Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
11.0ms289×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: 9.6b

Counts
2 → 1

localize7.0ms

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))

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

series69.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
44.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify49.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh000
Picked101
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize7.0ms

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))

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:
13.0ms
(/ 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:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04941442
123441386
250011384

prune206.0ms

Filtered
152 candidates to 95 candidates (62.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1502152
Fresh224
Picked011
Done000
Total1525157

Merged error: 0b

Counts
157 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
11.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
16.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
46.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0328616
11518563
25001558

prune115.0ms

Filtered
87 candidates to 55 candidates (63.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done011
Total87592

Merged error: 0b

Counts
92 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
0.3b
(* (/ x y) (/ x y))
5.5b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
6.2b
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
237×*-un-lft-identity
221×add-sqr-sqrt
161×add-cube-cbrt
84×associate-*l*
74×add-exp-log
44×add-cbrt-cube
39×difference-of-squares
37×associate-*r*
33×div-exp distribute-lft-out
26×associate-/r*
20×associate-/r/
18×prod-exp
17×cbrt-undiv
15×div-inv
14×pow1 unswap-sqr
13×swap-sqr
10×cbrt-unprod
9×flip3-- flip--
7×associate-/l*
6×rec-exp 1-exp
4×add-log-exp
3×distribute-lft-out--
2×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
1×pow2 pow-flip flip3-+ pow-plus pow-sqr pow-prod-up flip-+ inv-pow
Counts
4 → 356
Calls
4 calls:
14.0ms
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
10.0ms
(* (/ x y) (/ x y))
11.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
50.0ms
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
26.0ms
(* (/ x y) (/ x y))
74.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
87.0ms
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
014694661
150014252

prune604.0ms

Filtered
368 candidates to 232 candidates (63.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3680368
Fresh022
Picked011
Done022
Total3685373

Merged error: 0b

Counts
373 → 5

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample415.0ms

Algorithm
intervals
Results
274.0ms9175×body80valid

Profiling

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