Details

analyze264.0ms

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
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

sample54.0ms

Algorithm

intervals

Results

21.0ms	46×	body	1280	valid
10.0ms	151×	body	80	valid
9.0ms	31×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	9
1	158	9

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(*.f64 x (cos.f64 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
5.0ms	(*.f64 x (cos.f64 y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4868	397
1	4868	397

prune78.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series69.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
14.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
17.0ms	(cbrt.f64 (cos.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5054	469

prune92.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	(cbrt.f64 (cos.f64 y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
24.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4923	527
1	4923	527

prune88.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	79	11	90

Merged error: 0.0b

Counts

90 → 11

localize15.0ms

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))))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite17.0ms

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)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4961	446
1	4961	446

prune56.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	69	12	81

Merged error: 0.0b

Counts

81 → 12

regimes225.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	16
1	42	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

666.0ms	1471×	body	1280	valid
356.0ms	1266×	body	640	valid
298.0ms	4321×	body	80	valid
130.0ms	621×	body	320	valid
45.0ms	321×	body	160	valid

Details

analyze264.0ms

sample54.0ms

simplify10.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series38.0ms

simplify46.0ms

prune78.0ms

localize12.0ms

rewrite13.0ms

series69.0ms

simplify49.0ms

prune92.0ms

localize14.0ms

rewrite17.0ms

series49.0ms

simplify39.0ms

prune88.0ms

localize15.0ms

rewrite17.0ms

series105.0ms

simplify48.0ms

prune56.0ms

regimes225.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling