Details

Time bar (total: 8.1s)

sample82.0ms

Algorithm
intervals
Results
20.0ms125×body320valid
14.0ms523×pre80true
13.0ms267×body80nan
8.0ms83×body160valid
3.0ms16×body640valid
2.0ms32×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.0b

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)
24.6b
(+ (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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(/ (+ (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 (44.0ms)

IterNodesCost
0417711
11922611
25002602

prune121.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.1b

Counts
86 → 5

localize15.0ms

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))

rewrite44.0ms

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))

series109.0ms

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

simplify118.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06282481
133222152
250022149

prune270.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh314
Picked101
Done000
Total1677174

Merged error: 0b

Counts
174 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
69×times-frac
68×add-cbrt-cube
51×add-sqr-sqrt *-un-lft-identity
45×div-exp
34×prod-exp
27×cbrt-undiv add-cube-cbrt
20×cbrt-unprod
13×associate-/r*
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
9×pow1
8×1-exp
7×div-inv
6×distribute-rgt-neg-in sqrt-prod
4×add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num associate-/l/
1×flip3-- div-sub associate-*r/ associate-*l* associate-/r/ *-commutative flip--
Counts
4 → 156
Calls
4 calls:
13.0ms
(/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
12.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
5.0ms
(* (* 3.0 a) c)
18.0ms
(/ (* 1 (/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

series99.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
21.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
3.0ms
(* (* 3.0 a) c)
32.0ms
(/ (* 1 (/ 3.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

simplify46.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08962472
150012044

prune227.0ms

Filtered
168 candidates to 97 candidates (42.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1662168
Fresh246
Picked011
Done000
Total1687175

Merged error: 0b

Counts
175 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
2694×times-frac
1306×add-sqr-sqrt *-un-lft-identity
874×add-cube-cbrt
224×associate-/l*
216×distribute-lft-out-- difference-of-squares
179×div-inv
108×distribute-rgt-neg-in sqrt-prod
77×associate-/r/
64×add-exp-log add-cbrt-cube
36×flip3-- flip--
35×cbrt-undiv div-exp
11×associate-/r*
9×pow1
8×prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num
2×associate-/l/
1×associate-*l* *-commutative
Counts
4 → 1090
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
54.0ms
(/ (/ (/ 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 3.0 (* a c))) a)
20.0ms
(/ (/ 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 3.0 (* a c)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 3.0 (* a c))
3.0ms
(* (* 3.0 a) c)
33.0ms
(/ (/ (/ 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 3.0 (* a c))) a)
47.0ms
(/ (/ 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 3.0 (* a c)))

simplify279.0ms

Algorithm
egg-herbie
Counts
1102 → 1102
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0353424869
1500224357

prune3.6s

Filtered
1102 candidates to 700 candidates (36.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New110021102
Fresh235
Picked011
Done011
Total110271109

Merged error: 0b

Counts
1109 → 7

regimes181.0ms

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
01912
11912

end0.0ms

sample2.4s

Algorithm
intervals
Results
532.0ms3689×body320valid
445.0ms16099×pre80true
397.0ms8099×body80nan
283.0ms2908×body160valid
96.0ms502×body640valid
45.0ms901×body80valid

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