Details

analyze271.0ms

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

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	25×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune4.0ms

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))
5.0ms	(.f64 (.f64 y z) z)

series24.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 x (.f64 (.f64 y z) z))
8.0ms	(.f64 (.f64 y z) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune27.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

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:

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)
20.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune45.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
17×	`*-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 → 79

Calls

4 calls:

1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))

series76.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
24.0ms	(cbrt.f64 (cbrt.f64 z))
21.0ms	(cbrt.f64 (cbrt.f64 z))

simplify32.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4937	458
1	4937	458

prune57.0ms

Filtered

73 candidates to 91 candidates (-24.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	90	7	97

Merged error: 0b

Counts

97 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
12×	`*-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 → 56

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (cbrt.f64 z))
23.0ms	(cbrt.f64 (cbrt.f64 z))
21.0ms	(cbrt.f64 (cbrt.f64 z))
21.0ms	(cbrt.f64 (cbrt.f64 z))

simplify91.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4813	376
1	4813	376

prune39.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	7	75

Merged error: 0b

Counts

75 → 7

regimes198.0ms

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

sample386.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
15.0ms	634×	body	80	invalid

Details

analyze271.0ms

sample17.0ms

simplify5.0ms

prune4.0ms

localize5.0ms

rewrite10.0ms

series24.0ms

simplify79.0ms

prune27.0ms

localize9.0ms

rewrite12.0ms

series65.0ms

simplify45.0ms

prune45.0ms

localize14.0ms

rewrite13.0ms

series76.0ms

simplify32.0ms

prune57.0ms

localize21.0ms

rewrite8.0ms

series87.0ms

simplify91.0ms

prune39.0ms

regimes198.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample386.0ms

Profiling