Details

Time bar (total: 4.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms279×body80valid
4.0ms76×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: 16.7b

Counts
2 → 1

localize119.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite24.0ms

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:
8.0ms
(- (- b) (sqrt (- (* 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)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify118.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0246646
1890606
23702588
35001584

prune245.0ms

Filtered
75 candidates to 60 candidates (80.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New70575
Fresh000
Picked101
Done000
Total71576

Merged error: 7.0b

Counts
76 → 5

localize123.0ms

Local error

Found 4 expressions with local error:

9.6b
(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log cbrt-div flip3-- add-cbrt-cube flip--
3×sqrt-prod
2×pow1/3 sqrt-div diff-log
1×associate--l- neg-sub0 sub-neg rem-sqrt-square sqrt-pow1 pow1/2 neg-log
Counts
4 → 55
Calls
4 calls:
4.0ms
(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
98.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0363835
11402760
25001731

prune331.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh134
Picked011
Done000
Total66672

Merged error: 7.0b

Counts
72 → 6

localize129.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 58
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
(cbrt (- (* b b) (* (* 4.0 a) c)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
98.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0202566
1639537
22437532
35001526

prune371.0ms

Filtered
70 candidates to 60 candidates (85.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh044
Picked011
Done011
Total69776

Merged error: 6.9b

Counts
76 → 7

localize128.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
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)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
105.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
100.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify84.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0202609
1639571
22437564
35001562

prune404.0ms

Filtered
66 candidates to 60 candidates (90.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done022
Total66773

Merged error: 6.9b

Counts
73 → 7

regimes173.0ms

Accuracy

89.9% (1.2b remaining)

Error of 8.6b against oracle of 7.4b and baseline of 19.4b

bsearch173.0ms

Steps
ItersRangePoint
9
1.314833454423355e+61
1.6016599845544569e+66
1.5877733204280517e+66
7
-2.5450419946620176e+154
-3.605266790381871e+152
-1.2796758542224547e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05366
15366

end0.0ms

sample845.0ms

Algorithm
intervals
Results
455.0ms8688×body80valid
138.0ms2902×body80nan