Details

Time bar (total: 4.0s)

sample276.0ms

Algorithm
intervals
Results
198.0ms78×body80nan
27.0ms280×body80valid

simplify276.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.4b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite22.0ms

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:
3.0ms
(- (* 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)))
6.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
35.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify121.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0223579
1875551
23958543
35001540

prune190.0ms

Filtered
72 candidates to 55 candidates (23.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New64872
Fresh000
Picked101
Done000
Total65873

Merged error: 9.0b

Counts
73 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

8.5b
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite15.0ms

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
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
29.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0377865
11397791
25001755

prune246.0ms

Filtered
67 candidates to 60 candidates (10.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh077
Picked011
Done000
Total67875

Merged error: 9.0b

Counts
75 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

9.6b
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(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:
6.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (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)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (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)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify112.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0227677
1876574
23665562
35003558

prune210.0ms

Filtered
70 candidates to 59 candidates (15.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh246
Picked101
Done011
Total72678

Merged error: 9.0b

Counts
78 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b
(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)))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series60.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0127540
1454520
21936516
35001512

prune240.0ms

Filtered
72 candidates to 60 candidates (16.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done011
Total72678

Merged error: 9.0b

Counts
78 → 6

regimes246.0ms

Accuracy

89.8% (1.3b remaining)

Error of 9.9b against oracle of 8.6b and baseline of 21.4b

bsearch84.0ms

Steps
ItersRangePoint
8
6.823316278298556e+61
6.550118894311125e+64
4.1230311821444717e+64
10
-9.526373215770136e+173
-3.7304101871036234e+161
-3.7757370501819726e+161

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05459
15459

end0.0ms

sample1.4s

Algorithm
intervals
Results
770.0ms8616×body80valid
210.0ms2456×body80nan

Profiling

Loading profile data...