Details

Time bar (total: 5.7s)

sample64.0ms

Algorithm
intervals
Results
15.0ms555×pre80true
14.0ms140×body160valid
12.0ms299×body80nan
5.0ms116×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: 28.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
28.4b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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:
4.0ms
(- (* 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))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
106.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (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

prune167.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.5b

Counts
86 → 6

localize17.0ms

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))

rewrite72.0ms

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)
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)))))
30.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series330.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
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)))))
128.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify114.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06843098
133092567
250012533

prune417.0ms

Filtered
171 candidates to 106 candidates (62.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New15912171
Fresh505
Picked101
Done000
Total16512177

Merged error: 0.0b

Counts
177 → 12

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))

series331.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
164.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
128.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify108.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06273099
131392568
250022534

prune372.0ms

Filtered
171 candidates to 103 candidates (60.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1674171
Fresh5611
Picked101
Done000
Total17310183

Merged error: 0b

Counts
183 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
438×times-frac
272×add-sqr-sqrt *-un-lft-identity
226×distribute-rgt-neg-in
188×distribute-lft-neg-in
120×add-cube-cbrt associate-/l*
76×distribute-lft-out-- difference-of-squares
74×neg-mul-1
38×sqrt-prod
28×add-exp-log add-cbrt-cube
19×associate-/r*
14×pow1
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*r* pow-prod-down associate-/r/ distribute-neg-frac
div-inv add-log-exp
flip3-- div-sub distribute-frac-neg flip--
neg-sub0 frac-2neg associate-*l* clear-num *-commutative
associate-/l/
Counts
4 → 434
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
14.0ms
(/ (neg (* (* 3.0 a) c)) (neg (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
32.0ms
(/ (/ (neg (* (* 3.0 a) c)) (neg (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series391.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
25.0ms
(* (* 3.0 a) c)
191.0ms
(/ (neg (* (* 3.0 a) c)) (neg (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
155.0ms
(/ (/ (neg (* (* 3.0 a) c)) (neg (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify98.0ms

Algorithm
egg-herbie
Counts
446 → 446
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011827770
150017490

prune812.0ms

Filtered
446 candidates to 262 candidates (58.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4424446
Fresh459
Picked101
Done000
Total4479456

Merged error: 0b

Counts
456 → 9

regimes155.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02614
13014
23014

end0.0ms

sample1.7s

Algorithm
intervals
Results
447.0ms16455×pre80true
387.0ms4533×body160valid
358.0ms8455×body80nan
162.0ms3467×body80valid

Profiling

Loading profile data...