Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	348×	body	80	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma t x (* y 5.0))
55.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
35.0ms	(fma 5.0 y (* t x))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune72.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

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

series544.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
129.0ms	(cbrt (fma t x (* y 5.0)))
130.0ms	(cbrt (fma t x (* y 5.0)))
132.0ms	(cbrt (fma t x (* y 5.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	232	691
1	729	636
2	2680	572
3	5001	556

prune290.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma t x (* y 5.0)))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 46

Calls

4 calls:

0.0ms	(cbrt (fma t x (* y 5.0)))
2.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
2.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
3.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (fma t x (* y 5.0)))
155.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
156.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
152.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	196	545
1	462	483
2	1214	450
3	3432	441
4	5002	437

prune235.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample627.0ms

Algorithm

intervals

Results

327.0ms	10660×	body	80	valid
14.0ms	102×	body	640	valid
11.0ms	78×	body	1280	valid
7.0ms	81×	body	320	valid
2.0ms	31×	body	160	valid