Details

analyze440.0ms (13.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample36.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	47×	body	1024	valid
11.0ms	184×	body	128	valid
3.0ms	16×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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 x (sin.f64 y))
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_5232`
7×	`*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
5×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-exp-log_binary64_5231` `pow1_binary64_5254`
4×	`sum-log_binary64_5284`
3×	`associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`flip-+_binary64_5167` `+-commutative_binary64_5123` `flip3-+_binary64_5196`
1×	`pow-prod-down_binary64_5264` `associate-+l+_binary64_5126` `*-commutative_binary64_5124` `distribute-lft-out_binary64_5144` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

3 → 43

Calls

3 calls:

8.0ms	(*.f64 z (cos.f64 y))
7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.0ms	(+.f64 x (sin.f64 y))

series94.0ms (3%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.0ms	(*.f64 z (cos.f64 y))
20.0ms	(+.f64 x (sin.f64 y))

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4973	626
1	4973	626

prune45.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Error

0.0b

Counts

53 → 6

Compiler

Compiled 779 to 204 computations (73.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_5232`
7×	`*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
5×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-exp-log_binary64_5231` `pow1_binary64_5254`
4×	`sum-log_binary64_5284`
3×	`associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`flip-+_binary64_5167` `+-commutative_binary64_5123` `flip3-+_binary64_5196`
1×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `distribute-lft-out_binary64_5144` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226` `associate-+r+_binary64_5125`

Counts

3 → 43

Calls

3 calls:

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

series113.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
42.0ms	(+.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
27.0ms	(*.f64 z (cos.f64 y))

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4992	726
1	4992	726

prune36.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Error

0.0b

Counts

58 → 6

Compiler

Compiled 794 to 216 computations (72.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.5%)

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

series426.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
100.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
99.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
98.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5314	719

prune62.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Error

0.0b

Counts

76 → 6

Compiler

Compiled 1707 to 367 computations (78.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_5215`
13×	`sqrt-prod_binary64_5209` `pow1_binary64_5254`
12×	`associate-r_binary64_5133`
11×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231`
4×	`associate-l_binary64_5134` `pow-prod-down_binary64_5264` `add-log-exp_binary64_5232` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
2×	`pow1/2_binary64_5273` `*-commutative_binary64_5124` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `unswap-sqr_binary64_5161`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
5.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms	(sqrt.f64 (cos.f64 y))
1.0ms	(sqrt.f64 (cos.f64 y))

series102.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
34.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
13.0ms	(sqrt.f64 (cos.f64 y))
12.0ms	(sqrt.f64 (cos.f64 y))

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4867	716
1	4867	716

prune53.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Error

0.0b

Counts

87 → 6

Compiler

Compiled 1335 to 266 computations (80.1% saved)

regimes87.0ms (2.7%)

Accuracy

Total 0.0b remaining (51.5%)

Threshold costs 0.0b (51.5%)

Compiler

Compiled 620 to 466 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.3s (41.1%)

Algorithm

1×

intervals

Results

361.0ms	5644×	body	128	valid
354.0ms	1358×	body	1024	valid
121.0ms	637×	body	512	valid
49.0ms	358×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 168 to 128 computations (23.8% saved)

Details

analyze440.0ms (13.9%)

sample36.0ms (1.1%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite22.0ms (0.7%)

series94.0ms (3%)

simplify66.0ms (2.1%)

prune45.0ms (1.4%)

localize8.0ms (0.2%)

rewrite17.0ms (0.5%)

series113.0ms (3.6%)

simplify52.0ms (1.6%)

prune36.0ms (1.2%)

localize12.0ms (0.4%)

rewrite17.0ms (0.5%)

series426.0ms (13.4%)

simplify55.0ms (1.7%)

prune62.0ms (2%)

localize10.0ms (0.3%)

rewrite23.0ms (0.7%)

series102.0ms (3.2%)

simplify71.0ms (2.2%)

prune53.0ms (1.7%)

regimes87.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (41.1%)

Profiling