Details

analyze293.0ms

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

sample47.0ms

Algorithm

intervals

Results

17.0ms	38×	body	1280	valid
11.0ms	180×	body	80	valid
5.0ms	17×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	10×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune3.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 x (cos.f64 y))
7.0ms	(*.f64 z (sin.f64 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5069	209

prune32.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

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 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series65.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune56.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

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))))
8.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite19.0ms

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)))
5.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
24.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
24.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
24.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	446
1	4961	446

prune44.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
8.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite10.0ms

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 z)
2.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 (sin.f64 y))
24.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	279
1	4939	279

prune24.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	52	7	59

Merged error: 0.0b

Counts

59 → 7

regimes173.0ms

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	36	9
1	36	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

466.0ms	1002×	body	1280	valid
353.0ms	5554×	body	80	valid
232.0ms	808×	body	640	valid
84.0ms	424×	body	320	valid
30.0ms	212×	body	160	valid

Details

analyze293.0ms

sample47.0ms

simplify14.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series13.0ms

simplify66.0ms

prune32.0ms

localize13.0ms

rewrite13.0ms

series65.0ms

simplify50.0ms

prune56.0ms

localize13.0ms

rewrite19.0ms

series109.0ms

simplify52.0ms

prune44.0ms

localize17.0ms

rewrite10.0ms

series79.0ms

simplify70.0ms

prune24.0ms

regimes173.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling