Details

analyze2.0ms

Algorithm

Search

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

sample30.0ms

Algorithm

intervals

Results

7.0ms	57×	body	1280	valid
4.0ms	41×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	18×	body	320	valid
0.0ms	7×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune5.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.7b	(-.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)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(cbrt.f64 (+.f64 x 1))
85.0ms	(cbrt.f64 x)
61.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5010	762

prune187.0ms

Filtered

45 candidates to 52 candidates (-15.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 9.0b

Counts

53 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.7b	(-.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)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series287.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
62.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
56.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5137	1054

prune222.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Merged error: 9.0b

Counts

75 → 5

localize16.0ms

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)
10.0b	(-.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))

rewrite23.0ms

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))

series200.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (+.f64 x 1))
27.0ms	(cbrt.f64 (+.f64 x 1))
84.0ms	(cbrt.f64 x)
62.0ms	(-.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))

simplify56.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5077	1085

prune238.0ms

Filtered

54 candidates to 62 candidates (-14.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 9.0b

Counts

67 → 6

localize24.0ms

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)
10.0b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))

rewrite46.0ms

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)
37.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))

series204.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (+.f64 x 1))
27.0ms	(cbrt.f64 (+.f64 x 1))
86.0ms	(cbrt.f64 x)
65.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5045	1133

prune240.0ms

Filtered

54 candidates to 62 candidates (-14.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	61	7	68

Merged error: 9.0b

Counts

68 → 7

regimes91.0ms

Accuracy

98.3% (0.4b remaining)

Error of 8.7b against oracle of 8.3b and baseline of 29.6b

bsearch51.0ms

Steps

Iters	Range		Point
8	3612614981043809/4611686018427387904	6289872145628721/9007199254740992	0.0011318025639599938
10	-9735655000622098432	-1136656558379645/549755813888	-3472.807911283923

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	108	127
1	108	127

end0.0ms

sample591.0ms

Algorithm

intervals

Results

201.0ms	1674×	body	1280	valid
118.0ms	1257×	body	640	valid
99.0ms	4134×	body	80	valid
42.0ms	599×	body	320	valid
15.0ms	336×	body	160	valid

Details

analyze2.0ms

sample30.0ms

simplify15.0ms

prune5.0ms

localize9.0ms

rewrite14.0ms

series170.0ms

simplify53.0ms

prune187.0ms

localize12.0ms

rewrite21.0ms

series287.0ms

simplify68.0ms

prune222.0ms

localize16.0ms

rewrite23.0ms

series200.0ms

simplify56.0ms

prune238.0ms

localize24.0ms

rewrite46.0ms

series204.0ms

simplify61.0ms

prune240.0ms

regimes91.0ms

bsearch51.0ms

simplify4.0ms

end0.0ms

sample591.0ms

Profiling