Details

Time bar (total: 4.9s)

sample72.0ms

Algorithm
intervals
Results
14.0ms209×body80nan
14.0ms149×body160valid
14.0ms465×pre80true
6.0ms47×body320valid
3.0ms60×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 43.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.4b
(+ (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
pow1
add-sqr-sqrt add-cube-cbrt
distribute-lft-out
times-frac associate-/l*
prod-exp cbrt-unprod
distribute-rgt-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-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:
5.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune132.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78785
Fresh000
Picked011
Done000
Total78886

Merged error: 0.2b

Counts
86 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (/ (+ 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
prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp
pow-prod-down associate-/r/
associate-*r* associate-*l* div-inv add-log-exp
flip3-- flip-- associate-/l/
frac-2neg clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* 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))

series143.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
54.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify172.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
06282481
133262152
250032149

prune324.0ms

Filtered
104 candidates to 169 candidates (-62.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh516
Picked101
Done101
Total16710177

Merged error: 0.0b

Counts
177 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (/ (+ 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
prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp
associate-*r* pow-prod-down associate-/r/
div-inv add-log-exp
flip3-- flip-- associate-/l/
frac-2neg associate-*l* clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* (* 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))

series108.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
46.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify107.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
05712482
130602153
250032150

prune271.0ms

Filtered
101 candidates to 169 candidates (-67.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh189
Picked011
Done000
Total16910179

Merged error: 0b

Counts
179 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3.0 (/ 3.0 (* a c)))
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.4b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
280×add-sqr-sqrt
254×*-un-lft-identity
168×add-cube-cbrt
117×add-exp-log
88×associate-*r*
77×add-cbrt-cube
60×div-exp
42×distribute-lft-out-- difference-of-squares
35×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
18×div-inv
16×associate-/r/
11×pow1
10×associate-/r*
unswap-sqr
flip3-- flip--
rec-exp 1-exp
pow-prod-down add-log-exp
frac-2neg clear-num *-commutative
frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 357
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)
56.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series89.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
39.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(* (* 3.0 a) c)
43.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify81.0ms

Algorithm
egg-herbie
Counts
369 → 369
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015265405
150014609

prune569.0ms

Filtered
212 candidates to 369 candidates (-74.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3663369
Fresh358
Picked101
Done011
Total3709379

Merged error: 0b

Counts
379 → 9

regimes288.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
12013
22013

end0.0ms

sample2.1s

Algorithm
intervals
Results
453.0ms4874×body160valid
446.0ms16142×pre80true
384.0ms8142×body80nan
181.0ms1340×body320valid
88.0ms1786×body80valid

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