Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample19.0ms

Algorithm

intervals

Results

7.0ms	57×	body	1280	valid
3.0ms	38×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	17×	body	320	valid
0.0ms	11×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune2.0ms

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: 29.4b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 43

Calls

3 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(cbrt.f64 x)
13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series33.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(cbrt.f64 (+.f64 x 1))
15.0ms	(cbrt.f64 x)
13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify69.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4814	463
1	4814	463

prune51.0ms

Filtered

45 candidates to 52 candidates (-15.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 9.5b

Counts

53 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
6×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip--_binary64`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series54.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify30.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4860	640
1	4860	640

prune57.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 9.5b

Counts

77 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
21.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (cbrt.f64 x))
21.0ms	(cbrt.f64 (cbrt.f64 x))
21.0ms	(cbrt.f64 (cbrt.f64 x))
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5151	450

prune42.0ms

Filtered

55 candidates to 65 candidates (-18.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Merged error: 9.5b

Counts

72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
22.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 (cbrt.f64 x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
2.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
2.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 (cbrt.f64 x))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
23.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
21.0ms	(cbrt.f64 (cbrt.f64 (cbrt.f64 x)))
13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 (cbrt.f64 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	608
1	4894	608

prune47.0ms

Filtered

65 candidates to 74 candidates (-13.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	75	7	82

Merged error: 0.3b

Counts

82 → 7

regimes63.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 29.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	44
1	78	44

end0.0ms

sample540.0ms

Algorithm

intervals

Results

194.0ms	1717×	body	1280	valid
108.0ms	1227×	body	640	valid
99.0ms	4114×	body	80	valid
38.0ms	611×	body	320	valid
14.0ms	331×	body	160	valid

Details

analyze1.0ms

sample19.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite19.0ms

series33.0ms

simplify69.0ms

prune51.0ms

localize8.0ms

rewrite22.0ms

series54.0ms

simplify30.0ms

prune57.0ms

localize11.0ms

rewrite15.0ms

series79.0ms

simplify50.0ms

prune42.0ms

localize14.0ms

rewrite19.0ms

series79.0ms

simplify50.0ms

prune47.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample540.0ms

Profiling