Details

Time bar (total: 2.0s)

sample99.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.831177%

Results
10.0ms298×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
10.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
10.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296332
11504285
25001283

prune75.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New52456
Fresh000
Picked101
Done000
Total53457

Merged error: 0b

Counts
57 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04941442
123441386
250011384

prune174.0ms

Filtered
96 candidates to 152 candidates (-58.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh033
Picked011
Done000
Total1524156

Merged error: 0b

Counts
156 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
10.4b
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
40×*-un-lft-identity
31×add-exp-log
28×add-sqr-sqrt
26×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r* associate-/r/
7×cbrt-undiv flip3-+ flip-+ distribute-lft-out associate-/l*
6×pow1 div-inv
5×prod-exp
4×associate-*r*
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 118
Calls
3 calls:
9.0ms
(* x (+ (/ x y) 1.0))
13.0ms
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
12.0ms
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* x (+ (/ x y) 1.0))
6.0ms
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
10.0ms
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04801003
12628872
25001818

prune102.0ms

Filtered
66 candidates to 127 candidates (-92.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) (- (/ x y) 1.0))
0.3b
(* (/ x y) (/ x y))
1.0b
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
14.4b
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×add-cube-cbrt
32×add-exp-log add-cbrt-cube
23×associate-*r*
20×associate-*l*
15×pow1
13×swap-sqr
10×prod-exp cbrt-unprod
9×frac-times associate-*r/
8×cbrt-undiv flip3-- div-exp associate-/r/ flip--
6×flip3-+ flip-+ unswap-sqr
5×associate-*l/ div-inv
4×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
3×pow-prod-down *-commutative difference-of-squares
2×associate-/l/
1×pow2 frac-2neg pow-plus clear-num associate-/r* pow-sqr pow-prod-up distribute-lft-out associate-/l* distribute-lft-out--
Counts
4 → 157
Calls
4 calls:
11.0ms
(* (+ x 1.0) (- (/ x y) 1.0))
10.0ms
(* (/ x y) (/ x y))
9.0ms
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
18.0ms
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ x 1.0) (- (/ x y) 1.0))
5.0ms
(* (/ x y) (/ x y))
9.0ms
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
12.0ms
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

simplify133.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08611390
149501142
250011142

prune173.0ms

Filtered
114 candidates to 169 candidates (-48.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1690169
Fresh011
Picked011
Done022
Total1694173

Merged error: 0b

Counts
173 → 4

regimes82.0ms

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
0105
1105

end0.0ms

sample617.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.831177%

Results
312.0ms9111×body80valid

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