Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

371×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

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 (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)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(fma (fma x y z) y t)

simplify61.0ms

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

prune36.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (fma x y z) y) t)
0.1b	(* (fma x y z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+ (* (fma x y z) y) t)
6.0ms	(* (fma x y z) y)

series90.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* (fma x y z) y) t)
36.0ms	(* (fma x y z) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	155	162
1	497	142
2	3196	139
3	5002	138

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x y z))
0.5b	(cbrt (fma x y z))
0.5b	(cbrt (fma x y z))
0.6b	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

rewrite12.0ms

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 x y z))
0.0ms	(cbrt (fma x y z))
0.0ms	(cbrt (fma x y z))
9.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (fma x y z))
108.0ms	(cbrt (fma x y z))
109.0ms	(cbrt (fma x y z))
127.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

simplify126.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	207	517
1	772	479
2	3815	429
3	5001	425

prune261.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (fma x y z)) (cbrt (fma x y z))))
0.5b	(cbrt (cbrt (fma x y z)))
0.6b	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
0.6b	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

2.0ms	(cbrt (* (cbrt (fma x y z)) (cbrt (fma x y z))))
1.0ms	(cbrt (cbrt (fma x y z)))
5.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
6.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (* (cbrt (fma x y z)) (cbrt (fma x y z))))
110.0ms	(cbrt (cbrt (fma x y z)))
130.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
127.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	270	816
1	940	748
2	3944	672
3	5001	664

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes101.0ms

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	9	3
1	9	3

end0.0ms

sample695.0ms

Algorithm

intervals

Results

419.0ms

11325×

body

valid