Details

Time bar (total: 5.0s)

sample61.0ms

Algorithm
intervals
Results
14.0ms531×pre80true
12.0ms152×body160valid
11.0ms275×body80nan
4.0ms104×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

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: 28.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.8b
(+ (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
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:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
103.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419716
11930613
25002608

prune180.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh000
Picked101
Done000
Total77986

Merged error: 0.4b

Counts
86 → 9

localize17.0ms

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))

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
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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
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)))))
5.0ms
(* 3.0 (* a c))
30.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series328.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
159.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms
(* 3.0 (* a c))
124.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06843098
133092567
250012533

prune432.0ms

Filtered
171 candidates to 106 candidates (62.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15813171
Fresh808
Picked101
Done000
Total16713180

Merged error: 0.0b

Counts
180 → 13

localize16.0ms

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))

rewrite77.0ms

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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
26.0ms
(/ (+ (- (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)
33.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series331.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ (+ (- (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))

simplify113.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06273099
131392568
250022534

prune384.0ms

Filtered
171 candidates to 104 candidates (60.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1701171
Fresh11112
Picked011
Done000
Total17113184

Merged error: 0.0b

Counts
184 → 13

localize16.0ms

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

rewrite58.0ms

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
9×add-cube-cbrt pow-prod-down
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-*l* *-commutative associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×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)
29.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
16.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
20.0ms
(* (* 3.0 a) c)
129.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
107.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
04631134
12730851
25001827

prune217.0ms

Filtered
104 candidates to 65 candidates (62.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh5611
Picked101
Done011
Total10710117

Merged error: 0b

Counts
117 → 10

regimes189.0ms

Accuracy

0% (0.4b 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 (0.0ms)

IterNodesCost
02919
14019
24819
34819

end0.0ms

sample1.7s

Algorithm
intervals
Results
432.0ms16593×pre80true
366.0ms4473×body160valid
358.0ms8593×body80nan
155.0ms3527×body80valid

Profiling

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