Details

Time bar (total: 4.4s)

analyze269.0ms

Algorithm
search

sample45.0ms

Algorithm
intervals
Results
13.0ms138×body160valid
8.0ms287×pre80true
7.0ms51×body320valid
3.0ms67×body80valid
1.0ms31×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.0b

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)
0.3b
(/ (+ (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
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))
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))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
27.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25001602

prune136.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh000
Picked101
Done000
Total78886

Merged error: 0.3b

Counts
86 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite46.0ms

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-- flip-- associate-/l/
frac-2neg clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series109.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 a) c)
56.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
47.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify121.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
06282481
133222152
250022149

prune290.0ms

Filtered
104 candidates to 169 candidates (-62.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh527
Picked101
Done000
Total16611177

Merged error: 0.0b

Counts
177 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite47.0ms

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-- flip-- associate-/l/
frac-2neg associate-*l* clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
7.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series109.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
58.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
44.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify106.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
05712482
130602153
250032150

prune275.0ms

Filtered
103 candidates to 169 candidates (-64.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh3710
Picked011
Done000
Total17010180

Merged error: 0b

Counts
180 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
280×add-sqr-sqrt
254×*-un-lft-identity
168×add-cube-cbrt
117×add-exp-log
88×associate-*r*
77×add-cbrt-cube
60×div-exp
42×distribute-lft-out-- difference-of-squares
35×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
18×div-inv
16×associate-/r/
11×pow1
10×associate-/r*
unswap-sqr
flip3-- flip--
rec-exp 1-exp
pow-prod-down add-log-exp
frac-2neg clear-num *-commutative
frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 357
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
5.0ms
(* (* 3.0 a) c)
17.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series90.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(* (* 3.0 a) c)
35.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
49.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify81.0ms

Algorithm
egg-herbie
Counts
369 → 369
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015265405
150014609

prune606.0ms

Filtered
211 candidates to 369 candidates (-74.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3672369
Fresh268
Picked011
Done011
Total36910379

Merged error: 0b

Counts
379 → 10

regimes297.0ms

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
01710
11710

end0.0ms

analyze266.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
447.0ms4765×body160valid
259.0ms8846×pre80true
197.0ms1375×body320valid
94.0ms1860×body80valid
39.0ms846×body80nan

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