Details

analyze244.0ms

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

sample60.0ms

Algorithm

intervals

Results

27.0ms	53×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	129×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	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 x (cos.f64 y))
0.1b	(*.f64 z (sin.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×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 47

Calls

3 calls:

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
32.0ms	(*.f64 x (cos.f64 y))
33.0ms	(*.f64 z (sin.f64 y))

simplify100.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5130	619

prune44.0ms

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

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))))
5.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))
5.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))
5.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite16.0ms

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)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
110.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
111.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4911	706
1	4911	706

prune58.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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

series454.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
107.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
104.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
105.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4995	697
1	4995	697

prune57.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite11.0ms

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 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series350.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify101.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune54.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes59.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	36
1	16	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

665.0ms	1516×	body	1280	valid
361.0ms	1301×	body	640	valid
280.0ms	4253×	body	80	valid
121.0ms	641×	body	320	valid
37.0ms	289×	body	160	valid

Details

analyze244.0ms

sample60.0ms

simplify12.0ms

prune1.0ms

localize9.0ms

rewrite14.0ms

series131.0ms

simplify100.0ms

prune44.0ms

localize13.0ms

rewrite16.0ms

series470.0ms

simplify85.0ms

prune58.0ms

localize13.0ms

rewrite14.0ms

series454.0ms

simplify88.0ms

prune57.0ms

localize13.0ms

rewrite11.0ms

series350.0ms

simplify101.0ms

prune54.0ms

regimes59.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling