Details

analyze248.0ms (3.9%)

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)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	53×	body	1024	valid
10.0ms	153×	body	128	valid
7.0ms	34×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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 (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_5215`
6×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `-un-lft-identity_binary64_5193` `associate-l_binary64_5134` `associate-r*_binary64_5133`
2×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-log-exp_binary64_5232` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

2 → 36

Calls

2 calls:

10.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 510 to 143 computations (72% saved)

series159.0ms (2.5%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

76.0ms	(*.f64 z (sin.f64 y))
73.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 486 to 318 computations (34.6% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5002	456

prune51.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	41	11	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	11	53

Error

0.0b

Counts

53 → 11

Compiler

Compiled 824 to 277 computations (66.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.3b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite77.0ms (1.2%)

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)

series928.0ms (14.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

296.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
204.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
202.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
198.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2009 to 1186 computations (41% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4936	821
1	4936	821

prune85.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Error

0.0b

Counts

94 → 13

Compiler

Compiled 2147 to 496 computations (76.9% 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)

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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)

series338.0ms (5.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
82.0ms	(cbrt.f64 z)
76.0ms	(cbrt.f64 z)
76.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune76.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	85	13	98

Error

0.0b

Counts

98 → 13

Compiler

Compiled 1790 to 511 computations (71.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) x))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) x))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) x))

rewrite74.0ms (1.2%)

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

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.0s (16.3%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

311.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
235.0ms	(cbrt.f64 (*.f64 (cos.f64 y) x))
229.0ms	(cbrt.f64 (*.f64 (cos.f64 y) x))
222.0ms	(cbrt.f64 (*.f64 (cos.f64 y) x))

Compiler

Compiled 2366 to 1404 computations (40.7% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4995	919
1	4995	919

prune79.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	87	15	102

Error

0.0b

Counts

102 → 15

Compiler

Compiled 2082 to 402 computations (80.7% saved)

regimes347.0ms (5.5%)

Accuracy

Total 0.1b remaining (77.7%)

Threshold costs 0.1b (77.7%)

Compiler

Compiled 3996 to 2386 computations (40.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.2s (35.2%)

Algorithm

1×

intervals

Results

555.0ms	1974×	body	1024	valid
303.0ms	4491×	body	128	valid
189.0ms	978×	body	512	valid
70.0ms	553×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 1012 to 608 computations (39.9% saved)

Details

analyze248.0ms (3.9%)

sample45.0ms (0.7%)

simplify98.0ms (1.5%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite48.0ms (0.8%)

series159.0ms (2.5%)

simplify68.0ms (1.1%)

prune51.0ms (0.8%)

localize12.0ms (0.2%)

rewrite77.0ms (1.2%)

series928.0ms (14.7%)

simplify69.0ms (1.1%)

prune85.0ms (1.3%)

localize11.0ms (0.2%)

rewrite73.0ms (1.2%)

series338.0ms (5.4%)

simplify77.0ms (1.2%)

prune76.0ms (1.2%)

localize11.0ms (0.2%)

rewrite74.0ms (1.2%)

series1.0s (16.3%)

simplify67.0ms (1.1%)

prune79.0ms (1.3%)

regimes347.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (35.2%)

Profiling