Details

sample25.0ms

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.6b	(+ 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:

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ b (+ c d))
35.0ms	(+ a (+ b (+ c d)))

simplify83.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (5.0ms)

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

prune100.0ms

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: 2.1b

Counts

49 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite8.0ms

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))

simplify64.0ms

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

prune67.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	3	4	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:

0.0b	(log1p (expm1 (+ a (+ (+ b c) d))))
0.1b	(expm1 (+ a (+ (+ b c) d)))
2.6b	(+ 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` `add-cube-cbrt` `log1p-expm1-u`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube`
1×	`+-commutative` `associate-+r+` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `flip-+` `expm1-udef`

Counts

3 → 44

Calls

3 calls:

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

series129.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(log1p (expm1 (+ a (+ (+ b c) d))))
42.0ms	(expm1 (+ a (+ (+ b c) d)))
29.0ms	(+ a (+ (+ b c) d))

simplify78.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	152	227
1	603	203
2	4049	202
3	5001	202

prune128.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	49	16	65

Merged error: 1.8b

Counts

65 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (+ d (+ a (+ b c))))
0.5b	(cbrt (pow (expm1 (+ d (+ a (+ b c)))) 3))
0.7b	(pow (expm1 (+ d (+ a (+ b c)))) 3)
2.6b	(+ d (+ a (+ b c)))

rewrite18.0ms

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` `add-cbrt-cube` `log1p-expm1-u`
4×	`expm1-log1p-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `expm1-log1p` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `rem-cbrt-cube` `flip-+` `expm1-udef` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

1.0ms	(expm1 (+ d (+ a (+ b c))))
2.0ms	(cbrt (pow (expm1 (+ d (+ a (+ b c)))) 3))
2.0ms	(pow (expm1 (+ d (+ a (+ b c)))) 3)
11.0ms	(+ d (+ a (+ b c)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(expm1 (+ d (+ a (+ b c))))
46.0ms	(cbrt (pow (expm1 (+ d (+ a (+ b c)))) 3))
128.0ms	(pow (expm1 (+ d (+ a (+ b c)))) 3)
30.0ms	(+ d (+ a (+ b c)))

simplify33.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	218	540
1	864	507
2	5001	501

prune190.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	11	3	14
Picked	1	0	1
Done	0	1	1
Total	100	9	109

Merged error: 0.3b

Counts

109 → 9

regimes244.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample574.0ms

Algorithm

intervals

Results

186.0ms	8000×	pre	80	true
182.0ms	8000×	body	80	valid