Details

analyze176.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid
0.0ms	2×	body	80	nan

simplify258.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	4888	12
1	4888	12

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
10.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
14.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4900	681
1	4900	681

prune79.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity_binary64`
93×	`cbrt-prod_binary64`
60×	`distribute-lft-out_binary64`
41×	`pow1_binary64`
30×	`swap-sqr_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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 → 131

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
20.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
13.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
12.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
21.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

simplify60.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4951	2583
1	4951	2583

prune175.0ms

Filtered

80 candidates to 143 candidates (-78.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	143	8	151

Merged error: 0.0b

Counts

151 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

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 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series62.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune89.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-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 → 50

Calls

4 calls:

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
21.0ms	(cbrt.f64 (cbrt.f64 y))
23.0ms	(cbrt.f64 (cbrt.f64 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5118	284

prune65.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

regimes403.0ms

Accuracy

0% (0.1b 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	25	12
1	25	12

end0.0ms

sample545.0ms

Algorithm

intervals

Results

354.0ms	8000×	body	80	valid
13.0ms	303×	body	80	invalid
3.0ms	71×	body	80	nan

Details

analyze176.0ms

sample21.0ms

simplify258.0ms

prune3.0ms

localize13.0ms

rewrite27.0ms

series36.0ms

simplify50.0ms

prune79.0ms

localize13.0ms

rewrite51.0ms

series59.0ms

simplify60.0ms

prune175.0ms

localize13.0ms

rewrite11.0ms

series62.0ms

simplify47.0ms

prune89.0ms

localize18.0ms

rewrite7.0ms

series73.0ms

simplify41.0ms

prune65.0ms

regimes403.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample545.0ms

Profiling