Details

analyze1.0ms

Algorithm

Search

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

sample19.0ms

Algorithm

intervals

Results

6.0ms	51×	body	1280	valid
3.0ms	39×	body	640	valid
3.0ms	142×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	4×	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: 27.4b

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)
1.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite14.0ms

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))
1.0ms	(cbrt.f64 x)
8.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series39.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(cbrt.f64 (+.f64 x 1))
15.0ms	(cbrt.f64 x)
19.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4814	463
1	4814	463

prune52.0ms

Filtered

45 candidates to 52 candidates (-15.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 7.6b

Counts

53 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite21.0ms

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)
8.0ms	(-.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)
14.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify29.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4860	640
1	4860	640

prune55.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 7.6b

Counts

76 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.6b	(cbrt.f64 x)
8.4b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div_binary64`
15×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
7×	`flip3-+_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
3×	`pow1/3_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `flip--_binary64`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
1.0ms	(cbrt.f64 x)
15.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
14.0ms	(cbrt.f64 x)
13.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

simplify78.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4962	903
1	4962	903

prune71.0ms

Filtered

59 candidates to 68 candidates (-15.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	65	9	74

Merged error: 7.6b

Counts

74 → 9

localize15.0ms

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))
15.7b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`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`
2×	`pow3_binary64`
1×	`difference-cubes_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
20.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.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:

21.0ms	(cbrt.f64 (cbrt.f64 x))
21.0ms	(cbrt.f64 (cbrt.f64 x))
22.0ms	(cbrt.f64 (cbrt.f64 x))
15.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

simplify29.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4956	623
1	4956	623

prune56.0ms

Filtered

58 candidates to 66 candidates (-13.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	67	8	75

Merged error: 7.6b

Counts

75 → 8

regimes69.0ms

Accuracy

98.3% (0.4b remaining)

Error of 8.4b against oracle of 8.0b and baseline of 29.3b

bsearch17.0ms

Steps

Iters	Range		Point
11	4.54192362511033e-10	15040457871178.86	0.00011771932065748947
5	-7554.019639100288	-2945.802471825511	-3530.6414643320777

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	108	66
1	108	66

end0.0ms

sample546.0ms

Algorithm

intervals

Results

192.0ms	1642×	body	1280	valid
112.0ms	1261×	body	640	valid
95.0ms	4157×	body	80	valid
41.0ms	608×	body	320	valid
14.0ms	332×	body	160	valid

Details

analyze1.0ms

sample19.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series39.0ms

simplify68.0ms

prune52.0ms

localize8.0ms

rewrite21.0ms

series54.0ms

simplify29.0ms

prune55.0ms

localize10.0ms

rewrite31.0ms

series38.0ms

simplify78.0ms

prune71.0ms

localize15.0ms

rewrite26.0ms

series79.0ms

simplify29.0ms

prune56.0ms

regimes69.0ms

bsearch17.0ms

simplify3.0ms

end0.0ms

sample546.0ms

Profiling