Details

Time bar (total: 5.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 9.6b

localize13.0ms

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))

rewrite47.0ms

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:
29.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ (/ x y) 1.0))
52.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0306352
11568305
25001304

prune139.0ms

Pruning

5 alts after pruning (5 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))

rewrite56.0ms

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:
22.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
25.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
76.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05041464
123901406
250021404

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite132.0ms

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:
32.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
41.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series210.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
75.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
46.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify103.0ms

Algorithm
egg-herbie
Counts
469 → 469
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
012985782
150025246

prune862.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.5b
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.2b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
10.4b
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
1482×times-frac
895×add-sqr-sqrt
877×*-un-lft-identity
523×add-cube-cbrt
249×difference-of-squares
105×distribute-lft-out
78×associate-/l*
72×distribute-lft-out--
62×associate-/r/
39×div-inv
32×add-exp-log associate-/r* add-cbrt-cube
27×flip3-- flip--
14×cbrt-undiv div-exp
13×swap-sqr associate-*r* associate-*l*
11×pow1
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
1×pow2 frac-times flip3-+ pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-+
Counts
4 → 743
Calls
4 calls:
17.0ms
(* (/ x y) (/ x y))
20.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
17.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
65.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series303.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ x y) (/ x y))
92.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
84.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
98.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify206.0ms

Algorithm
egg-herbie
Counts
755 → 755
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0269715197
1500114905

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample376.0ms

Algorithm
intervals
Results
234.0ms9071×body80valid