Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.8b
(- (* x x) (* (* y 4.0) y))
32.8b
(/ (- (* 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:
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* 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

prune115.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0.5b

Counts
65 → 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

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.5b

Counts
4 → 4

localize11.0ms

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))))
22.8b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
25.3b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite35.0ms

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:
4.0ms
(+ (* x x) (* (* y 4.0) y))
14.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
9.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
71.0ms
(- (/ (* 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)))
51.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0396987
11934882
25001881

prune138.0ms

Filtered
91 candidates to 67 candidates (73.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0.5b

Counts
95 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

3.8b
(- (* x x) (* (* y 4.0) y))
32.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
32.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
32.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/r/ associate-/l/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 108
Calls
4 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* x x) (* (* y 4.0) y))
62.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
60.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
61.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify186.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02211543
19641419
248141416
350011416

prune286.0ms

Filtered
120 candidates to 97 candidates (80.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done022
Total1204124

Merged error: 0.5b

Counts
124 → 4

regimes177.0ms

Accuracy

57.3% (13.4b remaining)

Error of 13.7b against oracle of 0.4b and baseline of 31.7b

bsearch216.0ms

Steps
ItersRangePoint
9
6.653394922443292e+78
7.567714229496603e+84
1.362567792051991e+79
6
2.3228367557642164e+53
1.122339772063136e+54
1.108857736042641e+54
5
2.9300307707156197e+19
1.0935279202427552e+20
3.3120927224723735e+19
6
1.892206502670164e-22
1.6633021246357823e-21
1.5581991650942762e-21
10
7.092892918499666e-74
2.908355924533328e-59
3.442687003304331e-70
7
-1.7923826250333986e-97
-3.929201158797113e-99
-6.969950843926011e-99
9
-8.510302641620927e+133
-7.996921074717953e+128
-3.3114132981774323e+130

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04460
14460

end0.0ms

sample395.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid