Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify67.0ms

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: 9.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.0b
(/ (* 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))

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ (/ x y) 1.0))
40.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296332
11504285
25001283

prune92.0ms

Filtered
56 candidates to 38 candidates (67.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0b

Counts
57 → 6

localize9.0ms

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))

rewrite31.0ms

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)))
11.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series104.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04941442
123441386
250021384

prune198.0ms

Filtered
152 candidates to 95 candidates (62.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh055
Picked011
Done000
Total1526158

Merged error: 0b

Counts
158 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))
9.0b
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
31×flip3-+ flip-+
28×frac-times
26×associate-/l/
19×*-un-lft-identity
18×add-exp-log
14×associate-*l/
13×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:
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
31.0ms
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

series750.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (+ (/ x y) 1.0))
237.0ms
(cbrt (+ (/ x y) 1.0))
240.0ms
(cbrt (+ (/ x y) 1.0))
40.0ms
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04461268
118861054
25002984

prune333.0ms

Filtered
109 candidates to 91 candidates (83.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh044
Picked011
Done011
Total1096115

Merged error: 0b

Counts
115 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
9.0b
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 times-frac associate-*r/ associate-/r* add-log-exp
3×pow1/3
2×flip3-+ associate-/r/ flip-+ associate-/l/ distribute-lft-out
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

series634.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
206.0ms
(cbrt x)
179.0ms
(cbrt x)
61.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0381585
12108438
25001393

prune136.0ms

Filtered
78 candidates to 58 candidates (74.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

regimes48.0ms

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

sample433.0ms

Algorithm
intervals
Results
284.0ms9179×body80valid

Profiling

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