Details

Time bar (total: 5.1s)

sample67.0ms

Algorithm
intervals
Results
15.0ms545×pre80true
13.0ms161×body160valid
12.0ms289×body80nan
7.0ms39×body320valid
2.0ms56×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: 43.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.6b
(+ (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))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
107.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419716
11930613
25002608

prune164.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.3b

Counts
86 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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
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)
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))

series334.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
23.0ms
(* 3.0 (* a c))
161.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 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))

simplify115.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06843098
133092567
250012533

prune427.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New16011171
Fresh213
Picked101
Done000
Total16312175

Merged error: 0.0b

Counts
175 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
136×add-sqr-sqrt
121×*-un-lft-identity
113×add-exp-log
73×add-cbrt-cube
59×add-cube-cbrt associate-*r*
45×div-exp
41×prod-exp
30×distribute-lft-out-- difference-of-squares
26×cbrt-undiv
25×cbrt-unprod
18×div-inv
17×associate-*l*
16×pow1
15×distribute-rgt-neg-in sqrt-prod
7×pow-prod-down associate-/r* associate-/l*
6×unswap-sqr
5×rec-exp 1-exp
4×associate-/r/ add-log-exp
3×*-commutative
2×flip3-- flip--
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l/
Counts
4 → 236
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
36.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
147.0ms
(/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
151.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010233615
150013062

prune475.0ms

Filtered
248 candidates to 135 candidates (54.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2435248
Fresh7411
Picked011
Done000
Total25010260

Merged error: 0b

Counts
260 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.1b
(/ (* a c) a)
0.1b
(/ (/ (* a c) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b
(* (* 3.0 a) c)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
63×add-sqr-sqrt *-un-lft-identity
31×add-cube-cbrt
23×add-exp-log add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
10×associate-/r* div-inv
9×pow1
8×distribute-rgt-neg-in sqrt-prod associate-/l*
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod
3×associate-*r* pow-prod-down
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 133
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(/ (* a c) a)
14.0ms
(/ (/ (* a c) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)

series218.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
9.0ms
(/ (* a c) a)
144.0ms
(/ (/ (* a c) a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms
(* (* 3.0 a) c)

simplify81.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05801682
128681545
250021530

prune286.0ms

Filtered
145 candidates to 91 candidates (62.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh358
Picked101
Done011
Total1469155

Merged error: 0b

Counts
155 → 9

regimes157.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1218
2218

end0.0ms

sample1.8s

Algorithm
intervals
Results
442.0ms16479×pre80true
423.0ms4967×body160valid
358.0ms8479×body80nan
168.0ms1346×body320valid
77.0ms1687×body80valid

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