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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune3.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))
8.0ms	(.f64 (.f64 y z) z)

series95.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+.f64 x (.f64 (.f64 y z) z))
38.0ms	(.f64 (.f64 y z) z)

simplify126.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4830	376
1	4830	376

prune22.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize12.0ms

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))))
20.5b	(cbrt.f64 (.f64 z (.f64 y z)))
20.5b	(cbrt.f64 (.f64 z (.f64 y z)))
20.5b	(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)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
76.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
79.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
84.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4899	738
1	4899	738

prune57.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
9.2b	(cbrt.f64 (*.f64 z y))
20.5b	(cbrt.f64 (.f64 z (.f64 y z)))
20.5b	(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)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 z)
59.0ms	(cbrt.f64 (*.f64 z y))
78.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
78.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5411	433

prune36.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) 5)
20.5b	(cbrt.f64 (.f64 z (.f64 z y)))
20.5b	(cbrt.f64 (.f64 z (.f64 y z)))
20.5b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_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 → 49

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) 5)
4.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) 5)
81.0ms	(cbrt.f64 (.f64 z (.f64 z y)))
79.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
82.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify159.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4834	848
1	4834	848

prune52.0ms

Filtered

47 candidates to 61 candidates (-29.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample380.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
15.0ms	669×	body	80	invalid

Details

analyze263.0ms

sample14.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series95.0ms

simplify126.0ms

prune22.0ms

localize12.0ms

rewrite19.0ms

series343.0ms

simplify82.0ms

prune57.0ms

localize14.0ms

rewrite12.0ms

series304.0ms

simplify84.0ms

prune36.0ms

localize18.0ms

rewrite16.0ms

series434.0ms

simplify159.0ms

prune52.0ms

regimes64.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample380.0ms

Profiling