Details

analyze191.0ms

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

sample22.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid
0.0ms	2×	body	80	nan

simplify260.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

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

localize9.0ms

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)))

rewrite31.0ms

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))))
14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
15.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4900	681
1	4900	681

prune80.0ms

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

localize14.0ms

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))))

rewrite54.0ms

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:

8.0ms	(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)))
21.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
14.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
13.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
23.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4951	2583
1	4951	2583

prune177.0ms

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

localize14.0ms

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)

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:

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
15.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
15.0ms	(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

prune94.0ms

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))

series79.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
25.0ms	(cbrt.f64 (cbrt.f64 y))
23.0ms	(cbrt.f64 (cbrt.f64 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5118	284

prune67.0ms

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

regimes430.0ms

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

sample573.0ms

Algorithm

intervals

Results

371.0ms	8000×	body	80	valid
13.0ms	303×	body	80	invalid
3.0ms	71×	body	80	nan

Details

analyze191.0ms

sample22.0ms

simplify260.0ms

prune3.0ms

localize9.0ms

rewrite31.0ms

series39.0ms

simplify51.0ms

prune80.0ms

localize14.0ms

rewrite54.0ms

series64.0ms

simplify57.0ms

prune177.0ms

localize14.0ms

rewrite12.0ms

series67.0ms

simplify47.0ms

prune94.0ms

localize18.0ms

rewrite7.0ms

series79.0ms

simplify42.0ms

prune67.0ms

regimes430.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample573.0ms

Profiling