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
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	21×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 x (.f64 (.f64 y z) z))
6.0ms	(.f64 (.f64 y z) z)

series22.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 x (.f64 (.f64 y z) z))
7.0ms	(.f64 (.f64 y z) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune44.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	8	36

Merged error: 0.0b

Counts

36 → 8

localize11.0ms

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)

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
14.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune83.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
20.2b	(cbrt.f64 (.f64 z (.f64 y z)))
20.2b	(cbrt.f64 (.f64 z (.f64 y z)))
20.2b	(cbrt.f64 (.f64 z (.f64 y z)))

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 (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
17.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
17.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
19.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4888	487
1	4888	487

prune73.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
9.7b	(cbrt.f64 (*.f64 z y))
20.2b	(cbrt.f64 (.f64 z (.f64 y z)))
20.2b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
5×	`*-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 → 38

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (*.f64 z y))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
12.0ms	(cbrt.f64 (*.f64 z y))
17.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
17.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5431	277

prune39.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	5	5
Picked	0	1	1
Done	1	2	3
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

regimes299.0ms

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	9	7
1	9	7

end0.0ms

sample381.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
15.0ms	645×	body	80	invalid

Details

analyze263.0ms

sample15.0ms

simplify5.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series22.0ms

simplify81.0ms

prune44.0ms

localize11.0ms

rewrite11.0ms

series61.0ms

simplify49.0ms

prune83.0ms

localize9.0ms

rewrite19.0ms

series77.0ms

simplify46.0ms

prune73.0ms

localize14.0ms

rewrite12.0ms

series62.0ms

simplify48.0ms

prune39.0ms

regimes299.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample381.0ms

Profiling