Details

Time bar (total: 3.9s)

analyze272.0ms

Algorithm
search

sample54.0ms

Algorithm
intervals
Results
18.0ms122×body320valid
13.0ms100×body160valid
8.0ms281×pre80true
2.0ms9×body640valid
1.0ms25×body80valid
1.0ms25×body80nan

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: 52.6b

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)
27.9b
(+ (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
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:
6.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series54.0ms

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))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417711
11922611
25002602

prune116.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

localize17.0ms

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))

rewrite45.0ms

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)))))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series113.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
57.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
49.0ms
(/ (/ (+ 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 (94.0ms)

IterNodesCost
06282482
133222152
250022149

prune285.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1609169
Fresh213
Picked101
Done000
Total16310173

Merged error: 0b

Counts
173 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
158×add-exp-log
100×add-cbrt-cube
79×prod-exp
47×cbrt-unprod
44×div-exp
25×cbrt-undiv
21×add-sqr-sqrt
17×associate-*l*
16×pow1
15×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×associate-*r*
7×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×associate-/r/ add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- flip--
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
19.0ms
(* (/ 1 3.0) (/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
15.0ms
(/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
45.0ms
(* (/ 1 3.0) (/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
48.0ms
(/ (* 3.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07752136
150011493

prune170.0ms

Filtered
74 candidates to 152 candidates (-105.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1484152
Fresh639
Picked101
Done000
Total1557162

Merged error: 0b

Counts
162 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c)
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.3b
(* (* 3.0 a) c)
0.3b
(/ 1 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
36×times-frac
27×add-sqr-sqrt *-un-lft-identity
23×add-cube-cbrt add-cbrt-cube
20×div-exp
11×prod-exp
10×pow1 associate-/r*
8×1-exp add-log-exp
7×cbrt-undiv
6×div-inv
5×cbrt-unprod
4×rec-exp associate-/l*
3×associate-*r* pow-prod-down
2×flip3-- frac-2neg diff-log associate-*r/ clear-num flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg pow-flip distribute-rgt-neg-in associate-*l* neg-log sqrt-prod associate-/r/ *-commutative inv-pow
Counts
4 → 119
Calls
4 calls:
12.0ms
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c)
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ 1 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

series73.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c)
16.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(* (* 3.0 a) c)
35.0ms
(/ 1 (/ (* 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

simplify70.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05841405
126051186
250011145

prune148.0ms

Filtered
73 candidates to 131 candidates (-79.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1283131
Fresh336
Picked011
Done000
Total1317138

Merged error: 0b

Counts
138 → 7

regimes241.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1228
2228

end0.0ms

analyze268.0ms

Algorithm
search

sample1.5s

Algorithm
intervals
Results
546.0ms3573×body320valid
307.0ms3013×body160valid
255.0ms8753×pre80true
97.0ms461×body640valid
50.0ms953×body80valid
38.0ms753×body80nan

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