Details

Time bar (total: 1.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms287×body80valid

simplify63.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite21.0ms

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:
8.0ms
(* x (+ (/ x y) 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
6.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0296332
11504285
25001283

prune82.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
9.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
6.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04941442
123441386
250011384

prune168.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh145
Picked011
Done000
Total1526158

Merged error: 0b

Counts
158 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
6.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328616
11518563
25001558

prune94.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done011
Total87693

Merged error: 0b

Counts
93 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series87.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
20.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune69.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes91.0ms

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

sample540.0ms

Algorithm
intervals
Results
298.0ms9159×body80valid

Profiling

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