Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify67.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

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))

rewrite96.0ms

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:
61.0ms
(* x (+ (/ x y) 1.0))
34.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series60.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* x (+ (/ x y) 1.0))
39.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296332
11504285
25001283

prune96.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

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))

rewrite85.0ms

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:
36.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
40.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
56.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04941442
123441386
250021384

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)))

rewrite127.0ms

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:
52.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
72.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
38.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0328616
11518563
25001558

prune146.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ x y)) (* x 1.0))
0.1b
(* x (/ x y))
9.0b
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×add-sqr-sqrt times-frac
21×add-cube-cbrt
13×associate-*r*
11×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×associate-/r* associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 84
Calls
3 calls:
11.0ms
(+ (* x (/ x y)) (* x 1.0))
16.0ms
(* x (/ x y))
40.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series80.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* x (/ x y)) (* x 1.0))
20.0ms
(* x (/ x y))
35.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0390634
11859571
25001566

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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
0105
1105

end0.0ms

sample423.0ms

Algorithm
intervals
Results
224.0ms9176×body80valid