Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms298×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1295
2455
3565
4745
5865
61205
71365
81465
91505
101605
114465
1226955
1350015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

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))

rewrite24.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 54
Calls
2 calls:
10.0ms
(* x (+ (/ x y) 1.0))
13.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ (/ x y) 1.0))
50.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0306352
11568305
25001304

prune127.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))

rewrite36.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
18.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
11.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
73.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05041464
123901406
250021404

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite90.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 460
Calls
3 calls:
16.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
11.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
24.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series202.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
73.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
44.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify94.0ms

Algorithm
egg-herbie
Counts
469 → 469
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012985782
150025246

prune792.0ms

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))

rewrite66.0ms

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 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
Counts
2 → 389
Calls
2 calls:
11.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
22.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
44.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

simplify83.0ms

Algorithm
egg-herbie
Counts
395 → 395
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015425346
150014853

prune585.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample390.0ms

Algorithm
intervals
Results
239.0ms9137×body80valid