Details

analyze254.0ms

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

sample55.0ms

Algorithm

intervals

Results

22.0ms	50×	body	1280	valid
11.0ms	40×	body	640	valid
8.0ms	132×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	12×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	160	14
1	160	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: 0.1b

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))
0.1b	(*.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))
4.0ms	(*.f64 x (cos.f64 y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
29.0ms	(*.f64 z (sin.f64 y))
34.0ms	(*.f64 x (cos.f64 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	627
1	4963	627

prune42.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize14.0ms

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))))
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)))

rewrite15.0ms

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:

5.0ms	(.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)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
103.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
108.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
107.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4911	706
1	4911	706

prune57.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 40

Calls

4 calls:

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

series373.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt.f64 (sin.f64 y))
86.0ms	(cbrt.f64 z)
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4924	459
1	4924	459

prune50.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
5.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt.f64 (sin.f64 y))
82.0ms	(cbrt.f64 z)
87.0ms	(cbrt.f64 z)
107.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4924	414
1	4924	414

prune43.0ms

Filtered

43 candidates to 54 candidates (-25.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	53	9	62

Merged error: 0.0b

Counts

62 → 9

regimes63.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	84	40
1	84	40

end0.0ms

sample1.7s

Algorithm

intervals

Results

694.0ms	1508×	body	1280	valid
361.0ms	1299×	body	640	valid
282.0ms	4265×	body	80	valid
119.0ms	634×	body	320	valid
39.0ms	294×	body	160	valid

Details

analyze254.0ms

sample55.0ms

simplify19.0ms

prune1.0ms

localize9.0ms

rewrite14.0ms

series128.0ms

simplify71.0ms

prune42.0ms

localize14.0ms

rewrite15.0ms

series457.0ms

simplify84.0ms

prune57.0ms

localize17.0ms

rewrite9.0ms

series373.0ms

simplify89.0ms

prune50.0ms

localize18.0ms

rewrite10.0ms

series352.0ms

simplify86.0ms

prune43.0ms

regimes63.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.7s

Profiling