Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	19	2
2	35	2
3	57	2
4	74	2
5	88	2
6	109	2
7	163	2
8	329	2
9	652	2
10	1169	2
11	1615	2
12	2261	2
13	3963	2
14	5001	2

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- y 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:

0.0ms

(fma z (- y x) x)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(fma z (- y x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	50
1	67	39
2	280	39
3	1533	39
4	5002	39

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

0.0ms	(cbrt (fma z (- y x) x))
0.0ms	(cbrt (fma z (- y x) x))
0.0ms	(cbrt (fma z (- y x) x))
6.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (fma z (- y x) x))
41.0ms	(cbrt (fma z (- y x) x))
42.0ms	(cbrt (fma z (- y x) x))
69.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	227	673
1	837	622
2	4043	559
3	5001	559

prune606.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- y x) x)
0.0b	(sqrt (fma z (- y x) x))
0.0b	(sqrt (fma z (- y x) x))
0.2b	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma z (- y x) x)
1.0ms	(sqrt (fma z (- y x) x))
1.0ms	(sqrt (fma z (- y x) x))
7.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(fma z (- y x) x)
15.0ms	(sqrt (fma z (- y x) x))
17.0ms	(sqrt (fma z (- y x) x))
8.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

simplify138.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	178	483
1	611	409
2	3446	389
3	5001	378

prune429.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- y x) x)
0.1b	(pow (fma z (- y x) x) 3)
39.4b	(cbrt (pow (fma z (- y x) x) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma z (- y x) x)
1.0ms	(pow (fma z (- y x) x) 3)
1.0ms	(cbrt (pow (fma z (- y x) x) 3))

series44.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(fma z (- y x) x)
28.0ms	(pow (fma z (- y x) x) 3)
8.0ms	(cbrt (pow (fma z (- y x) x) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	168	305
1	688	280
2	5001	274

prune249.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes148.0ms

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	5	2

end0.0ms

sample591.0ms

Algorithm

intervals

Results

382.0ms

10139×

body

valid