Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (65.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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:

0.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify49.0ms

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

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite16.0ms

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:

12.0ms	(* (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))

series619.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
146.0ms	(cbrt (fma (- 1 y) (/ x z) y))
141.0ms	(cbrt (fma (- 1 y) (/ x z) y))
141.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (35.0ms)

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

prune286.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`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`

Counts

4 → 55

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

series581.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (fma (- 1 y) (/ x z) y))
147.0ms	(cbrt (fma (- 1 y) (/ x z) y))
144.0ms	(cbrt (fma (- 1 y) (/ x z) y))
145.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	236	822
1	612	784
2	2194	776
3	5002	755

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`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 → 68

Calls

4 calls:

1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))
5.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

series648.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (fma (- 1 y) (/ x z) y))
143.0ms	(cbrt (fma (- 1 y) (/ x z) y))
144.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))
216.0ms	(pow (cbrt (cbrt (fma (- 1 y) (/ x z) y))) 4)

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	449	1008
1	1374	962
2	5001	925

prune333.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes138.0ms

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

sample521.0ms

Algorithm

intervals

Results

231.0ms

10186×

body

valid