Details

Time bar (total: 8.0s)

sample81.0ms

Algorithm
intervals
Results
14.0ms119×body320valid
14.0ms519×pre80true
12.0ms97×body160valid
11.0ms263×body80nan
3.0ms21×body640valid
1.0ms19×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

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: 54.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
26.7b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* b b) (* (* 3.0 a) c))
169.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
99.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25002602

prune331.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh000
Picked101
Done000
Total84286

Merged error: 0.1b

Counts
86 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series673.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
337.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
24.0ms
(* 3.0 (* a c))
284.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune909.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh011
Picked101
Done000
Total16110171

Merged error: 0b

Counts
171 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series665.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
336.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
277.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify104.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
05712483
130602153
250032150

prune858.0ms

Filtered
169 candidates to 103 candidates (39.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1654169
Fresh639
Picked101
Done000
Total1727179

Merged error: 0b

Counts
179 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 3.0 a) c)
0.3b
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
0.4b
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
26×times-frac
24×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/ associate-/r/
8×associate-/l*
6×associate-*r* pow-prod-down div-inv
5×flip3-- flip--
4×associate-/r* add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×associate-/l/
Counts
4 → 119
Calls
4 calls:
4.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
15.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
14.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
276.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
338.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
05821851
139051423
250011398

prune455.0ms

Filtered
131 candidates to 79 candidates (39.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1292131
Fresh246
Picked011
Done000
Total1317138

Merged error: 0b

Counts
138 → 7

regimes303.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01612
11612

end0.0ms

sample2.1s

Algorithm
intervals
Results
453.0ms3687×body320valid
420.0ms16254×pre80true
346.0ms8254×body80nan
243.0ms2933×body160valid
83.0ms516×body640valid
39.0ms864×body80valid

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