Details

Time bar (total: 2.1s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1284
2424
3444
4444

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize11.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ (+ x y) (* (* x 2.0) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
22.0ms
(/ (+ x y) (* (* x 2.0) y))

series54.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify37.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0225198
1956161
25001161

prune54.0ms

Filtered
32 candidates to 21 candidates (65.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

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 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
03074
18665
243564
3198859
4500159

prune30.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.5b
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.5b
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.5b
(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
0.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
6.0ms
(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
126.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
129.0ms
(cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))
392.0ms
(* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
02761075
1825992
23708911
35001883

prune261.0ms

Filtered
93 candidates to 75 candidates (80.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
8.3b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 81
Calls
2 calls:
9.0ms
(/ (+ x y) (* x 2.0))
12.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ x y) (* x 2.0))
47.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0345558
11350499
25001496

prune131.0ms

Filtered
87 candidates to 62 candidates (71.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

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)

IterNodesCost
0114
1114

end0.0ms

sample298.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid