Details

sample22.0ms

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: 3.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite17.0ms

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:

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

series43.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ b (+ c d))
29.0ms	(+ a (+ b (+ c d)))

simplify82.0ms

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

prune106.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	9	49

Merged error: 2.1b

Counts

49 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ 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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify64.0ms

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

prune71.0ms

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	4	4	8
Picked	1	0	1
Done	0	0	0
Total	22	12	34

Merged error: 1.8b

Counts

34 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite18.0ms

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:

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

59 → 59

Iterations

Useful iterations: 2 (24.0ms)

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

prune133.0ms

Filtered

59 candidates to 32 candidates (54.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	53	18	71

Merged error: 1.8b

Counts

71 → 18

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

8.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
13.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
8.0ms	(+ a (+ (+ b c) d))

series134.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
53.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
28.0ms	(+ a (+ (+ b c) d))

simplify36.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	353	726
1	1058	719
2	5002	715

prune145.0ms

Filtered

123 candidates to 45 candidates (36.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	121	20	141

Merged error: 1.8b

Counts

141 → 20

regimes574.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	4
1	20	4
2	20	4

end0.0ms

sample546.0ms

Algorithm

intervals

Results

183.0ms	8000×	pre	80	true
167.0ms	8000×	body	80	valid