Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

318×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	2
1	14	2
2	16	2
3	17	2
4	17	2

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ y (fma x x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `fma-udef` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

3.0ms

(+ y (fma x x y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(+ y (fma x x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	80	68
1	232	59
2	949	59
3	5001	58

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y 2 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

(fma y 2 (pow x 2))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma y 2 (pow x 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	43
1	63	38
2	209	38
3	826	38
4	5002	38

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (fma x x y))
0.0b	(sqrt (+ y (fma x x y)))
0.0b	(sqrt (+ y (fma x x y)))
0.2b	(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
34×	`sqrt-prod`
33×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
15×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `hypot-def`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 120

Calls

4 calls:

3.0ms	(+ y (fma x x y))
4.0ms	(sqrt (+ y (fma x x y)))
4.0ms	(sqrt (+ y (fma x x y)))
21.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ y (fma x x y))
138.0ms	(sqrt (+ y (fma x x y)))
125.0ms	(sqrt (+ y (fma x x y)))
48.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	207	650
1	839	578
2	5001	560

prune259.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	2
1	12	2
2	12	2

end0.0ms

sample582.0ms

Algorithm

intervals

Results

399.0ms

10752×

body

valid