Details

analyze295.0ms

Algorithm

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample37.0ms

Algorithm

intervals

Results

12.0ms	198×	body	128	valid
12.0ms	33×	body	1024	valid
3.0ms	15×	body	512	valid
2.0ms	10×	body	256	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune1.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

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

series158.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
66.0ms	(*.f64 z (sin.f64 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5552	497

prune28.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize13.0ms

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))))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))
7.5b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

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)))

series806.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
182.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
180.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
195.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5266	697

prune51.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
31.3b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`cbrt-prod_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `sqr-pow_binary64` `associate-l_binary64` `difference-of-squares_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

series314.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
57.0ms	(*.f64 z (sin.f64 y))
96.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
63.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	1073
1	4990	1073

prune57.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

2.0ms	(sqrt.f64 (sin.f64 y))
2.0ms	(sqrt.f64 (sin.f64 y))
6.0ms	(*.f64 z (sqrt.f64 (sin.f64 y)))
9.0ms	(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt.f64 (sin.f64 y))
24.0ms	(sqrt.f64 (sin.f64 y))
83.0ms	(*.f64 z (sqrt.f64 (sin.f64 y)))
54.0ms	(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5243	805

prune38.0ms

Filtered

47 candidates to 81 candidates (-72.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

457.0ms	1275×	body	1024	valid
404.0ms	5756×	body	128	valid
147.0ms	656×	body	512	valid
45.0ms	307×	body	256	valid
5.0ms	6×	body	2048	valid

Details

analyze295.0ms

sample37.0ms

simplify19.0ms

prune1.0ms

localize9.0ms

rewrite15.0ms

series158.0ms

simplify61.0ms

prune28.0ms

localize13.0ms

rewrite20.0ms

series806.0ms

simplify101.0ms

prune51.0ms

localize12.0ms

rewrite31.0ms

series314.0ms

simplify85.0ms

prune57.0ms

localize11.0ms

rewrite24.0ms

series187.0ms

simplify76.0ms

prune38.0ms

regimes51.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling