Details

analyze364.0ms (7.2%)

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)

sample53.0ms (1%)

Algorithm

1×

intervals

Results

22.0ms	67×	body	1024	valid
9.0ms	134×	body	128	valid
6.0ms	30×	body	512	valid
3.0ms	24×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.3%)

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)

localize8.0ms (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 (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_2487`
7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`associate-l_binary64_2406` `associate-r_binary64_2405`
5×	`add-log-exp_binary64_2504`
2×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`

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)

series363.0ms (7.1%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

213.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
68.0ms	(*.f64 z (sin.f64 y))
60.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 848 to 546 computations (35.6% saved)

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4984	927
1	4984	927

prune64.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	73	9	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	10	83

Error

0.0b

Counts

83 → 10

Compiler

Compiled 1128 to 310 computations (72.5% saved)

localize12.0ms (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))

rewrite74.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)

series275.0ms (5.4%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

71.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
67.0ms	(cbrt.f64 (cos.f64 y))
65.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune80.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	88	10	98

Error

0.0b

Counts

98 → 10

Compiler

Compiled 1935 to 533 computations (72.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite70.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series314.0ms (6.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
78.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune72.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Error

0.0b

Counts

95 → 10

Compiler

Compiled 1705 to 457 computations (73.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))
0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
33.7b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

rewrite84.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_2487`
11×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`cbrt-prod_binary64_2496`
6×	`associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504`
3×	`pow-unpow_binary64_2542` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
2×	`unpow-prod-down_binary64_2544` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
1×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `pow-to-exp_binary64_2534`

Counts

4 → 75

Calls

4 calls:

4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

Compiler

Compiled 1325 to 522 computations (60.6% saved)

series372.0ms (7.3%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

132.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
78.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
67.0ms	(*.f64 z (sin.f64 y))
67.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 1365 to 995 computations (27.1% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5008	1077

prune87.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	109	10	119

Error

0.0b

Counts

119 → 10

Compiler

Compiled 1656 to 640 computations (61.4% saved)

regimes285.0ms (5.6%)

Accuracy

Total 0.1b remaining (67.8%)

Threshold costs 0.1b (67.8%)

Compiler

Compiled 2516 to 1746 computations (30.6% 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%)

sample2.1s (41.4%)

Algorithm

1×

intervals

Results

581.0ms	2016×	body	1024	valid
308.0ms	4490×	body	128	valid
194.0ms	949×	body	512	valid
73.0ms	542×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 642 to 448 computations (30.2% saved)

Details

analyze364.0ms (7.2%)

sample53.0ms (1%)

simplify13.0ms (0.3%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite58.0ms (1.1%)

series363.0ms (7.1%)

simplify71.0ms (1.4%)

prune64.0ms (1.3%)

localize12.0ms (0.2%)

rewrite74.0ms (1.5%)

series275.0ms (5.4%)

simplify96.0ms (1.9%)

prune80.0ms (1.6%)

localize12.0ms (0.2%)

rewrite70.0ms (1.4%)

series314.0ms (6.2%)

simplify77.0ms (1.5%)

prune72.0ms (1.4%)

localize10.0ms (0.2%)

rewrite84.0ms (1.7%)

series372.0ms (7.3%)

simplify65.0ms (1.3%)

prune87.0ms (1.7%)

regimes285.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (41.4%)

Profiling