Details

Time bar (total: 6.5s)

sample86.0ms

Algorithm
intervals
Results
15.0ms115×body320valid
14.0ms545×pre80true
13.0ms289×body80nan
12.0ms90×body160valid
3.0ms20×body640valid
1.0ms31×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune4.0ms

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: 52.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
25.8b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
5.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
136.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
43.0ms
(- (* b b) (* (* 4.0 a) c))
79.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0396773
11550683
25001673

prune310.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.1b

Counts
83 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
79.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
229.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
284.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06432667
132102408
250012396

prune610.0ms

Filtered
163 candidates to 106 candidates (65.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1585163
Fresh112
Picked101
Done000
Total1606166

Merged error: 0b

Counts
166 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-log-exp
9×*-un-lft-identity prod-exp cbrt-unprod
6×cbrt-undiv div-exp
5×pow1 add-cube-cbrt
4×flip3-- sqrt-prod flip--
3×diff-log
2×sub-neg sqrt-div associate-*r/ associate-/r/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 times-frac pow1/2 neg-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
50.0ms
(- (* b b) (* (* 4.0 a) c))
80.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
229.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0486952
12898750
25001742

prune331.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New82284
Fresh235
Picked101
Done000
Total85590

Merged error: 0b

Counts
90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ 4.0 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt *-un-lft-identity
23×add-exp-log
22×add-cube-cbrt
18×add-cbrt-cube
10×div-exp associate-/r* add-log-exp
7×cbrt-undiv
6×div-inv
4×pow1 prod-exp associate-/l*
3×flip3-- diff-log flip--
2×sub-neg frac-2neg 1-exp associate-*r/ clear-num cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log sqrt-prod associate-/r/
Counts
4 → 103
Calls
4 calls:
12.0ms
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(/ 4.0 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))

series381.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
43.0ms
(- (* b b) (* (* 4.0 a) c))
79.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
168.0ms
(/ 4.0 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05931359
125121192
250011191

prune441.0ms

Filtered
115 candidates to 85 candidates (73.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh134
Picked011
Done000
Total1155120

Merged error: 0b

Counts
120 → 5

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample2.2s

Algorithm
intervals
Results
484.0ms3610×body320valid
416.0ms16425×pre80true
369.0ms8425×body80nan
270.0ms2999×body160valid
83.0ms473×body640valid
42.0ms918×body80valid

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