Details

Time bar (total: 1.9s)

sample19.0ms

Algorithm
intervals
Results
10.0ms292×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 10.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.9b
(/ (* 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))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (/ x y) 1.0))
52.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0296332
11504285
25001283

prune91.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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

series106.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04941442
123441386
250011384

prune206.0ms

Filtered
152 candidates to 96 candidates (63.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh325
Picked101
Done000
Total1544158

Merged error: 0b

Counts
158 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out
4×pow1 flip3-+ associate-*r* associate-/r* associate-/r/ flip-+
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 77
Calls
2 calls:
5.0ms
(/ x (+ x 1.0))
15.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (+ x 1.0))
46.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0461516
11966468
25002468

prune123.0ms

Filtered
83 candidates to 59 candidates (71.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done000
Total83487

Merged error: 0b

Counts
87 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
31×add-exp-log
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
18×associate-*r*
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out
6×pow1 cbrt-undiv flip3-+ flip-+ associate-/l*
5×associate-/r*
4×frac-times associate-*l* associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 114
Calls
3 calls:
13.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
15.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
10.0ms
(/ 1 (+ (/ x y) 1.0))

series142.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
62.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
39.0ms
(/ 1 (+ (/ x y) 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0438791
12222666
25001627

prune126.0ms

Filtered
123 candidates to 71 candidates (57.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 4

regimes33.0ms

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
0115
1115

end0.0ms

sample464.0ms

Algorithm
intervals
Results
311.0ms9138×body80valid

Profiling

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