Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* x y))
0.0b	(* (fma x x (* x y)) 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (* x y))
7.0ms	(* (fma x x (* x y)) 2.0)

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma x x (* x y))
46.0ms	(* (fma x x (* x y)) 2.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

23.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series103.0ms

Counts

4 → 6

Calls

4 calls:

103.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	116	300
1	430	261
2	1912	253
3	5002	253

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma x x (* x y)) 2.0)
0.3b	(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
7.9b	(sqrt (* (fma x x (* x y)) 2.0))
7.9b	(sqrt (* (fma x x (* x y)) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (fma x x (* x y)) 2.0)
29.0ms	(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
4.0ms	(sqrt (* (fma x x (* x y)) 2.0))
5.0ms	(sqrt (* (fma x x (* x y)) 2.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (fma x x (* x y)) 2.0)
100.0ms	(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
121.0ms	(sqrt (* (fma x x (* x y)) 2.0))
124.0ms	(sqrt (* (fma x x (* x y)) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	227	521
1	1055	458
2	5002	420

prune182.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
0.3b	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
7.8b	(sqrt (fma x x (* x y)))
7.8b	(sqrt (fma x x (* x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`sqrt-prod`
14×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
15.0ms	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
1.0ms	(sqrt (fma x x (* x y)))
2.0ms	(sqrt (fma x x (* x y)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
126.0ms	(* (sqrt (fma x x (* x y))) (sqrt 2.0))
56.0ms	(sqrt (fma x x (* x y)))
60.0ms	(sqrt (fma x x (* x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	193	652
1	651	618
2	2725	596
3	5001	596

prune243.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes33.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample461.0ms

Algorithm

intervals

Results

230.0ms

11293×

body

valid