Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify18.0ms

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: 3.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite14.0ms

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:

5.0ms	(+ b (+ c d))
8.0ms	(+ a (+ b (+ c d)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ b (+ c d))
33.0ms	(+ a (+ b (+ c d)))

simplify82.0ms

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: 2.2b

Counts

49 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ 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 (5.0ms)

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

prune95.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	16	9	25
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	21	12	33

Merged error: 1.9b

Counts

33 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(log1p (+ a (+ (+ b c) d)))
0.1b	(expm1 (log1p (+ a (+ (+ b c) d))))
2.7b	(+ a (+ (+ b c) d))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

1.0ms	(log1p (+ a (+ (+ b c) d)))
1.0ms	(expm1 (log1p (+ a (+ (+ b c) d))))
8.0ms	(+ a (+ (+ b c) d))

series279.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(log1p (+ a (+ (+ b c) d)))
144.0ms	(expm1 (log1p (+ a (+ (+ b c) d))))
29.0ms	(+ a (+ (+ b c) d))

simplify97.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	210	260
1	757	234
2	4424	213
3	5001	211

prune137.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	47	18	65

Merged error: 1.8b

Counts

65 → 18

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(log1p (+ a (+ (+ b c) d)))
0.7b	(cbrt (pow (log1p (+ a (+ (+ b c) d))) 3))
0.7b	(pow (log1p (+ a (+ (+ b c) d))) 3)
2.7b	(+ a (+ (+ b c) d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

1.0ms	(log1p (+ a (+ (+ b c) d)))
2.0ms	(cbrt (pow (log1p (+ a (+ (+ b c) d))) 3))
2.0ms	(pow (log1p (+ a (+ (+ b c) d))) 3)
9.0ms	(+ a (+ (+ b c) d))

series1.3s

Counts

4 → 12

Calls

4 calls:

111.0ms	(log1p (+ a (+ (+ b c) d)))
107.0ms	(cbrt (pow (log1p (+ a (+ (+ b c) d))) 3))
1.1s	(pow (log1p (+ a (+ (+ b c) d))) 3)
32.0ms	(+ a (+ (+ b c) d))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	445	645
1	2037	606
2	5003	597

prune206.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	2	14	16
Picked	1	0	1
Done	1	0	1
Total	86	25	111

Merged error: 1.7b

Counts

111 → 25

regimes600.0ms

Accuracy

0% (1.5b remaining)

Error of 3.3b against oracle of 1.8b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample551.0ms

Algorithm

intervals

Results

188.0ms	8000×	pre	80	true
167.0ms	8000×	body	80	valid