Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

364×

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: 0.0b

localize5.0ms

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)

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma (fma x y z) y t)

simplify58.0ms

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 (2 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)))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))

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:

11.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series682.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
165.0ms	(cbrt (fma (fma x y z) y t))
158.0ms	(cbrt (fma (fma x y z) y t))
164.0ms	(cbrt (fma (fma x y z) y t))

simplify186.0ms

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

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

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

series685.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (fma (fma x y z) y t))
157.0ms	(cbrt (fma (fma x y z) y t))
164.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
203.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))

simplify90.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	274	507
1	816	454
2	3446	426
3	5001	419

prune251.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma x y z) y t)
0.0b	(sqrt (fma (fma x y z) y t))
0.0b	(sqrt (fma (fma x y z) y t))
0.2b	(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

rewrite18.0ms

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:

0.0ms	(fma (fma x y z) y t)
1.0ms	(sqrt (fma (fma x y z) y t))
1.0ms	(sqrt (fma (fma x y z) y t))
13.0ms	(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

series965.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma (fma x y z) y t)
520.0ms	(sqrt (fma (fma x y z) y t))
323.0ms	(sqrt (fma (fma x y z) y t))
60.0ms	(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify174.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	207	497
1	758	427
2	4790	407
3	5001	407

prune192.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes86.0ms

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

sample639.0ms

Algorithm

intervals

Results

254.0ms

11324×

body

valid