Details

analyze263.0ms

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

sample66.0ms

Algorithm

intervals

Results

33.0ms	60×	body	1280	valid
10.0ms	35×	body	640	valid
9.0ms	135×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune2.0ms

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))

rewrite15.0ms

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

series32.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	(*.f64 x (cos.f64 y))
8.0ms	(*.f64 z (sin.f64 y))

simplify76.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5163	392

prune56.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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))

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

series66.0ms

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))
14.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5054	469

prune60.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 0b

Counts

95 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

series68.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
19.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune59.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 0b

Counts

95 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(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))

series70.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
18.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune36.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0b

Counts

95 → 10

regimes156.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

734.0ms	1599×	body	1280	valid
384.0ms	1312×	body	640	valid
300.0ms	4182×	body	80	valid
120.0ms	608×	body	320	valid
45.0ms	299×	body	160	valid

Details

analyze263.0ms

sample66.0ms

simplify6.0ms

prune2.0ms

localize9.0ms

rewrite15.0ms

series32.0ms

simplify76.0ms

prune56.0ms

localize17.0ms

rewrite14.0ms

series66.0ms

simplify59.0ms

prune60.0ms

localize13.0ms

rewrite12.0ms

series68.0ms

simplify57.0ms

prune59.0ms

localize14.0ms

rewrite14.0ms

series70.0ms

simplify55.0ms

prune36.0ms

regimes156.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling