Details

Time bar (total: 4.9s)

sample37.0ms

Algorithm
intervals
Results
15.0ms286×body80valid
7.0ms79×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

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: 20.0b

Counts
2 → 1

localize120.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.2b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
13.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
99.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
75.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify168.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0246646
1890606
23702588
35001584

prune427.0ms

Filtered
75 candidates to 60 candidates (80.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New68775
Fresh000
Picked101
Done000
Total69776

Merged error: 8.1b

Counts
76 → 7

localize124.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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:
3.0ms
(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)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify66.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0129540
1469520
21914516
35002508

prune346.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New71172
Fresh066
Picked101
Done000
Total72779

Merged error: 8.1b

Counts
79 → 7

localize126.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite22.0ms

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:
9.0ms
(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)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify68.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0129540
1469520
21914516
35002508

prune402.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done000
Total72779

Merged error: 8.1b

Counts
79 → 7

localize129.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
77.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify67.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0129540
1469520
21914516
35002508

prune324.0ms

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: 8.1b

Counts
79 → 7

regimes192.0ms

Accuracy

89.6% (1.3b remaining)

Error of 8.7b against oracle of 7.5b and baseline of 19.6b

bsearch170.0ms

Steps
ItersRangePoint
9
4.546949039871578e+116
7.0067478635952275e+121
1.799130866881706e+118
7
-5.802167618308309e+55
-1.5322109559450533e+54
-5.702871009382978e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05774
15774

end0.0ms

sample830.0ms

Algorithm
intervals
Results
442.0ms8683×body80valid
132.0ms2863×body80nan