Details

Time bar (total: 5.3s)

sample81.0ms

Algorithm
intervals
Results
15.0ms270×body80nan
15.0ms113×body320valid
14.0ms526×pre80true
9.0ms96×body160valid
4.0ms22×body640valid
1.0ms25×body80valid

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: 54.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
29.0b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(* (* 3.0 a) c)
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25002602

prune113.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh000
Picked011
Done000
Total83386

Merged error: 0.1b

Counts
86 → 3

localize14.0ms

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
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-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
13.0ms
(/ (+ 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))

series110.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
55.0ms
(/ (+ 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))

simplify114.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06282482
133262152
250032149

prune273.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh011
Picked101
Done101
Total1657172

Merged error: 0b

Counts
172 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
15.0ms
(/ (+ 0 (* (* 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)
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:
58.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
44.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify104.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
05712482
130602153
250032150

prune261.0ms

Filtered
102 candidates to 169 candidates (-65.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1690169
Fresh066
Picked011
Done000
Total1697176

Merged error: 0b

Counts
176 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* 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))))) (sqrt (* (* 3.0 a) c)))
0.4b
(/ (/ (sqrt (+ 0 (* 3.0 (* a c)))) 1) (/ (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (* (* 3.0 a) c))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
434×times-frac
175×add-sqr-sqrt *-un-lft-identity
171×add-cube-cbrt
107×sqrt-prod
69×add-exp-log
55×add-cbrt-cube
34×div-inv
32×div-exp
23×associate-/l*
21×cbrt-undiv
18×prod-exp
15×cbrt-unprod
14×pow1
12×associate-/r*
10×associate-*r*
6×pow-prod-down
4×1-exp associate-*r/ add-log-exp
3×associate-/l/
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in associate-*l* clear-num *-commutative flip-- distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in associate-/r/
Counts
4 → 311
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
13.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(/ (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (* (* 3.0 a) c)))
27.0ms
(/ (/ (sqrt (+ 0 (* 3.0 (* a c)))) 1) (/ (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (* (* 3.0 a) c))))

series174.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
27.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
68.0ms
(/ (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (* (* 3.0 a) c)))
76.0ms
(/ (/ (sqrt (+ 0 (* 3.0 (* a c)))) 1) (/ (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (* (* 3.0 a) c))))

simplify99.0ms

Algorithm
egg-herbie
Counts
323 → 323
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016168280
150017696

prune964.0ms

Filtered
219 candidates to 323 candidates (-47.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3230323
Fresh055
Picked011
Done011
Total3237330

Merged error: 0b

Counts
330 → 7

regimes242.0ms

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
01813
12013
22013

end0.0ms

sample2.3s

Algorithm
intervals
Results
491.0ms3632×body320valid
439.0ms16033×pre80true
368.0ms8033×body80nan
275.0ms2961×body160valid
92.0ms504×body640valid
46.0ms903×body80valid

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