Details

Time bar (total: 2.0s)

analyze127.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms6×body80invalid

simplify65.0ms

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: 10.6b

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))
9.9b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite30.0ms

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:
8.0ms
(+ (/ x y) 1.0)
8.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
4.0ms
(* x (+ (/ x y) 1.0))
6.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0301391
11508339
25001337

prune91.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0b

Counts
72 → 5

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))

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))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04991501
123491440
250021438

prune176.0ms

Filtered
106 candidates to 167 candidates (-57.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1670167
Fresh044
Picked011
Done000
Total1675172

Merged error: 0b

Counts
172 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite34.0ms

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)
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
10.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0345675
11567617
25002612

prune105.0ms

Filtered
66 candidates to 102 candidates (-54.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh033
Picked011
Done011
Total1025107

Merged error: 0b

Counts
107 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
9.9b
(/ (* x (* (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (cbrt (+ (/ x y) 1.0)))) (+ x 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
31×flip3-+ flip-+
28×frac-times
26×associate-/l/
19×*-un-lft-identity
18×add-exp-log
14×associate-*l/ add-cbrt-cube
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
6×prod-exp cbrt-unprod
5×distribute-lft-out
4×pow1 cbrt-undiv times-frac div-exp associate-/r* add-log-exp
3×pow1/3
2×associate-/r/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 97
Calls
4 calls:
8.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
33.0ms
(/ (* x (* (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (cbrt (+ (/ x y) 1.0)))) (+ x 1.0))

series106.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (/ x y) 1.0))
32.0ms
(cbrt (+ (/ x y) 1.0))
32.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(/ (* x (* (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (cbrt (+ (/ x y) 1.0)))) (+ x 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04411296
119511060
25001977

prune223.0ms

Filtered
90 candidates to 109 candidates (-21.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done022
Total1095114

Merged error: 0b

Counts
114 → 5

regimes123.0ms

Accuracy

0% (0.1b 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

analyze112.0ms

Algorithm
search

sample386.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
9.0ms283×body80invalid

Profiling

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