Details

analyze259.0ms

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

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune2.0ms

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:

3.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	(.f64 (.f64 y z) z)

series136.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+.f64 x (.f64 (.f64 y z) z))
46.0ms	(.f64 (.f64 y z) z)

simplify96.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4831	376
1	4831	376

prune22.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

localize9.0ms

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:

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

series638.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
144.0ms	(cbrt.f64 z)
161.0ms	(cbrt.f64 z)
170.0ms	(cbrt.f64 z)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune58.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

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))))
18.6b	(cbrt.f64 (.f64 z (.f64 y z)))
18.6b	(cbrt.f64 (.f64 z (.f64 y z)))
18.6b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite25.0ms

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)))
6.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
131.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
149.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
151.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4853	738
1	4853	738

prune51.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

series845.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 z)
203.0ms	(cbrt.f64 (cbrt.f64 z))
200.0ms	(cbrt.f64 (cbrt.f64 z))
290.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

simplify69.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4825	681
1	4825	681

prune62.0ms

Filtered

57 candidates to 75 candidates (-31.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

regimes78.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample395.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	128	valid
15.0ms	671×	body	128	invalid

Details

analyze259.0ms

sample16.0ms

simplify8.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series136.0ms

simplify96.0ms

prune22.0ms

localize9.0ms

rewrite15.0ms

series638.0ms

simplify61.0ms

prune58.0ms

localize9.0ms

rewrite25.0ms

series588.0ms

simplify60.0ms

prune51.0ms

localize14.0ms

rewrite14.0ms

series845.0ms

simplify69.0ms

prune62.0ms

regimes78.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample395.0ms

Profiling