Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

323×

body

valid

simplify184.0ms

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

prune6.0ms

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:

1.0ms

(fma z (- y x) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(fma z (- y x) x)

simplify40.0ms

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

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
1.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))

series538.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
119.0ms	(cbrt (fma z (- y x) x))
122.0ms	(cbrt (fma z (- y x) x))
121.0ms	(cbrt (fma z (- y x) x))

simplify127.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	227	673
1	829	622
2	4037	559
3	5001	559

prune212.0ms

Pruning

3 alts after pruning (1 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))
0.3b	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

rewrite12.0ms

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:

1.0ms	(fma z (- y x) x)
1.0ms	(sqrt (fma z (- y x) x))
1.0ms	(sqrt (fma z (- y x) x))
6.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma z (- y x) x)
60.0ms	(sqrt (fma z (- y x) x))
60.0ms	(sqrt (fma z (- y x) x))
23.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

simplify139.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (132.0ms)

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

prune166.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample397.0ms

Algorithm

intervals

Results

197.0ms

10091×

body

valid