Details

Time bar (total: 2.0s)

analyze124.0ms

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%99.9%0.1%4
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms6×body80invalid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
0510811

prune8.0ms

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
13.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
6.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050611226

prune137.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New957102
Fresh011
Picked101
Done000
Total968104

Merged error: 0.0b

Counts
104 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b
(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
266×times-frac
260×*-un-lft-identity
138×add-sqr-sqrt
124×add-cube-cbrt
71×associate-*r*
67×distribute-lft-out
36×add-exp-log
26×associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×flip3-+ flip-+ div-inv
7×pow1 cbrt-undiv prod-exp associate-/l*
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 264
Calls
4 calls:
9.0ms
(+ (/ x y) 1.0)
13.0ms
(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
26.0ms
(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms
(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049703927
149703927

prune329.0ms

Filtered
156 candidates to 276 candidates (-76.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2733276
Fresh347
Picked101
Done000
Total2777284

Merged error: 0.0b

Counts
284 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*l*
10×add-exp-log add-cbrt-cube
9×distribute-lft-out
5×pow1 flip3-+ flip-+ add-log-exp
4×associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 89
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
5.0ms
(/ x (+ x 1.0))
15.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
3.0ms
(/ x (+ x 1.0))
9.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049661053
149661053

prune132.0ms

Filtered
73 candidates to 98 candidates (-34.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh156
Picked011
Done000
Total969105

Merged error: 0b

Counts
105 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
8.0ms
(+ (/ x y) 1.0)
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
6.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050052760

prune178.0ms

Filtered
108 candidates to 167 candidates (-54.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1652167
Fresh347
Picked011
Done011
Total1688176

Merged error: 0b

Counts
176 → 8

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

sample392.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
10.0ms267×body80invalid

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