Details

sample25.0ms

Algorithm

intervals

Results

13.0ms	321×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify13.0ms

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

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify58.0ms

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

prune35.0ms

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))

series76.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x z (fma 5.0 z (* x y)))
40.0ms	(fma 5.0 z (* x y))

simplify106.0ms

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

prune70.0ms

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

rewrite9.0ms

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:

0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
0.0ms	(cbrt (fma 5.0 z (* x y)))
6.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))

series753.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (fma 5.0 z (* x y)))
189.0ms	(cbrt (fma 5.0 z (* x y)))
189.0ms	(cbrt (fma 5.0 z (* x y)))
184.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	271	726
1	841	671
2	3669	604
3	5001	580

prune282.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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))))
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)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`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 → 104

Calls

4 calls:

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

series759.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
191.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
190.0ms	(cbrt (cbrt (fma 5.0 z (* x y))))
188.0ms	(* (cbrt (cbrt (fma 5.0 z (* x y)))) (cbrt (cbrt (fma 5.0 z (* x y)))))

simplify118.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	310	1196
1	944	1126
2	3876	1027
3	5001	996

prune384.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes69.0ms

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

sample659.0ms

Algorithm

intervals

Results

408.0ms	9927×	body	80	valid
21.0ms	109×	body	1280	valid
12.0ms	90×	body	640	valid
7.0ms	71×	body	320	valid
2.0ms	29×	body	160	valid