Details

analyze249.0ms (6%)

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
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)

sample43.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	53×	body	1024	valid
9.0ms	141×	body	128	valid
7.0ms	36×	body	512	valid
3.0ms	26×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify106.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune2.0ms (0.1%)

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5215`
7×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231` `pow1_binary64_5254`
6×	`associate-l_binary64_5134` `associate-r_binary64_5133`
5×	`add-log-exp_binary64_5232`
2×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`
1×	`flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159` `diff-log_binary64_5285`

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)))

series128.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	(*.f64 z (sin.f64 y))
27.0ms	(*.f64 x (cos.f64 y))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4964	635
1	4964	635

prune52.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Error

0.0b

Counts

58 → 9

Compiler

Compiled 922 to 256 computations (72.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5254`
10×	`add-sqr-sqrt_binary64_5215`
9×	`pow1/3_binary64_5275`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
7×	`cbrt-prod_binary64_5224`
6×	`add-exp-log_binary64_5231`
4×	`add-cbrt-cube_binary64_5229` `associate-l_binary64_5134` `add-log-exp_binary64_5232` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series453.0ms (11%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
104.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify136.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5256	678

prune67.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	69	10	79

Error

0.0b

Counts

79 → 10

Compiler

Compiled 1806 to 424 computations (76.5% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_5224`
6×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `pow1/3_binary64_5275` `pow1_binary64_5254`

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 z)

series350.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
98.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
86.0ms	(cbrt.f64 z)
66.0ms	(cbrt.f64 (sin.f64 y))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4933	467
1	4933	467

prune58.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	52	10	62

Error

0.0b

Counts

62 → 10

Compiler

Compiled 1544 to 358 computations (76.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
6.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64_5224`
7×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `pow1/3_binary64_5275` `pow1_binary64_5254`

Counts

4 → 42

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 z)

series322.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
78.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 (sin.f64 y))
69.0ms	(cbrt.f64 (sin.f64 y))

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4933	465
1	4933	465

prune47.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	54	10	64

Error

0.0b

Counts

64 → 10

Compiler

Compiled 1495 to 279 computations (81.3% saved)

regimes143.0ms (3.5%)

Accuracy

Total 0.1b remaining (60.6%)

Threshold costs 0.1b (60.6%)

Compiler

Compiled 1316 to 850 computations (35.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.7s (40.8%)

Algorithm

1×

intervals

Results

572.0ms	2045×	body	1024	valid
311.0ms	4463×	body	128	valid
199.0ms	1030×	body	512	valid
70.0ms	459×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 342 to 224 computations (34.5% saved)

Details

analyze249.0ms (6%)

sample43.0ms (1%)

simplify106.0ms (2.6%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series128.0ms (3.1%)

simplify63.0ms (1.5%)

prune52.0ms (1.3%)

localize12.0ms (0.3%)

rewrite18.0ms (0.4%)

series453.0ms (11%)

simplify136.0ms (3.3%)

prune67.0ms (1.6%)

localize19.0ms (0.5%)

rewrite11.0ms (0.3%)

series350.0ms (8.5%)

simplify56.0ms (1.4%)

prune58.0ms (1.4%)

localize16.0ms (0.4%)

rewrite10.0ms (0.2%)

series322.0ms (7.8%)

simplify57.0ms (1.4%)

prune47.0ms (1.1%)

regimes143.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (40.8%)

Profiling