Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (64.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

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 y) (/ x z) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma (- 1 y) (/ x z) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune37.0ms

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:

0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
136.0ms	(cbrt (fma (- 1 y) (/ x z) y))
142.0ms	(cbrt (fma (- 1 y) (/ x z) y))
138.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	314	1139
1	1112	1069
2	5001	1008

prune301.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
0.6b	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
4.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
2.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (fma (- 1 y) (/ x z) y))
137.0ms	(cbrt (fma (- 1 y) (/ x z) y))
189.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
138.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	356	890
1	919	835
2	3449	824
3	5001	809

prune301.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (fma (- 1 y) (/ x z) y))
0.6b	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
0.6b	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
4.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
2.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (fma (- 1 y) (/ x z) y))
139.0ms	(cbrt (fma (- 1 y) (/ x z) y))
188.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
137.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

simplify97.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	356	890
1	919	835
2	3449	824
3	5001	809

prune294.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample455.0ms

Algorithm

intervals

Results

245.0ms

10059×

body

valid