Details

Time bar (total: 2.2s)

analyze49.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
31.2%31.2%37.6%6
37.5%25%37.6%7
40.6%15.6%43.8%8
42.9%11.7%45.4%9
44.1%7.4%48.5%10
45.1%5.7%49.3%11
45.6%3.6%50.8%12
46%2.8%51.2%13
46.2%1.8%52%14

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms5×body80nan
0.0ms2×body80invalid

simplify157.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
0481914
1481914

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
9×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod distribute-lft-out--
3×sub-neg times-frac associate--l+ associate-/l*
2×cbrt-undiv distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*r/ div-exp *-commutative flip-- distribute-lft-out difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* sum-log div-inv
Counts
4 → 86
Calls
4 calls:
7.0ms
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify25.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
052411026

prune156.0ms

Filtered
68 candidates to 98 candidates (-44.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New871198
Fresh011
Picked101
Done000
Total8812100

Merged error: 0.0b

Counts
100 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
60×*-un-lft-identity
58×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×associate-/l*
12×associate-*r*
11×pow1
9×add-log-exp
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod distribute-lft-out--
3×cbrt-undiv sub-neg div-exp associate--l+ associate-/r*
2×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*r/ *-commutative flip-- distribute-lft-out difference-of-squares unswap-sqr
1×frac-2neg clear-num sum-log associate-/l/
Counts
4 → 135
Calls
4 calls:
15.0ms
(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
19.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
2.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

simplify32.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
053831655

prune227.0ms

Filtered
110 candidates to 147 candidates (-33.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1452147
Fresh2911
Picked101
Done000
Total14811159

Merged error: 0.0b

Counts
159 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0))))
0.3b
(/ (/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* x (* (cbrt 9.0) (cbrt 9.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
45×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
34×add-exp-log
24×cbrt-prod add-cbrt-cube
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l*
9×div-inv
7×associate-*r* associate-/r*
6×associate-*l*
4×pow-prod-down sqrt-prod add-log-exp
3×unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 138
Calls
4 calls:
8.0ms
(/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0))))
11.0ms
(/ (/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
4.0ms
(* 3.0 (sqrt x))
7.0ms
(* x (* (cbrt 9.0) (cbrt 9.0)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0))))
13.0ms
(/ (/ 1.0 (* x (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
4.0ms
(* 3.0 (sqrt x))
10.0ms
(* x (* (cbrt 9.0) (cbrt 9.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049561662
149561662

prune315.0ms

Filtered
114 candidates to 150 candidates (-31.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1500150
Fresh01010
Picked011
Done000
Total15011161

Merged error: 0.0b

Counts
161 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt x) 9.0)
0.3b
(/ 1.0 (* (sqrt x) 9.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (/ 1 (sqrt x)) (/ 1.0 (* (sqrt x) 9.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
47×add-sqr-sqrt
34×add-cbrt-cube
31×associate-*l*
29×*-un-lft-identity
28×times-frac
27×add-cube-cbrt
19×prod-exp sqrt-prod
16×div-exp associate-*r*
11×cbrt-unprod
10×pow1
9×cbrt-undiv unswap-sqr
4×add-log-exp
3×rec-exp 1-exp pow-prod-down *-commutative div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 129
Calls
4 calls:
5.0ms
(* (sqrt x) 9.0)
5.0ms
(/ 1.0 (* (sqrt x) 9.0))
5.0ms
(* 3.0 (sqrt x))
13.0ms
(* (/ 1 (sqrt x)) (/ 1.0 (* (sqrt x) 9.0)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (sqrt x) 9.0)
8.0ms
(/ 1.0 (* (sqrt x) 9.0))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(* (/ 1 (sqrt x)) (/ 1.0 (* (sqrt x) 9.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
054481123

prune148.0ms

Filtered
96 candidates to 141 candidates (-46.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1401141
Fresh189
Picked011
Done011
Total14111152

Merged error: 0.0b

Counts
152 → 11

regimes132.0ms

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 (1.0ms)

IterNodesCost
02921
12921

end0.0ms

sample493.0ms

Algorithm
intervals
Results
349.0ms8000×body80valid
4.0ms104×body80nan
3.0ms71×body80invalid

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