Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

302×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	24	3
2	28	3
3	30	3
4	30	3

prune4.0ms

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 x y z) (/ x 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `fma-udef` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

6.0ms

(+ (fma x y z) (/ x 2.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (fma x y z) (/ x 2.0))

simplify34.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	95	90
1	307	79
2	1287	79
3	5001	79

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))
0.6b	(cbrt (+ (fma x y z) (/ x 2.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 103

Calls

4 calls:

46.0ms	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
5.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
5.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
8.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
129.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
127.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))
121.0ms	(cbrt (+ (fma x y z) (/ x 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	397	1336
1	1384	1257
2	5001	1151

prune288.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x y z) (/ x 2.0))
0.1b	(pow (+ (fma x y z) (/ x 2.0)) 3)
44.0b	(cbrt (pow (+ (fma x y z) (/ x 2.0)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 74

Calls

3 calls:

6.0ms	(+ (fma x y z) (/ x 2.0))
14.0ms	(pow (+ (fma x y z) (/ x 2.0)) 3)
11.0ms	(cbrt (pow (+ (fma x y z) (/ x 2.0)) 3))

series171.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (fma x y z) (/ x 2.0))
109.0ms	(pow (+ (fma x y z) (/ x 2.0)) 3)
30.0ms	(cbrt (pow (+ (fma x y z) (/ x 2.0)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	278	482
1	1229	452
2	5001	446

prune145.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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	8	3
1	8	3

end0.0ms

sample404.0ms

Algorithm

intervals

Results

216.0ms

9179×

body

valid