Details

Time bar (total: 4.4s)

sample80.0ms

Algorithm
intervals
Results
16.0ms117×body320valid
14.0ms502×pre80true
11.0ms246×body80nan
9.0ms99×body160valid
3.0ms16×body640valid
1.0ms24×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.5b

Counts
2 → 1

localize11.0ms

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

rewrite32.0ms

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))
11.0ms
(/ (+ (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))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* 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))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0417711
11922611
25002602

prune112.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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))

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)
5.0ms
(* 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:
5.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
56.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
48.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify117.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune278.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh011
Picked101
Done101
Total1639172

Merged error: 0b

Counts
172 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 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
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:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
14.0ms
(/ (+ 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))

series112.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
60.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify107.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
05712483
130602153
250032150

prune260.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1663169
Fresh448
Picked101
Done000
Total1717178

Merged error: 0b

Counts
178 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))
0.4b
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
118×add-exp-log
77×add-cbrt-cube
68×times-frac
55×add-sqr-sqrt *-un-lft-identity
52×div-exp
44×prod-exp
30×cbrt-undiv
27×add-cube-cbrt
26×associate-/r*
25×cbrt-unprod
14×distribute-lft-out-- difference-of-squares
10×1-exp
9×pow1
8×add-log-exp
7×distribute-rgt-neg-in sqrt-prod
4×div-inv
3×associate-*r* pow-prod-down
2×frac-2neg diff-log clear-num associate-/l*
1×associate--l- neg-sub0 sub-neg flip3-- associate-*r/ associate-*l* neg-log associate-/r/ *-commutative flip-- associate-/l/
Counts
4 → 154
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(* (* 3.0 a) c)
19.0ms
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))
14.0ms
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

series128.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(* (* 3.0 a) c)
46.0ms
(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))
61.0ms
(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

simplify44.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08972344
150021887

prune169.0ms

Filtered
87 candidates to 166 candidates (-90.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1651166
Fresh246
Picked011
Done000
Total1676173

Merged error: 0b

Counts
173 → 6

regimes214.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113
12313
22313

end0.0ms

sample2.3s

Algorithm
intervals
Results
506.0ms3630×body320valid
434.0ms15985×pre80true
374.0ms7985×body80nan
284.0ms2974×body160valid
93.0ms492×body640valid
45.0ms904×body80valid

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