Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	322×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify54.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:

31.0ms	(fma t x (* y 5.0))
56.0ms	(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

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.1b	(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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
36.0ms	(fma 5.0 y (* t x))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

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

prune88.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
0.0b	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0b	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.2b	(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
1.0ms	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
7.0ms	(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
149.0ms	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
145.0ms	(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
57.0ms	(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

simplify176.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	176	815
1	638	717
2	3902	677
3	5001	677

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.1b	(fma 5.0 y (* t x))
0.3b	(pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3)
38.7b	(cbrt (pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.0ms	(fma 5.0 y (* t x))
1.0ms	(pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3)
2.0ms	(cbrt (pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3))

series693.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
39.0ms	(fma 5.0 y (* t x))
546.0ms	(pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3)
55.0ms	(cbrt (pow (fma (+ y z) (+ x x) (fma 5.0 y (* t x))) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	203	590
1	791	552
2	5001	532

prune207.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes109.0ms

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

sample658.0ms

Algorithm

intervals

Results

353.0ms	10612×	body	80	valid
13.0ms	86×	body	1280	valid
11.0ms	95×	body	640	valid
6.0ms	64×	body	320	valid
4.0ms	31×	body	160	valid