Details

analyze457.0ms (6.8%)

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)

sample44.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	48×	body	1024	valid
10.0ms	155×	body	128	valid
7.0ms	35×	body	512	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (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 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite58.0ms (0.9%)

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:

4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 741 to 179 computations (75.8% saved)

series438.0ms (6.5%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

255.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
83.0ms	(*.f64 z (sin.f64 y))
81.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 812 to 526 computations (35.2% saved)

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5076	896

prune98.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Error

0.0b

Counts

82 → 9

Compiler

Compiled 1109 to 293 computations (73.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite109.0ms (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:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series384.0ms (5.7%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

111.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
96.0ms	(cbrt.f64 (cos.f64 y))
89.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune120.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	88	10	98

Error

0.0b

Counts

98 → 10

Compiler

Compiled 1947 to 541 computations (72.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite163.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series505.0ms (7.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

290.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
83.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
30.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1037 to 731 computations (29.5% saved)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5178	1077

prune147.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	114	10	124

Error

0.0b

Counts

124 → 10

Compiler

Compiled 2167 to 851 computations (60.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite99.0ms (1.5%)

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:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series339.0ms (5%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

109.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
80.0ms	(cbrt.f64 (sin.f64 y))
72.0ms	(cbrt.f64 (sin.f64 y))
64.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 922 to 584 computations (36.7% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune92.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	89	10	99

Error

0.0b

Counts

99 → 10

Compiler

Compiled 1821 to 449 computations (75.3% saved)

regimes420.0ms (6.2%)

Accuracy

Total 0.1b remaining (78.4%)

Threshold costs 0.1b (78.4%)

Compiler

Compiled 3244 to 2298 computations (29.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample2.9s (42.3%)

Algorithm

1×

intervals

Results

743.0ms	1993×	body	1024	valid
375.0ms	4488×	body	128	valid
264.0ms	1011×	body	512	valid
87.0ms	504×	body	256	valid
9.0ms	4×	body	2048	valid

Compiler

Compiled 824 to 586 computations (28.9% saved)

Details

analyze457.0ms (6.8%)

sample44.0ms (0.7%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite58.0ms (0.9%)

series438.0ms (6.5%)

simplify88.0ms (1.3%)

prune98.0ms (1.4%)

localize12.0ms (0.2%)

rewrite109.0ms (1.6%)

series384.0ms (5.7%)

simplify103.0ms (1.5%)

prune120.0ms (1.8%)

localize18.0ms (0.3%)

rewrite163.0ms (2.4%)

series505.0ms (7.5%)

simplify78.0ms (1.2%)

prune147.0ms (2.2%)

localize12.0ms (0.2%)

rewrite99.0ms (1.5%)

series339.0ms (5%)

simplify80.0ms (1.2%)

prune92.0ms (1.4%)

regimes420.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (42.3%)

Profiling