Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

325×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ y t) (- z x) 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 t) (- z x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune32.0ms

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: 0.0b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) 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 t) (- z x) x))
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series253.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (fma (/ y t) (- z x) x))
29.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune140.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)
1.3b	(fma (/ y t) (- z x) x)

rewrite3.0ms

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)
26.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune176.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
6.1b	(/ (* y (- z x)) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(* y (- z x))
8.0ms	(/ (* y (- z x)) t)

series116.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ (* y (- z x)) t))
34.0ms	(* y (- z x))
48.0ms	(/ (* y (- z x)) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune161.0ms

Filtered

97 candidates to 57 candidates (58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes78.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample561.0ms

Algorithm

intervals

Results

284.0ms

10675×

body

valid