Details

Time bar (total: 2.1s)

analyze45.0ms

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

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms4×body80invalid
0.0ms1×body80nan

simplify154.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (152.0ms)

IterNodesCost
0481914
1481914

prune9.0ms

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 3 expressions with local error:

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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×associate-*r*
10×pow1
9×add-cube-cbrt
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×times-frac associate-/l* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
3 → 70
Calls
3 calls:
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))

series19.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (* 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))

simplify26.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05121792

prune133.0ms

Filtered
54 candidates to 79 candidates (-46.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New70979
Fresh011
Picked101
Done000
Total711081

Merged error: 0.0b

Counts
81 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

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))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1
9×add-cube-cbrt associate-*l*
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l* add-log-exp
2×cbrt-undiv flip3-+ div-exp *-commutative flip-+ distribute-lft-out unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out--
Counts
3 → 73
Calls
3 calls:
12.0ms
(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
4.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
2.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

simplify25.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
053581024

prune166.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh279
Picked011
Done000
Total821092

Merged error: 0b

Counts
92 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
55×add-sqr-sqrt
54×*-un-lft-identity
49×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×associate-/l*
12×associate-*r*
10×pow1
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×flip3-- frac-2neg clear-num flip-- associate-/l/ distribute-lft-out difference-of-squares
Counts
3 → 119
Calls
3 calls:
22.0ms
(* (* 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))

series18.0ms

Counts
3 → 9
Calls
3 calls:
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))

simplify31.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
052541421

prune198.0ms

Filtered
97 candidates to 128 candidates (-32.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh178
Picked011
Done011
Total12810138

Merged error: 0b

Counts
138 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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))))
4.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
13.0ms
(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))))
2.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0))
17.0ms
(* (sqrt x) (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (cbrt 3.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049681521
149681521

prune348.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh167
Picked011
Done022
Total11210122

Merged error: 0b

Counts
122 → 10

regimes126.0ms

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
02614
12614

end0.0ms

sample456.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid
5.0ms131×body80nan
3.0ms73×body80invalid

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