Details

sample33.0ms

Algorithm

intervals

Results

19.0ms	326×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	160	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: 0.1b

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))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
35.0ms	(fma t x (* y 5.0))

simplify28.0ms

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

prune81.0ms

Pruning

4 alts after pruning (3 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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
36.0ms	(fma 5.0 y (* t x))

simplify26.0ms

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

prune75.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

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

series276.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))
35.0ms	(fma 5.0 y (* t x))
39.0ms	(fma 5.0 y (* t x))
56.0ms	(* (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))) (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))))

simplify180.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	175	711
1	693	615
2	4087	573
3	5001	573

prune227.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

1.0ms	(sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))))
1.0ms	(sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))))
20.0ms	(* (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) (pow (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) 3))
3.0ms	(pow (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) 3)

series1.8s

Counts

4 → 12

Calls

4 calls:

432.0ms	(sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))))
434.0ms	(sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x)))))
58.0ms	(* (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) (pow (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) 3))
920.0ms	(pow (sqrt (sqrt (fma (+ y z) (+ x x) (fma 5.0 y (* t x))))) 3)

simplify82.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	490	2651
1	2091	1985
2	5001	1783

prune380.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

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

sample941.0ms

Algorithm

intervals

Results

619.0ms	10501×	body	80	valid
23.0ms	113×	body	640	valid
20.0ms	89×	body	1280	valid
12.0ms	81×	body	320	valid
4.0ms	41×	body	160	valid