Details

Time bar (total: 2.3s)

analyze89.0ms

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

sample38.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
0.0ms4×body80nan
0.0ms1×body80invalid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize9.0ms

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

rewrite27.0ms

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×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg 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 → 84
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))
4.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series22.0ms

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))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify68.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0508558
12557503
25001501

prune153.0ms

Filtered
64 candidates to 96 candidates (-50.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New841296
Fresh000
Picked101
Done000
Total851297

Merged error: 0.0b

Counts
97 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×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×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
11.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))
11.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
10.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0530786
12273716
25001716

prune152.0ms

Filtered
69 candidates to 110 candidates (-59.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1073110
Fresh2911
Picked101
Done000
Total11012122

Merged error: 0.0b

Counts
122 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
7×add-cube-cbrt associate-*r*
6×sub-neg associate-*r/ associate--l+
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ difference-of-squares
Counts
3 → 77
Calls
3 calls:
6.0ms
(+ y (/ 0.1111111111111111 x))
11.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
14.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ y (/ 0.1111111111111111 x))
10.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
12.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0446618
11808563
25001563

prune246.0ms

Filtered
51 candidates to 86 candidates (-68.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh3811
Picked011
Done000
Total871198

Merged error: 0.0b

Counts
98 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
28×sqrt-pow1
26×add-sqr-sqrt
22×pow-prod-down
16×add-cube-cbrt *-un-lft-identity associate-*r*
15×add-exp-log add-cbrt-cube
12×sqrt-prod
10×pow1/2 associate-*l* pow-prod-up
6×pow-sqr
5×unswap-sqr
4×swap-sqr prod-exp cbrt-unprod add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv div-exp
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num associate-/r* rem-square-sqrt div-inv
Counts
4 → 114
Calls
4 calls:
7.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))
8.0ms
(* 3.0 (sqrt x))
18.0ms
(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1.0 (* x 9.0))
6.0ms
(* 3.0 (sqrt x))
6.0ms
(* 3.0 (sqrt x))
12.0ms
(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

simplify57.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0355473
11859416
25001408

prune145.0ms

Filtered
73 candidates to 126 candidates (-72.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh279
Picked101
Done011
Total12710137

Merged error: 0.0b

Counts
137 → 10

regimes190.0ms

Accuracy

0% (0.3b 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
0178
1178

end0.0ms

analyze46.0ms

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

sample563.0ms

Algorithm
intervals
Results
399.0ms8000×body80valid
7.0ms138×body80nan
3.0ms71×body80invalid

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