Details

Time bar (total: 5.5s)

sample965.0ms

Algorithm
intervals
Results
14.0ms150×body160valid
8.0ms276×pre80true
5.0ms106×body80valid
1.0ms20×body80nan

simplify9.0ms

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: 28.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 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))))

rewrite31.0ms

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:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
10.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(/ (+ (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

prune118.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.5b

Counts
86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 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))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
pow1
associate-/r*
cbrt-undiv div-exp
associate-/r/ add-log-exp
prod-exp cbrt-unprod
flip3-- flip-- div-inv
associate-*l* pow-prod-down associate-/l/
frac-2neg clear-num
sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series115.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b b) (* (* 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))
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06512507
133122195
250012183

prune279.0ms

Filtered
102 candidates to 163 candidates (-59.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh224
Picked101
Done000
Total15810168

Merged error: 0b

Counts
168 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
pow1
associate-/r*
cbrt-undiv div-exp
associate-/r/ add-log-exp
prod-exp cbrt-unprod
flip3-- flip-- div-inv
associate-*r* pow-prod-down associate-/l/
frac-2neg clear-num
sub-neg flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series112.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
9.0ms
(- (* b b) (* (* 3.0 a) c))
54.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
46.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify121.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06312508
135202189
250032186

prune269.0ms

Filtered
102 candidates to 163 candidates (-59.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh279
Picked101
Done000
Total1649173

Merged error: 0b

Counts
173 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
669×times-frac
271×add-sqr-sqrt *-un-lft-identity
191×add-cube-cbrt
123×add-exp-log associate-/l*
74×div-exp
59×add-cbrt-cube
40×distribute-lft-out-- difference-of-squares
30×cbrt-undiv
28×div-inv
23×prod-exp
20×distribute-rgt-neg-in sqrt-prod
11×cbrt-unprod
pow1
rec-exp 1-exp
add-log-exp
associate-*r* pow-prod-down associate-/l/
flip3-- frac-2neg clear-num associate-/r* associate-/r/ flip--
sub-neg diff-log div-sub associate-*l* *-commutative
Counts
4 → 342
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
33.0ms
(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

series70.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
8.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.0ms
(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

simplify92.0ms

Algorithm
egg-herbie
Counts
354 → 354
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018656126
150015614

prune583.0ms

Filtered
201 candidates to 354 candidates (-76.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3540354
Fresh088
Picked011
Done000
Total3549363

Merged error: 0b

Counts
363 → 9

regimes273.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12013

end0.0ms

sample2.0s

Algorithm
intervals
Results
403.0ms4451×body160valid
250.0ms8524×pre80true
173.0ms3549×body80valid
25.0ms524×body80nan

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