Details

sample42.0ms

Algorithm

intervals

Results

24.0ms

398×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	35	3
2	45	3
3	47	3
4	47	3

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* z t))
0.0b	(fma b a (fma x y (* z t)))

rewrite2.0ms

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 y (* z t))
1.0ms	(fma b a (fma x y (* z t)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma x y (* z t))
65.0ms	(fma b a (fma x y (* z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	48	96
1	114	84
2	406	84
3	1982	84
4	5001	84

prune87.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))

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:

5.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
0.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
105.0ms	(cbrt (fma x y (* z t)))
110.0ms	(cbrt (fma x y (* z t)))
110.0ms	(cbrt (fma x y (* z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	243	691
1	803	636
2	3085	573
3	5001	545

prune313.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (fma x y (* z t)))
0.0ms	(cbrt (fma x y (* z t)))
0.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (fma x y (* z t)))
108.0ms	(cbrt (fma x y (* z t)))
106.0ms	(cbrt (fma x y (* z t)))
106.0ms	(cbrt (fma x y (* z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (42.0ms)

Iter	Nodes	Cost
0	120	404
1	262	372
2	646	348
3	1621	324
4	5002	316

prune326.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes349.0ms

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	10	3
1	10	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

789.0ms

12017×

body

valid