Details

Time bar (total: 5.8s)

sample69.0ms

Algorithm
intervals
Results
15.0ms124×body320valid
14.0ms542×pre80true
12.0ms286×body80nan
7.0ms87×body160valid
3.0ms17×body640valid
1.0ms28×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

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: 53.3b

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))
0.3b
(* (* 3.0 a) c)
24.9b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
11.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
80.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419716
11930613
25002608

prune161.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh000
Picked011
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 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))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite71.0ms

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-- div-sub flip-- associate-/l/
associate-+l- frac-2neg clear-num *-commutative
flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
25.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 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))
29.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series334.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
129.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06843098
133092567
250012533

prune403.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1674171
Fresh112
Picked011
Done101
Total1696175

Merged error: 0b

Counts
175 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* (* 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)
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite76.0ms

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-- div-sub flip-- associate-/l/
associate-+l- frac-2neg associate-*l* clear-num *-commutative
flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
25.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
10.0ms
(* (* 3.0 a) c)
29.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series342.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms
(* (* 3.0 a) c)
25.0ms
(* (* 3.0 a) c)
127.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify111.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06273099
131392568
250022534

prune361.0ms

Filtered
171 candidates to 105 candidates (61.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh044
Picked011
Done011
Total1716177

Merged error: 0b

Counts
177 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
318×add-sqr-sqrt *-un-lft-identity
174×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
48×add-exp-log add-cbrt-cube
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
19×cbrt-undiv div-exp
14×pow1
12×prod-exp cbrt-unprod
10×associate-/r* associate-/r/
pow-prod-down
flip3-- flip--
associate-*r* associate-*l* add-log-exp
frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 364
Calls
4 calls:
25.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 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)))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
185.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012267115
150016759

prune741.0ms

Filtered
376 candidates to 218 candidates (58.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3760376
Fresh033
Picked011
Done022
Total3766382

Merged error: 0b

Counts
382 → 6

regimes116.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms

sample2.0s

Algorithm
intervals
Results
447.0ms3650×body320valid
441.0ms16430×pre80true
352.0ms8430×body80nan
240.0ms2925×body160valid
79.0ms488×body640valid
40.0ms937×body80valid

Profiling

Loading profile data...