Details

Time bar (total: 4.8s)

sample41.0ms

Algorithm
intervals
Results
19.0ms280×body80valid
5.0ms85×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

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: 20.9b

Counts
2 → 1

localize118.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.6b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(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:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
13.0ms
(+ (neg 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)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
81.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify112.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0246646
1890606
23702588
35001584

prune257.0ms

Filtered
75 candidates to 60 candidates (80.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New69675
Fresh000
Picked101
Done000
Total70676

Merged error: 7.5b

Counts
76 → 6

localize143.0ms

Local error

Found 4 expressions with local error:

11.4b
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite28.0ms

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:
7.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
6.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
90.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify112.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0232680
1883574
23567559
35001555

prune263.0ms

Filtered
70 candidates to 58 candidates (82.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh055
Picked011
Done000
Total70676

Merged error: 7.5b

Counts
76 → 6

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.5b
(/ (* a c) b)
4.1b
(/ (- (* 2.0 (/ (* a c) b)) (* 2 b)) (* 2.0 a))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity
9×add-cube-cbrt
8×add-log-exp
6×times-frac
5×pow1
4×cbrt-undiv div-exp associate-/r* sqrt-prod associate-/l*
3×flip3-- flip--
2×frac-2neg sqrt-div diff-log prod-exp clear-num cbrt-unprod div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 div-sub neg-log
Counts
4 → 78
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(/ (* a c) b)
9.0ms
(/ (- (* 2.0 (/ (* a c) b)) (* 2 b)) (* 2.0 a))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
19.0ms
(/ (* a c) b)
81.0ms
(/ (- (* 2.0 (/ (* a c) b)) (* 2 b)) (* 2.0 a))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0478706
12176625
25001623

prune308.0ms

Filtered
90 candidates to 66 candidates (73.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84690
Fresh224
Picked101
Done011
Total87996

Merged error: 7.4b

Counts
96 → 9

localize114.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ c b) (/ b a))
0.4b
(/ (* 2.0 c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.5b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×*-un-lft-identity
13×times-frac
10×add-log-exp difference-of-squares
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
7×add-cube-cbrt associate-/r*
6×sqrt-prod
5×pow1
4×flip3-- flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/r/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log prod-exp clear-num frac-sub cbrt-unprod div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
12.0ms
(- (/ c b) (/ b a))
16.0ms
(/ (* 2.0 c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ c b) (/ b a))
198.0ms
(/ (* 2.0 c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
72.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0435899
11643807
25002796

prune269.0ms

Filtered
95 candidates to 69 candidates (72.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New88795
Fresh347
Picked101
Done011
Total9212104

Merged error: 7.3b

Counts
104 → 12

regimes274.0ms

Accuracy

89.7% (1.4b remaining)

Error of 7.8b against oracle of 6.4b and baseline of 19.8b

bsearch153.0ms

Steps
ItersRangePoint
9
2.963097611750101e+115
1.522081122053798e+121
1.3033015282962092e+120
6
-1.555584016455579e+44
-1.807486675368764e+43
-1.359715603175437e+44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05362
15362

end0.0ms

sample1.1s

Algorithm
intervals
Results
604.0ms8767×body80valid
186.0ms2863×body80nan

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