Details

analyze717.0ms (10.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	56
1	765	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14
88.5%	11.3%	0.1%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample179.0ms (2.6%)

Algorithm

2×

intervals

Results

23.0ms	371×	body	128	valid
22.0ms	83×	body	1024	valid
6.0ms	35×	body	512	valid
3.0ms	22×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 2589 to 3104 computations (-19.9% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_5232`
6×	`add-sqr-sqrt_binary64_5215`
4×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
3×	`associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`diff-log_binary64_5285`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124` `sum-log_binary64_5284` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159` `associate--l+_binary64_5130`

Counts

2 → 32

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 508 to 120 computations (76.4% saved)

series381.0ms (5.6%)

Error

0.0b

Counts

2 → 25

Calls

2 calls:

276.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 561 to 372 computations (33.7% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5383	700

prune53.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Error

0.0b

Counts

58 → 6

Compiler

Compiled 756 to 186 computations (75.4% saved)

localize12.0ms (0.2%)

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))))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite87.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

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)))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.4s (20.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

444.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
325.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
309.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
298.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2009 to 1186 computations (41% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4936	821
1	4936	821

prune92.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 1967 to 382 computations (80.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
6.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b	(cbrt.f64 (*.f64 (sin.f64 y) z))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 40

Calls

4 calls:

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

Compiler

Compiled 1112 to 235 computations (78.9% saved)

series845.0ms (12.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

307.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
302.0ms	(cbrt.f64 (*.f64 (sin.f64 y) z))
120.0ms	(cbrt.f64 z)
94.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1454 to 866 computations (40.4% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5163	463

prune67.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	58	5	63

Error

0.0b

Counts

63 → 5

Compiler

Compiled 1518 to 267 computations (82.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite81.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 73

Calls

4 calls:

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

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series501.0ms (7.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

135.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
130.0ms	(cbrt.f64 z)
115.0ms	(cbrt.f64 z)
108.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune77.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes205.0ms (3%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Compiler

Compiled 1768 to 1206 computations (31.8% 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%)

sample1.6s (24.2%)

Algorithm

1×

intervals

Results

373.0ms	1351×	body	1024	valid
370.0ms	5686×	body	128	valid
120.0ms	624×	body	512	valid
45.0ms	337×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 455 to 313 computations (31.2% saved)

Details

analyze717.0ms (10.5%)

sample179.0ms (2.6%)

simplify16.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite46.0ms (0.7%)

series381.0ms (5.6%)

simplify67.0ms (1%)

prune53.0ms (0.8%)

localize12.0ms (0.2%)

rewrite87.0ms (1.3%)

series1.4s (20.7%)

simplify61.0ms (0.9%)

prune92.0ms (1.3%)

localize20.0ms (0.3%)

rewrite59.0ms (0.9%)

series845.0ms (12.4%)

simplify82.0ms (1.2%)

prune67.0ms (1%)

localize11.0ms (0.2%)

rewrite81.0ms (1.2%)

series501.0ms (7.4%)

simplify73.0ms (1.1%)

prune77.0ms (1.1%)

regimes205.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (24.2%)

Profiling