Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

370×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

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 (fma x y z) y t)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (fma x y z) y t)

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	47
1	91	38
2	366	38
3	1887	38
4	5001	38

prune40.0ms

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 (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))

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:

5.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.0ms	(cbrt (fma (fma x y z) y t))
0.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series611.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
147.0ms	(cbrt (fma (fma x y z) y t))
146.0ms	(cbrt (fma (fma x y z) y t))
142.0ms	(cbrt (fma (fma x y z) y t))

simplify174.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	698
1	931	634
2	4917	570
3	5001	570

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))

rewrite3.0ms

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:

0.0ms	(cbrt (fma (fma x y z) y t))
0.0ms	(cbrt (fma (fma x y z) y t))
0.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (fma (fma x y z) y t))
148.0ms	(cbrt (fma (fma x y z) y t))
143.0ms	(cbrt (fma (fma x y z) y t))
152.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	194	464
1	519	418
2	2168	398
3	5002	386

prune272.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))

rewrite7.0ms

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:

0.0ms	(cbrt (fma (fma x y z) y t))
0.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
4.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (fma (fma x y z) y t))
144.0ms	(cbrt (fma (fma x y z) y t))
150.0ms	(cbrt (fma (fma x y z) y t))
145.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	194	464
1	519	418
2	2168	398
3	5002	386

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2

end0.0ms

sample539.0ms

Algorithm

intervals

Results

266.0ms

11380×

body

valid