Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (24.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y a) (- t z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (/ y a) (- t z) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- t z) x))
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y a) (- t z) x))
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series303.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (fma (/ y a) (- t z) x))
43.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5002	255

prune144.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series170.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y a) (- t z) x)
45.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune158.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
5.6b	(/ (* y (- z t)) a)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

7.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) a)

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- z t))
50.0ms	(/ (* y (- z t)) a)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	313	491
1	1415	328
2	5001	322

prune104.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	0	1
Picked	0	1	1
Done	2	1	3
Total	77	5	82

Merged error: 0b

Counts

82 → 5

regimes320.0ms

Accuracy

66.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch87.0ms

Steps

Iters	Range		Point
9	2.8581313333735045e+30	2.3444880623575728e+36	2.906748860302881e+30
8	-4.655406864575198e+68	-2.934539490415412e+65	-2.9784990852586947e+65

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample650.0ms

Algorithm

intervals

Results

342.0ms

10636×

body

valid