Details

analyze288.0ms

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

sample50.0ms

Algorithm

intervals

Results

16.0ms	36×	body	1280	valid
11.0ms	28×	body	640	valid
11.0ms	180×	body	80	valid
1.0ms	7×	body	320	valid
1.0ms	5×	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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`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` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+.f64 x (cos.f64 y))
7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 x (cos.f64 y))
14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms	(*.f64 z (sin.f64 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5209	415

prune46.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 0b

Counts

53 → 7

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)

rewrite15.0ms

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:

9.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series68.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune51.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite14.0ms

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:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series71.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
16.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune43.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
15.0ms	(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (+.f64 x (cos.f64 y))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
18.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
18.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
23.0ms	(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (+.f64 x (cos.f64 y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4929	1228
1	4929	1228

prune52.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes153.0ms

Accuracy

0% (0.3b 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	58	16
1	58	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

430.0ms	976×	body	1280	valid
366.0ms	5586×	body	80	valid
237.0ms	821×	body	640	valid
78.0ms	400×	body	320	valid
29.0ms	217×	body	160	valid

Details

analyze288.0ms

sample50.0ms

simplify14.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series28.0ms

simplify67.0ms

prune46.0ms

localize13.0ms

rewrite15.0ms

series68.0ms

simplify56.0ms

prune51.0ms

localize15.0ms

rewrite14.0ms

series71.0ms

simplify60.0ms

prune43.0ms

localize14.0ms

rewrite28.0ms

series79.0ms

simplify73.0ms

prune52.0ms

regimes153.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling