Details

Time bar (total: 3.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms298×body80valid

simplify69.0ms

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: 9.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* 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))

series70.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ (/ x y) 1.0))
46.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0296332
11504285
25001283

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite35.0ms

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:
14.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series111.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
63.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04941442
123441386
250021384

prune466.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 454
Calls
3 calls:
14.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
13.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
23.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series190.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
63.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
48.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012865755
150015222

prune712.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.3b
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
733×times-frac
543×*-un-lft-identity
299×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
39×div-inv
31×associate-/r/
26×add-exp-log associate-/l*
17×div-exp associate-/r*
16×flip3-+ add-cbrt-cube flip-+
9×cbrt-undiv
3×associate-/l/
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
Counts
2 → 385
Calls
2 calls:
14.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
21.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

series78.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
48.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

simplify87.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015315334
150014838

prune522.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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

sample387.0ms

Algorithm
intervals
Results
241.0ms9137×body80valid