Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (/ y a) (- z t) 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) (- z t) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- z t) x))
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) 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) (- z t) x))
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)

series295.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma (/ y a) (- z t) x))
42.0ms	(fma (/ y a) (- z t) x)
39.0ms	(fma (/ y a) (- z t) x)
42.0ms	(fma (/ y a) (- z t) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1048	260
3	5001	255

prune153.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) 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) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)

series162.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (/ y a) (- z t) x)
39.0ms	(fma (/ y a) (- z t) x)
42.0ms	(fma (/ y a) (- z t) x)
39.0ms	(fma (/ y a) (- z t) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	271	212
3	1307	212
4	5001	212

prune173.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
7.2b	(/ (* y (- z t)) a)

rewrite18.0ms

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)

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* y (- z t))
49.0ms	(/ (* y (- z t)) a)

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

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

prune120.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	2	0	2
Picked	0	1	1
Done	2	1	3
Total	77	6	83

Merged error: 0b

Counts

83 → 6

regimes263.0ms

Accuracy

28.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample629.0ms

Algorithm

intervals

Results

308.0ms

10686×

body

valid