Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

384×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	33	4
2	64	4
3	79	4
4	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

4.0ms

(- (* x x) (* (* y 4.0) z))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(- (* x x) (* (* y 4.0) z))

simplify85.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	113	123
1	540	111
2	2732	108
3	5001	104

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x x (- (* (* y 4.0) z)))

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:

1.0ms

(fma x x (- (* (* y 4.0) z)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma x x (- (* (* y 4.0) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	41	73
1	98	64
2	369	64
3	1696	64
4	5001	64

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
4.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
97.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify139.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	274	1280
1	1024	1201
2	4853	1129
3	5001	1129

prune275.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	4
1	22	4
2	22	4

end0.0ms

sample516.0ms

Algorithm

intervals

Results

279.0ms

12243×

body

valid