Details

Time bar (total: 4.7s)

sample34.0ms

Algorithm
intervals
Results
14.0ms281×body80valid
4.0ms97×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

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: 21.9b

Counts
2 → 1

localize117.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.5b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
3×diff-log
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log
Counts
4 → 60
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 4.0 a) c))
75.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify118.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0227581
1878551
23814541
35002538

prune271.0ms

Filtered
72 candidates to 55 candidates (76.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New65772
Fresh000
Picked101
Done000
Total66773

Merged error: 8.6b

Counts
73 → 7

localize119.0ms

Local error

Found 4 expressions with local error:

11.6b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log add-cbrt-cube
3×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
2×sum-log
1×+-commutative neg-sub0 associate-+l- flip3-+ neg-log flip-+
Counts
4 → 58
Calls
4 calls:
4.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify113.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0232680
1883574
23567559
35001555

prune324.0ms

Filtered
70 candidates to 59 candidates (84.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh336
Picked101
Done000
Total70777

Merged error: 8.6b

Counts
77 → 7

localize122.0ms

Local error

Found 4 expressions with local error:

24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))
25.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0202586
1639554
22437548
35001544

prune423.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh066
Picked011
Done000
Total68775

Merged error: 8.6b

Counts
75 → 7

localize125.0ms

Local error

Found 4 expressions with local error:

24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp
Counts
4 → 60
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify69.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0129540
1469520
21914516
35002508

prune389.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done011
Total72779

Merged error: 8.6b

Counts
79 → 7

regimes187.0ms

Accuracy

93.1% (0.9b remaining)

Error of 8.4b against oracle of 7.5b and baseline of 19.9b

bsearch176.0ms

Steps
ItersRangePoint
8
4.088553977120381e+100
8.044751807128501e+103
6.365971009883693e+102
8
-5.2460580137233546e+129
-1.972394196766702e+125
-2.7508333903592313e+127

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05666
15666

end0.0ms

sample812.0ms

Algorithm
intervals
Results
435.0ms8701×body80valid
134.0ms2923×body80nan