Details

Time bar (total: 1.9s)

analyze11.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.6b
(- (* x x) (* (* y 4.0) y))
29.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify176.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0221583
1964535
24800534
35002534

prune89.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New46450
Fresh000
Picked101
Done000
Total47451

Merged error: 0.3b

Counts
51 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
20.7b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
21.1b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×*-un-lft-identity
8×associate-/r/
7×add-cube-cbrt times-frac
6×associate-/r*
5×cbrt-undiv div-exp add-log-exp
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×pow1 distribute-rgt-out--
2×frac-2neg clear-num associate-/l* difference-of-squares
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 68
Calls
3 calls:
14.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0362890
11736796
25001796

prune109.0ms

Filtered
56 candidates to 77 candidates (-37.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh123
Picked011
Done000
Total77481

Merged error: 0.3b

Counts
81 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3)
6.2b
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
20.7b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
21.1b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite32.0ms

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)
6.0ms
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
6.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
8.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3)
8.0ms
(cbrt (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3))
11.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04731265
126541179
250011173

prune170.0ms

Filtered
77 candidates to 134 candidates (-74.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done011
Total1344138

Merged error: 0.3b

Counts
138 → 4

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

regimes255.0ms

Accuracy

59.5% (12.6b remaining)

Error of 13.0b against oracle of 0.4b and baseline of 31.5b

bsearch216.0ms

Steps
ItersRangePoint
8
4.6904498624894286e+123
7.015805728421804e+126
4.601929561379237e+126
8
1.4538597028477642e-13
1.1851020635670541e-09
3.6922662866160834e-13
9
1.6337346742713135e-101
1.9549716488883496e-95
2.1763248347099573e-100
8
3.7216136332622406e-139
2.8945314618975647e-136
6.548370425359653e-139
5
-3.7687356569579176e-159
-1.3221727921352673e-159
-2.5466827547753813e-159
9
-1.5946591358656832e+159
-7.726486548274764e+153
-7.842117568339821e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03946
13946

end0.0ms

analyze18.0ms

Algorithm
search

sample475.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid

Profiling

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