Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	315×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(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

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

series64.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma x z (fma 5.0 z (* x y)))
31.0ms	(fma 5.0 z (* x y))

simplify104.0ms

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

prune90.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 5.0 z (* x y))) (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)))
0.5b	(cbrt (fma 5.0 z (* x y)))

rewrite17.0ms

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:

10.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma 5.0 z (* x y)))
3.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
162.0ms	(cbrt (fma 5.0 z (* x y)))
158.0ms	(cbrt (fma 5.0 z (* x y)))
161.0ms	(cbrt (fma 5.0 z (* x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	271	726
1	833	671
2	3661	604
3	5001	580

prune590.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma 5.0 z (* x y))))
0.5b	(* (cbrt (cbrt (fma 5.0 z (* x y)))) (cbrt (cbrt (fma 5.0 z (* x y)))))
0.6b	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
0.6b	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
15.0ms	(* (cbrt (cbrt (fma 5.0 z (* x y)))) (cbrt (cbrt (fma 5.0 z (* x y)))))
8.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
5.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
173.0ms	(* (cbrt (cbrt (fma 5.0 z (* x y)))) (cbrt (cbrt (fma 5.0 z (* x y)))))
162.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))
165.0ms	(cbrt (* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y)))))

simplify124.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	318	1194
1	953	1106
2	3887	1007
3	5001	974

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

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

sample515.0ms

Algorithm

intervals

Results

257.0ms	9851×	body	80	valid
15.0ms	111×	body	1280	valid
10.0ms	108×	body	640	valid
5.0ms	72×	body	320	valid
2.0ms	38×	body	160	valid