Details

Time bar (total: 2.0s)

analyze52.0ms

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

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms4×body80invalid
0.0ms3×body80nan

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0500814

prune11.0ms

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: 0.2b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
11×pow1
10×add-cube-cbrt
9×associate-*l*
6×associate-*r/ associate-*r* add-log-exp
5×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-+ div-exp *-commutative flip-+ distribute-lft-out distribute-lft-out-- unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- div-inv difference-of-squares
Counts
4 → 86
Calls
4 calls:
6.0ms
(- (/ 1.0 (* x 9.0)) 1.0)
12.0ms
(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
15.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
4.0ms
(/ 1.0 (* x 9.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (/ 1.0 (* x 9.0)) 1.0)
10.0ms
(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
11.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms
(/ 1.0 (* x 9.0))

simplify32.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
061171190

prune188.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh011
Picked101
Done000
Total8911100

Merged error: 0.0b

Counts
100 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 82
Calls
4 calls:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
5.0ms
(* 3.0 (sqrt x))
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))

series22.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05355938

prune164.0ms

Filtered
65 candidates to 94 candidates (-44.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New89594
Fresh6410
Picked101
Done000
Total969105

Merged error: 0.0b

Counts
105 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ 0.1111111111111111 x))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ difference-of-squares
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ y (/ 0.1111111111111111 x))
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms
(* 3.0 (sqrt x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ y (/ 0.1111111111111111 x))
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
4.0ms
(* 3.0 (sqrt x))

simplify24.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05153708

prune124.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh178
Picked011
Done000
Total691079

Merged error: 0.0b

Counts
79 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
0.3b
(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
32×pow1
27×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
16×*-un-lft-identity
15×add-sqr-sqrt
12×associate-*l*
11×add-cube-cbrt
8×associate-*r*
6×associate-*r/ associate-*l/
4×cbrt-prod add-log-exp
3×flip3-+ times-frac sqrt-prod *-commutative flip-+ associate-/l*
2×cbrt-undiv div-exp distribute-lft-out unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out--
Counts
4 → 100
Calls
4 calls:
18.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
12.0ms
(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
4.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
7.0ms
(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
2.0ms
(/ 1.0 (* x 9.0))
18.0ms
(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049531546
149531546

prune183.0ms

Filtered
71 candidates to 112 candidates (-57.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh088
Picked011
Done011
Total11111122

Merged error: 0b

Counts
122 → 11

regimes148.0ms

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
05912
15912

end0.0ms

sample497.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid
6.0ms150×body80nan
4.0ms85×body80invalid

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