Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	53	4
2	151	4
3	313	4
4	419	4
5	425	4
6	425	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`sum-log` `distribute-lft-out`
6×	`fma-def`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

2 → 42

Calls

2 calls:

6.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ b (+ c d))
33.0ms	(+ a (+ b (+ c d)))

simplify84.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	180	164
1	707	155
2	4320	155
3	5001	155

prune102.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	8	49

Merged error: 2.3b

Counts

49 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

8.0ms

(+ a (+ (+ b c) d))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ a (+ (+ b c) d))

simplify66.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	117	100
1	484	92
2	3174	92
3	5002	92

prune63.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	22	11	33

Merged error: 2.0b

Counts

33 → 11

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
3×	`fma-def`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

11.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms	(+ a (+ (+ b c) d))

series94.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
38.0ms	(+ a (+ (+ b c) d))

simplify30.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	219	293
1	921	289
2	5002	287

prune123.0ms

Filtered

59 candidates to 32 candidates (54.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	53	17	70

Merged error: 1.9b

Counts

70 → 17

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.8b	(+ (+ a (+ b c)) d)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
21×	`distribute-lft-out`
18×	`cbrt-prod`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
5×	`fma-def`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `cube-mult` `associate-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 55

Calls

2 calls:

8.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
8.0ms	(+ (+ a (+ b c)) d)

series82.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
31.0ms	(+ (+ a (+ b c)) d)

simplify29.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	213	297
1	864	293
2	5002	289

prune96.0ms

Filtered

61 candidates to 37 candidates (60.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	59	19	78

Merged error: 1.6b

Counts

78 → 19

regimes437.0ms

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample740.0ms

Algorithm

intervals

Results

316.0ms	8000×	pre	80	true
204.0ms	8000×	body	80	valid