Details

Time bar (total: 3.6s)

analyze268.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample50.0ms

Algorithm
intervals
Results
16.0ms128×body160valid
9.0ms60×body320valid
8.0ms286×pre80true
4.0ms68×body80valid
1.0ms30×body80nan

simplify172.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
0179416
1179416

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 42.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
34.6b
(+ (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 → 72
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
13.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
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))
4.0ms
(* (* 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))))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049611115
149611115

prune141.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh000
Picked101
Done000
Total80585

Merged error: 0.3b

Counts
85 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
34×times-frac
28×add-sqr-sqrt *-un-lft-identity
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×pow1 associate-/l*
12×add-cube-cbrt
8×associate-/r* distribute-lft-out-- difference-of-squares
6×associate-*l* pow-prod-down associate-/r/
4×distribute-rgt-neg-in sqrt-prod div-inv add-log-exp
3×flip3-- flip--
2×frac-2neg associate-*r* clear-num *-commutative
1×associate-/l/
Counts
4 → 123
Calls
4 calls:
15.0ms
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms
(* 3.0 (* a c))
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series112.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (* 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))
46.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify61.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049602225
149602225

prune208.0ms

Filtered
76 candidates to 135 candidates (-77.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1278135
Fresh314
Picked101
Done000
Total1319140

Merged error: 0.0b

Counts
140 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
35×*-un-lft-identity
28×associate-*r*
25×times-frac
23×add-exp-log add-cbrt-cube
19×add-cube-cbrt
11×pow1
8×distribute-lft-out-- add-log-exp difference-of-squares
7×prod-exp cbrt-unprod
6×associate-*l*
5×cbrt-undiv div-exp
4×distribute-rgt-neg-in pow-prod-down sqrt-prod
3×associate-/r*
2×flip3-- diff-log associate-*r/ associate-/r/ *-commutative flip-- div-inv unswap-sqr
1×associate--l- neg-sub0 sub-neg frac-2neg neg-log clear-num associate-/l/ associate-/l*
Counts
4 → 105
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
16.0ms
(* a (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
15.0ms
(/ (* a (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) a)
5.0ms
(* 3.0 (* a c))

series120.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
58.0ms
(* a (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
43.0ms
(/ (* a (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) a)
3.0ms
(* 3.0 (* a c))

simplify64.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049511708
149511708

prune185.0ms

Filtered
76 candidates to 117 candidates (-53.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1134117
Fresh448
Picked011
Done000
Total1179126

Merged error: 0b

Counts
126 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
57×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
23×add-exp-log add-cbrt-cube
14×associate-/l* distribute-lft-out-- difference-of-squares
10×associate-/r* associate-/r/
9×pow1
8×add-log-exp
7×cbrt-undiv distribute-rgt-neg-in div-exp sqrt-prod
6×flip3-- flip-- div-inv
5×prod-exp cbrt-unprod
3×associate-*l* pow-prod-down
2×frac-2neg diff-log clear-num
1×associate--l- neg-sub0 sub-neg associate-*r* neg-log *-commutative associate-/l/
Counts
4 → 138
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
16.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a)
11.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms
(* 3.0 (* a c))

series120.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
45.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a)
55.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms
(* 3.0 (* a c))

simplify66.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049523084
149523084

prune193.0ms

Filtered
97 candidates to 150 candidates (-54.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1473150
Fresh347
Picked011
Done101
Total1518159

Merged error: 0b

Counts
159 → 8

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012515
112515

end0.0ms

sample1.3s

Algorithm
intervals
Results
515.0ms4866×body160valid
258.0ms8891×pre80true
210.0ms1365×body320valid
100.0ms1769×body80valid
46.0ms891×body80nan

Profiling

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