Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

365×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma x x (* x y)) 2.0)
0.0b	(fma x x (* x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

6.0ms	(* (fma x x (* x y)) 2.0)
0.0ms	(fma x x (* x y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (fma x x (* x y)) 2.0)
33.0ms	(fma x x (* x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* x y))
0.4b	(* (fma x x (* x y)) (sqrt 2.0))
0.4b	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma x x (* x y))
9.0ms	(* (fma x x (* x y)) (sqrt 2.0))
24.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma x x (* x y))
66.0ms	(* (fma x x (* x y)) (sqrt 2.0))
101.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	173	375
1	871	319
2	5001	312

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
8.6b	(cbrt (fma x x (* x y)))
8.6b	(cbrt (fma x x (* x y)))
8.6b	(cbrt (fma x x (* x y)))

rewrite15.0ms

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 x x (* x y))) (cbrt (fma x x (* x y))))
1.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
192.0ms	(cbrt (fma x x (* x y)))
165.0ms	(cbrt (fma x x (* x y)))
169.0ms	(cbrt (fma x x (* x y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 4 (116.0ms)

Iter	Nodes	Cost
0	132	610
1	424	559
2	1512	505
3	4133	500
4	5001	475

prune518.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

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

sample453.0ms

Algorithm

intervals

Results

282.0ms

11191×

body

valid