×	`diff-log_binary64_4603` `flip3--_binary64_4515` `sub-neg_binary64_4504` `flip--_binary64_4486` `cancel-sign-sub-inv_binary64_4477`

Counts

3 → 48

Calls

3 calls:

8.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))
7.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 741 to 179 computations (75.8% saved)

series662.0ms (6.9%)

Error

0.2b

Counts

3 → 33

Calls

3 calls:

360.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
140.0ms	(*.f64 z (sin.f64 y))
125.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 816 to 527 computations (35.4% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5060	896

prune133.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	69	12	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Error

0.0b

Counts

82 → 12

Compiler

Compiled 1156 to 323 computations (72.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))

rewrite153.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series849.0ms (8.8%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

429.0ms	(cbrt.f64 (cos.f64 y))
160.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
122.0ms	(cbrt.f64 (cos.f64 y))
112.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune162.0ms (1.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	87	14	101

Error

0.0b

Counts

101 → 14

Compiler

Compiled 2020 to 587 computations (70.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.4b	(cbrt.f64 (cos.f64 y))

rewrite192.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_4549`
13×	`add-sqr-sqrt_binary64_4533`
12×	`prod-exp_binary64_4560`
11×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
10×	`add-cbrt-cube_binary64_4547`
9×	`pow1_binary64_4572` `associate-r_binary64_4451`
6×	`cbrt-prod_binary64_4542` `cbrt-unprod_binary64_4544`
5×	`pow-exp_binary64_4579`
4×	`add-log-exp_binary64_4550` `associate-l_binary64_4452`
3×	`unpow-prod-down_binary64_4590` `pow-unpow_binary64_4588` `pow-to-exp_binary64_4580`
2×	`pow-prod-down_binary64_4582` `*-commutative_binary64_4442`
1×	`pow1/3_binary64_4593` `pow-pow_binary64_4583` `unpow2_binary64_4576` `sqr-pow_binary64_4483` `unpow1/3_binary64_4578` `unswap-sqr_binary64_4479`

Counts

4 → 72

Calls

4 calls:

18.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1641 to 746 computations (54.5% saved)

series489.0ms (5.1%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

155.0ms	(*.f64 z (sin.f64 y))
133.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
121.0ms	(cbrt.f64 (cos.f64 y))
45.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1033 to 727 computations (29.6% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5121	773

prune178.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	11	12
Picked	1	0	1
Done	1	0	1
Total	97	12	109

Error

0.0b

Counts

109 → 12

Compiler

Compiled 1871 to 797 computations (57.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.4b	(cbrt.f64 (cos.f64 y))
0.6b	(pow.f64 (cos.f64 y) 6)

rewrite188.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-exp-log_binary64_4549`
13×	`cbrt-prod_binary64_4542`
11×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
8×	`add-cbrt-cube_binary64_4547`
7×	`pow1_binary64_4572` `prod-exp_binary64_4560`
6×	`unpow-prod-down_binary64_4590` `associate-r_binary64_4451`
5×	`cbrt-unprod_binary64_4544`
4×	`add-log-exp_binary64_4550`
3×	`pow-unpow_binary64_4588`
2×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `sqr-pow_binary64_4483` `pow1/3_binary64_4593`
1×	`pow-pow_binary64_4583` `pow-prod-down_binary64_4582` `unpow1/3_binary64_4578` `associate-l_binary64_4452` `*-commutative_binary64_4442`

Counts

4 → 66

Calls

4 calls:

21.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(pow.f64 (cos.f64 y) 6)
5.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
3.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1617 to 803 computations (50.3% saved)

series431.0ms (4.5%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

134.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
133.0ms	(cbrt.f64 (cos.f64 y))
90.0ms	(pow.f64 (cos.f64 y) 6)
46.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))

Compiler

Compiled 812 to 587 computations (27.7% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4887	694
1	4887	694

prune137.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1534 to 643 computations (58.1% saved)

regimes574.0ms (5.9%)

Accuracy

Total 0.1b remaining (78.6%)

Threshold costs 0.1b (78.6%)

Compiler

Compiled 2860 to 1990 computations (30.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample4.0s (41.8%)

Algorithm

1×

intervals

Results

1.1s	2025×	body	1024	valid
563.0ms	4414×	body	128	valid
393.0ms	1043×	body	512	valid
140.0ms	515×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 728 to 509 computations (30.1% saved)

Details

analyze635.0ms (6.6%)

sample84.0ms (0.9%)

simplify24.0ms (0.2%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite123.0ms (1.3%)

series662.0ms (6.9%)

simplify125.0ms (1.3%)

prune133.0ms (1.4%)

localize23.0ms (0.2%)

rewrite153.0ms (1.6%)

series849.0ms (8.8%)

simplify147.0ms (1.5%)

prune162.0ms (1.7%)

localize28.0ms (0.3%)

rewrite192.0ms (2%)

series489.0ms (5.1%)

simplify115.0ms (1.2%)

prune178.0ms (1.8%)

localize33.0ms (0.3%)

rewrite188.0ms (1.9%)

series431.0ms (4.5%)

simplify105.0ms (1.1%)

prune137.0ms (1.4%)

regimes574.0ms (5.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample4.0s (41.8%)

Profiling