Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	349×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
33.0ms	(fma t x (* y 5.0))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

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

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

series98.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(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

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
7×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `associate-l` `distribute-lft-out`
3×	`expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-l/` `fma-udef`
1×	`+-commutative` `associate-+r+` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

34.0ms	(* (+ y z) (+ x x))
0.0ms	(fma t x (* y 5.0))
19.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (+ y z) (+ x x))
33.0ms	(fma t x (* y 5.0))
58.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	348	382
1	1657	337
2	5001	336

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite15.0ms

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:

11.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
1.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
132.0ms	(cbrt (fma t x (* y 5.0)))
133.0ms	(cbrt (fma t x (* y 5.0)))
138.0ms	(cbrt (fma t x (* y 5.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (54.0ms)

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

prune295.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

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	12	5
1	12	5

end0.0ms

sample709.0ms

Algorithm

intervals

Results

305.0ms	10552×	body	80	valid
14.0ms	85×	body	1280	valid
10.0ms	92×	body	640	valid
5.0ms	60×	body	320	valid
2.0ms	29×	body	160	valid