Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

324×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (93.0ms)

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

prune8.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

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

prune41.0ms

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 (- 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))

rewrite13.0ms

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

series612.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
142.0ms	(cbrt (fma (- 1 y) (/ x z) y))
145.0ms	(cbrt (fma (- 1 y) (/ x z) y))
138.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

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

prune285.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize22.0ms

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

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

series567.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma (- 1 y) (/ x z) y))
146.0ms	(cbrt (fma (- 1 y) (/ x z) y))
140.0ms	(cbrt (fma (- 1 y) (/ x z) y))
139.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	152	768
1	397	732
2	1499	724
3	5001	684

prune294.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize17.0ms

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 (fma (- 1 y) (/ x z) y))
0.9b	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

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))
4.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

series629.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma (- 1 y) (/ x z) y))
144.0ms	(cbrt (fma (- 1 y) (/ x z) y))
139.0ms	(cbrt (fma (- 1 y) (/ x z) y))
205.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

simplify172.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	382	971
1	1172	919
2	4977	885
3	5001	885

prune331.0ms

Filtered

77 candidates to 68 candidates (88.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Merged error: 0.0b

Counts

83 → 6

regimes118.0ms

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	9	3
1	9	3

end0.0ms

sample544.0ms

Algorithm

intervals

Results

316.0ms

10110×

body

valid