Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms290×body80valid

simplify65.0ms

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: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite26.0ms

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

series65.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ (/ x y) 1.0))
41.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296332
11504285
25001283

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b
(/ x (/ (+ 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:
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
47.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04941442
123441386
250011384

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ 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:
37.0ms
(/ x (+ x 1.0))
41.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0461516
11966468
25002468

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
49×add-sqr-sqrt times-frac
37×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×associate-*l*
13×associate-*r*
12×distribute-lft-out
8×associate-/r*
6×pow1 cbrt-undiv div-exp associate-/r/ associate-/l* add-log-exp
5×associate-*l/
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×frac-add
2×frac-times frac-2neg associate-*r/ clear-num
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 136
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
8.0ms
(/ x (+ x 1.0))
9.0ms
(+ (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0))
13.0ms
(* (/ x (+ x 1.0)) (/ x y))

series160.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (+ x 1.0))
32.0ms
(/ x (+ x 1.0))
62.0ms
(+ (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0))
30.0ms
(* (/ x (+ x 1.0)) (/ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0605921
12861819
25002818

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

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
0138
1138

end0.0ms

sample381.0ms

Algorithm
intervals
Results
238.0ms9145×body80valid