Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune4.0ms

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)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(fma z (- y x) x)

simplify42.0ms

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

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

6.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
0.0ms	(cbrt (fma z (- y x) x))
0.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))

series582.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
128.0ms	(cbrt (fma z (- y x) x))
130.0ms	(cbrt (fma z (- y x) x))
131.0ms	(cbrt (fma z (- y x) x))

simplify133.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

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

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma z (- y x) x)))
0.5b	(cbrt (fma z (- y x) x))
0.5b	(cbrt (fma z (- y x) x))
0.5b	(cbrt (fma z (- y x) x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
9×	`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`
3×	`sqrt-prod`

Counts

4 → 55

Calls

4 calls:

5.0ms	(cbrt (sqrt (fma z (- y x) x)))
0.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))

series524.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (sqrt (fma z (- y x) x)))
135.0ms	(cbrt (fma z (- y x) x))
129.0ms	(cbrt (fma z (- y x) x))
129.0ms	(cbrt (fma z (- y x) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	172	432
1	430	402
2	1482	378
3	5002	373

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma z (- y x) x)))
0.3b	(cbrt (sqrt (fma z (- y x) x)))
0.5b	(cbrt (fma z (- y x) x))
0.5b	(cbrt (fma z (- y x) x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt (sqrt (fma z (- y x) x)))
1.0ms	(cbrt (sqrt (fma z (- y x) x)))
4.0ms	(cbrt (fma z (- y x) x))
1.0ms	(cbrt (fma z (- y x) x))

series719.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (sqrt (fma z (- y x) x)))
329.0ms	(cbrt (sqrt (fma z (- y x) x)))
130.0ms	(cbrt (fma z (- y x) x))
132.0ms	(cbrt (fma z (- y x) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	172	480
1	430	448
2	1482	424
3	5002	418

prune265.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes64.0ms

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

sample411.0ms

Algorithm

intervals

Results

205.0ms

10117×

body

valid