Details

Time bar (total: 5.3s)

sample324.0ms

Algorithm
intervals
Results
22.0ms281×body80valid
6.0ms87×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune25.0ms

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: 20.8b

Counts
2 → 1

localize143.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.4b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite31.0ms

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:
12.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(+ (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)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify118.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0248644
1898606
23865590
35001586

prune415.0ms

Filtered
75 candidates to 60 candidates (20.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New68775
Fresh000
Picked101
Done000
Total69776

Merged error: 7.5b

Counts
76 → 7

localize144.0ms

Local error

Found 4 expressions with local error:

8.9b
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(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)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (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)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify109.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0221725
1823631
23496612
35001592

prune436.0ms

Filtered
72 candidates to 58 candidates (19.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done000
Total72779

Merged error: 7.5b

Counts
79 → 7

localize144.0ms

Local error

Found 4 expressions with local error:

9.2b
(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.8b
(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 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)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series99.0ms

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))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0382835
11434761
25002721

prune643.0ms

Filtered
66 candidates to 60 candidates (9.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done011
Total66773

Merged error: 7.5b

Counts
73 → 7

localize142.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.7b
(exp (log (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
7×pow1
6×sqrt-prod
5×log-prod exp-sum
4×add-exp-log exp-prod sqrt-div add-cbrt-cube distribute-lft-out
2×rem-sqrt-square log-div flip3-- distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 exp-diff sum-log flip-- flip-+
1×+-commutative neg-sub0 associate-+l- neg-log log-pow rem-exp-log
Counts
4 → 64
Calls
4 calls:
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(exp (log (+ (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)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
15.0ms
(exp (log (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify104.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0249652
1880611
23511575
35001565

prune424.0ms

Filtered
76 candidates to 59 candidates (22.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done022
Total76783

Merged error: 7.5b

Counts
83 → 7

regimes306.0ms

Accuracy

92.2% (0.9b remaining)

Error of 8.5b against oracle of 7.6b and baseline of 19.8b

bsearch217.0ms

Steps
ItersRangePoint
9
5.514542683406611e+77
2.3545344307669661e+86
4.3318565542540646e+83
8
-6.668740644957453e+156
-5.936809638808374e+152
-1.332209997956342e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04858
14858

end0.0ms

sample1.2s

Algorithm
intervals
Results
582.0ms8739×body80valid
181.0ms2908×body80nan

Profiling

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