Details

Time bar (total: 2.4s)

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.6b
(- (* x x) (* (* y 4.0) y))
28.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
2.0ms
(- (* x x) (* (* y 4.0) y))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x x) (* (* y 4.0) y))
38.0ms
(- (* x x) (* (* y 4.0) y))
58.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0234680
11007622
25001620

prune141.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
21.1b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
23.0b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-/r/ add-log-exp
7×times-frac
6×associate-/r*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 prod-exp cbrt-unprod div-inv
3×distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
33.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
67.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
52.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
50.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0396987
11934882
25001881

prune182.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3)
8.9b
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
21.1b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
23.0b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log cbrt-prod add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity times-frac cube-prod
12×associate-/r/
7×cbrt-undiv div-exp
6×flip3-+ associate-/r* flip-+ div-inv
5×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l* sqr-pow
1×pow-to-exp cbrt-div pow-pow pow1/3 rem-cbrt-cube
Counts
4 → 122
Calls
4 calls:
8.0ms
(pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3)
7.0ms
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
10.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3)
50.0ms
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
51.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
51.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04731265
126551179
250021173

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes130.0ms

Accuracy

58.1% (13.2b remaining)

Error of 13.7b against oracle of 0.5b and baseline of 32.0b

bsearch250.0ms

Steps
ItersRangePoint
7
1.1608947055862536e+73
1.608126041204279e+75
1.5780354646094017e+73
9
5.831860694222546e+42
2.9579493490267876e+50
2.5381032688375856e+50
6
7.934146960282155e-163
4.529382127183439e-162
3.63255245346158e-162
8
-1.1593599776300809e-157
-1.3699538778299852e-160
-1.4854538673422828e-159
9
-3.3653750376489624e-125
-4.187437093510799e-132
-8.308335720608797e-129
9
-2.660191539110354e-86
-6.01839662165218e-93
-1.2844298549447538e-86
7
-6.9458542767114855e+72
-3.389344739003144e+71
-6.884691467287527e+72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04251
14251

end0.0ms

sample566.0ms

Algorithm
intervals
Results
429.0ms8000×body80valid