Details

analyze1.0ms

Algorithm

Search

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

sample21.0ms

Algorithm

intervals

Results

6.0ms	50×	body	1280	valid
4.0ms	43×	body	640	valid
3.0ms	134×	body	80	valid
1.0ms	21×	body	320	valid
0.0ms	8×	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: 29.7b

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)
2.9b	(-.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))

series44.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt.f64 (+.f64 x 1))
19.0ms	(cbrt.f64 x)
19.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4814	463
1	4814	463

prune81.0ms

Filtered

45 candidates to 52 candidates (-15.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Merged error: 6.7b

Counts

53 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
12×	`difference-of-squares_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `sqr-pow_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series54.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
6.0ms	(cbrt.f64 (+.f64 x 1))
18.0ms	(cbrt.f64 x)
14.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4890	994
1	4890	994

prune88.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 6.6b

Counts

100 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
22.9b	(-.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

9×	`cbrt-prod_binary64`
7×	`*-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 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
14.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5201	324

prune61.0ms

Filtered

43 candidates to 56 candidates (-30.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 6.6b

Counts

65 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
11.0b	(-.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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
14.0ms	(-.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))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 x 1))
8.0ms	(cbrt.f64 (+.f64 x 1))
18.0ms	(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))

simplify71.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	513
1	4873	513

prune71.0ms

Filtered

53 candidates to 62 candidates (-17.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	61	10	71

Merged error: 6.6b

Counts

71 → 10

regimes103.0ms

Accuracy

98.2% (0.4b remaining)

Error of 9.0b against oracle of 8.6b and baseline of 29.8b

bsearch21.0ms

Steps

Iters	Range		Point
8	7.2691042280114116e-09	2.086968805494545e-06	8.308058553943675e-07
10	-115598.13308486647	-5.151947114454621e-12	-3037.243172140669

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	101	68
1	101	68

end0.0ms

sample568.0ms

Algorithm

intervals

Results

211.0ms	1780×	body	1280	valid
116.0ms	1248×	body	640	valid
97.0ms	4091×	body	80	valid
37.0ms	567×	body	320	valid
16.0ms	314×	body	160	valid

Details

analyze1.0ms

sample21.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series44.0ms

simplify70.0ms

prune81.0ms

localize8.0ms

rewrite26.0ms

series54.0ms

simplify47.0ms

prune88.0ms

localize9.0ms

rewrite15.0ms

series69.0ms

simplify53.0ms

prune61.0ms

localize10.0ms

rewrite22.0ms

series47.0ms

simplify71.0ms

prune71.0ms

regimes103.0ms

bsearch21.0ms

simplify3.0ms

end0.0ms

sample568.0ms

Profiling