Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))

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 (- 1.0 x) y (* x z))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma (- 1.0 x) y (* x z))

simplify95.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	35	65
1	74	52
2	313	52
3	1717	52
4	5001	52

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))
0.6b	(cbrt (fma (- 1.0 x) y (* x z)))
0.6b	(cbrt (fma (- 1.0 x) y (* x z)))
0.6b	(cbrt (fma (- 1.0 x) y (* x z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

10.0ms	(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))
1.0ms	(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms	(cbrt (fma (- 1.0 x) y (* x z)))
1.0ms	(cbrt (fma (- 1.0 x) y (* x z)))

series887.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (fma (- 1.0 x) y (* x z))) (cbrt (fma (- 1.0 x) y (* x z))))
203.0ms	(cbrt (fma (- 1.0 x) y (* x z)))
228.0ms	(cbrt (fma (- 1.0 x) y (* x z)))
211.0ms	(cbrt (fma (- 1.0 x) y (* x z)))

simplify235.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	320	1141
1	1025	1048
2	4868	935
3	5001	935

prune232.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))
0.2b	(pow (fma (- 1.0 x) y (* x z)) 3)
38.6b	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod` `*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow-unpow` `add-cbrt-cube`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `fma-udef` `rem-cube-cbrt`

Counts

3 → 51

Calls

3 calls:

1.0ms	(fma (- 1.0 x) y (* x z))
2.0ms	(pow (fma (- 1.0 x) y (* x z)) 3)
3.0ms	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

series219.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma (- 1.0 x) y (* x z))
136.0ms	(pow (fma (- 1.0 x) y (* x z)) 3)
43.0ms	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

simplify324.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	189	344
1	721	309
2	4833	300
3	5001	300

prune100.0ms

Filtered

60 candidates to 37 candidates (61.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample459.0ms

Algorithm

intervals

Results

246.0ms

10090×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3