Details

Time bar (total: 2.3s)

sample17.0ms

Algorithm
intervals
Results
9.0ms308×body80valid

simplify75.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.0b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
8.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series100.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (/ x y) 1.0)
47.0ms
(* x (+ (/ x y) 1.0))
43.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0301391
11508339
25001337

prune118.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0b

Counts
72 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:
6.0ms
(+ (/ x y) 1.0)
12.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (/ x y) 1.0)
49.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
69.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04991501
123491440
250021438

prune229.0ms

Filtered
167 candidates to 105 candidates (62.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1670167
Fresh044
Picked011
Done000
Total1675172

Merged error: 0b

Counts
172 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ x y)) (* x 1.0))
0.1b
(* x (/ x y))
8.0b
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×add-sqr-sqrt times-frac
21×add-cube-cbrt
13×associate-*r*
11×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×associate-/r* associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 84
Calls
3 calls:
5.0ms
(+ (* x (/ x y)) (* x 1.0))
6.0ms
(* x (/ x y))
9.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series94.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x (/ x y)) (* x 1.0))
18.0ms
(* x (/ x y))
45.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0390634
11859571
25001566

prune148.0ms

Filtered
93 candidates to 65 candidates (69.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh123
Picked011
Done011
Total93598

Merged error: 0b

Counts
98 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (/ x y) 1.0))
0.1b
(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
0.1b
(* x (sqrt (+ (/ x y) 1.0)))
3.5b
(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
22×*-un-lft-identity
20×add-exp-log add-cbrt-cube
18×associate-*r/
17×add-sqr-sqrt
15×flip3-+ flip-+
14×associate-*r*
13×sqrt-prod
12×pow1 add-cube-cbrt
8×frac-times associate-/l/
7×prod-exp cbrt-unprod
5×distribute-lft-out
4×times-frac associate-*l* pow-prod-down associate-*l/ associate-/r* add-log-exp
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num div-inv associate-/l*
Counts
4 → 106
Calls
4 calls:
6.0ms
(sqrt (+ (/ x y) 1.0))
16.0ms
(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
10.0ms
(* x (sqrt (+ (/ x y) 1.0)))
21.0ms
(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

series267.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (+ (/ x y) 1.0))
30.0ms
(* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))
108.0ms
(* x (sqrt (+ (/ x y) 1.0)))
47.0ms
(/ (* (* x (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04741025
12349848
25002822

prune202.0ms

Filtered
118 candidates to 78 candidates (66.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done022
Total1185123

Merged error: 0b

Counts
123 → 5

regimes44.0ms

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

sample441.0ms

Algorithm
intervals
Results
293.0ms9103×body80valid

Profiling

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