Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	325×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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 x (+ y z) (* z 5.0))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma x (+ y z) (* z 5.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	288	52
3	1708	52
4	5001	52

prune40.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.0b	(fma 5.0 z (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma x z (fma 5.0 z (* x y)))
0.0ms	(fma 5.0 z (* x y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x z (fma 5.0 z (* x y)))
41.0ms	(fma 5.0 z (* x y))

simplify101.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	100
1	122	88
2	579	88
3	3524	88
4	5001	88

prune65.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 5.0 z (* x y))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.2b	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

rewrite12.0ms

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 5.0 z (* x y))
1.0ms	(sqrt (fma 5.0 z (* x y)))
1.0ms	(sqrt (fma 5.0 z (* x y)))
7.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 5.0 z (* x y))
71.0ms	(sqrt (fma 5.0 z (* x y)))
78.0ms	(sqrt (fma 5.0 z (* x y)))
41.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

simplify139.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	143	456
1	536	404
2	3215	386
3	5002	375

prune232.0ms

Filtered

103 candidates to 62 candidates (60.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y)))))
0.2b	(* (sqrt (fma 5.0 z (* x y))) (* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y))))))
0.5b	(cbrt (fma 5.0 z (* x y)))
0.5b	(cbrt (fma 5.0 z (* x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-r`
9×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y)))))
12.0ms	(* (sqrt (fma 5.0 z (* x y))) (* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y))))))
0.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series912.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y)))))
256.0ms	(* (sqrt (fma 5.0 z (* x y))) (* (fabs (cbrt (fma 5.0 z (* x y)))) (sqrt (cbrt (fma 5.0 z (* x y))))))
191.0ms	(cbrt (fma 5.0 z (* x y)))
194.0ms	(cbrt (fma 5.0 z (* x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	457	1048
1	1583	948
2	5001	927

prune353.0ms

Filtered

89 candidates to 71 candidates (79.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample451.0ms

Algorithm

intervals

Results

223.0ms	9788×	body	80	valid
11.0ms	117×	body	1280	valid
9.0ms	116×	body	640	valid
3.0ms	56×	body	320	valid
1.0ms	33×	body	160	valid