Details

Time bar (total: 3.4s)

sample65.0ms

Algorithm
intervals
Results
27.0ms277×body80valid
7.0ms81×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.3b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite27.0ms

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:
11.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(+ (neg 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)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify113.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0248644
1898606
23865590
35001586

prune176.0ms

Filtered
60 candidates to 75 candidates (-25.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New68775
Fresh000
Picked101
Done000
Total69776

Merged error: 4.9b

Counts
76 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

10.5b
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×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 flip3-- add-cbrt-cube flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(- (neg 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)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify105.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0221722
1829631
23533612
35001592

prune194.0ms

Filtered
58 candidates to 72 candidates (-24.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done000
Total72779

Merged error: 4.9b

Counts
79 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

7.7b
(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.3b
(cbrt (- (* b b) (* (* 4.0 a) c)))
19.3b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

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 add-cbrt-cube
3×flip3-- sqrt-prod flip--
2×pow1/3 sqrt-div sum-log
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log flip-+
Counts
4 → 54
Calls
4 calls:
4.0ms
(+ (neg 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)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0382836
11428761
25002721

prune225.0ms

Filtered
60 candidates to 66 candidates (-10.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh055
Picked011
Done011
Total65873

Merged error: 4.9b

Counts
73 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.3b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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:
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
(cbrt (- (* b b) (* (* 4.0 a) c)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify82.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0218570
1680547
22689538
35002527

prune242.0ms

Filtered
59 candidates to 70 candidates (-18.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh055
Picked011
Done022
Total70878

Merged error: 4.9b

Counts
78 → 8

regimes271.0ms

Accuracy

89.8% (1.2b remaining)

Error of 9.3b against oracle of 8.0b and baseline of 20.2b

bsearch73.0ms

Steps
ItersRangePoint
9
1.2602211262179521e+138
8.859133655848229e+145
3.105356376070422e+138
10
-3.808358555344849e+179
-1.1379704446047919e+164
-1.153176404332609e+164

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04858
14858

end0.0ms

sample1.3s

Algorithm
intervals
Results
748.0ms8755×body80valid
211.0ms2670×body80nan

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