Details

sample37.0ms

Algorithm

intervals

Results

22.0ms	326×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify53.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

series85.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
31.0ms	(fma t x (* y 5.0))

simplify26.0ms

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

prune76.0ms

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)))
0.1b	(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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(fma 5.0 y (* t x))

simplify29.0ms

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

prune72.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 5.0 y (* t x))
0.1b	(sqrt (fma 5.0 y (* t x)))
0.1b	(sqrt (fma 5.0 y (* t x)))
0.3b	(* (sqrt (fma 5.0 y (* t x))) (sqrt (fma 5.0 y (* t x))))

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

series210.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma 5.0 y (* t x))
65.0ms	(sqrt (fma 5.0 y (* t x)))
69.0ms	(sqrt (fma 5.0 y (* t x)))
39.0ms	(* (sqrt (fma 5.0 y (* t x))) (sqrt (fma 5.0 y (* t x))))

simplify132.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	143	456
1	536	404
2	3215	386
3	5002	375

prune232.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma 5.0 y (* t x)))
0.1b	(sqrt (fma 5.0 y (* t x)))
0.2b	(* (pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3) (sqrt (sqrt (fma 5.0 y (* t x)))))
0.4b	(pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

1.0ms	(sqrt (fma 5.0 y (* t x)))
1.0ms	(sqrt (fma 5.0 y (* t x)))
21.0ms	(* (pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3) (sqrt (sqrt (fma 5.0 y (* t x)))))
3.0ms	(pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3)

series476.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (fma 5.0 y (* t x)))
70.0ms	(sqrt (fma 5.0 y (* t x)))
35.0ms	(* (pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3) (sqrt (sqrt (fma 5.0 y (* t x)))))
300.0ms	(pow (sqrt (sqrt (fma 5.0 y (* t x)))) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	386	1366
1	1659	1032
2	5001	920

prune354.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes124.0ms

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

sample1.1s

Algorithm

intervals

Results

698.0ms	10664×	body	80	valid
28.0ms	120×	body	640	valid
27.0ms	95×	body	1280	valid
10.0ms	53×	body	320	valid
4.0ms	31×	body	160	valid