Details

Time bar (total: 5.1s)

sample71.0ms

Algorithm
intervals
Results
15.0ms122×body320valid
15.0ms546×pre80true
12.0ms290×body80nan
8.0ms95×body160valid
2.0ms12×body640valid
1.0ms27×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: 53.6b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 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)
28.1b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

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)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
104.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
81.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune157.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh000
Picked101
Done000
Total83386

Merged error: 0.1b

Counts
86 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:
5.0ms
(* (* 3.0 a) c)
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))
29.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series325.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
162.0ms
(/ (+ (- (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))
123.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06843098
133092567
250012533

prune397.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1656171
Fresh112
Picked101
Done000
Total1677174

Merged error: 0b

Counts
174 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

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:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
25.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
31.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series335.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
20.0ms
(* (* 3.0 a) c)
165.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
131.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify106.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06273099
131392568
250022534

prune351.0ms

Filtered
171 candidates to 106 candidates (62.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1692171
Fresh336
Picked011
Done000
Total1726178

Merged error: 0b

Counts
178 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
13×add-sqr-sqrt *-un-lft-identity associate-*r*
12×prod-exp cbrt-unprod
add-cube-cbrt pow-prod-down
associate-*r/ add-log-exp
cbrt-undiv times-frac div-exp associate-*l* *-commutative associate-/l*
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
associate-+l- distribute-rgt-neg-in frac-2neg flip3-+ div-sub clear-num associate-/r* sqrt-prod flip-+ div-inv
Counts
4 → 92
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
12.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
30.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
107.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
125.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify90.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
04631134
12768843
25003827

prune196.0ms

Filtered
104 candidates to 65 candidates (62.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh044
Picked011
Done011
Total1046110

Merged error: 0b

Counts
110 → 6

regimes116.0ms

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
02116
12116

end0.0ms

sample2.0s

Algorithm
intervals
Results
457.0ms3639×body320valid
446.0ms16224×pre80true
348.0ms8224×body80nan
246.0ms2910×body160valid
89.0ms520×body640valid
42.0ms931×body80valid

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