Details

Time bar (total: 1.9s)

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

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms4×body80nan
0.0ms1×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
037214
137214

prune10.0ms

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
(- (/ 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)
11.0ms
(* (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))

series28.0ms

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)))
12.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms
(/ 1.0 (* x 9.0))

simplify25.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050661178

prune166.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New871198
Fresh011
Picked011
Done000
Total8713100

Merged error: 0.0b

Counts
100 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
11.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series23.0ms

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

simplify26.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05031928

prune157.0ms

Filtered
64 candidates to 94 candidates (-46.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh5611
Picked101
Done101
Total9413107

Merged error: 0.0b

Counts
107 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.5b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
21×pow1
18×add-exp-log times-frac add-cbrt-cube
16×associate-*r*
13×associate-*l*
12×swap-sqr
8×sqrt-pow1 pow1/2
6×div-inv associate-/l* unswap-sqr
5×pow-prod-up
4×cbrt-undiv sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 128
Calls
4 calls:
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
4.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series16.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
2.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05471985

prune233.0ms

Filtered
87 candidates to 140 candidates (-60.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh11112
Picked011
Done000
Total14013153

Merged error: 0.0b

Counts
153 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1 x) (/ 1.0 9.0)) 1.0)
0.2b
(* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0)))
0.3b
(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0))))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
33×add-exp-log
26×*-un-lft-identity
25×times-frac
23×add-cbrt-cube
22×add-cube-cbrt associate-*l*
18×associate-*r*
13×pow1
12×prod-exp
8×div-exp cbrt-unprod unswap-sqr
7×associate-*r/
6×add-log-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×cbrt-undiv sqrt-prod
3×*-commutative
2×rec-exp flip3-+ 1-exp flip-+ div-inv
1×frac-times sub-neg flip3-- diff-log associate-*l/ flip-- distribute-lft-out
Counts
4 → 118
Calls
4 calls:
6.0ms
(- (* (/ 1 x) (/ 1.0 9.0)) 1.0)
11.0ms
(* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0)))
12.0ms
(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0))))
10.0ms
(* (/ 1 x) (/ 1.0 9.0))

series30.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* (/ 1 x) (/ 1.0 9.0)) 1.0)
10.0ms
(* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0)))
14.0ms
(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 x) (/ 1.0 9.0)) 1.0))))
2.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049931431
149931431

prune153.0ms

Filtered
88 candidates to 130 candidates (-47.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh2911
Picked101
Done011
Total13211143

Merged error: 0.0b

Counts
143 → 11

regimes141.0ms

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 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

analyze51.0ms

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

sample481.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid
5.0ms119×body80nan
3.0ms63×body80invalid

Profiling

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