Details

Time bar (total: 3.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms296×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 10.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.7b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite76.0ms

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:
46.0ms
(* x (+ (/ x y) 1.0))
28.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series60.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* x (+ (/ x y) 1.0))
39.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296332
11504285
25001283

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:
34.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
38.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series99.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04941442
123441386
250021384

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
0.1b
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
0.2b
(/ 1 (+ (/ x y) 1.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
31×add-exp-log
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
18×associate-*r*
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out
6×pow1 cbrt-undiv flip3-+ flip-+ associate-/l*
5×associate-/r*
4×frac-times associate-*l* associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 114
Calls
3 calls:
25.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
65.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
23.0ms
(/ 1 (+ (/ x y) 1.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
59.0ms
(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
36.0ms
(/ 1 (+ (/ x y) 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0438793
12222668
25001629

prune171.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
0.2b
(* (/ x y) (/ x y))
5.8b
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))
7.4b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
237×*-un-lft-identity
221×add-sqr-sqrt
161×add-cube-cbrt
84×associate-*l*
74×add-exp-log
44×add-cbrt-cube
39×difference-of-squares
37×associate-*r*
33×div-exp distribute-lft-out
26×associate-/r*
20×associate-/r/
18×prod-exp
17×cbrt-undiv
15×div-inv
14×pow1 unswap-sqr
13×swap-sqr
10×cbrt-unprod
9×flip3-- flip--
7×associate-/l*
6×rec-exp 1-exp
4×add-log-exp
3×distribute-lft-out--
2×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
1×pow2 pow-flip flip3-+ pow-plus pow-sqr pow-prod-up flip-+ inv-pow
Counts
4 → 356
Calls
4 calls:
39.0ms
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
20.0ms
(* (/ x y) (/ x y))
152.0ms
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))
37.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
23.0ms
(* (/ x y) (/ x y))
76.0ms
(* (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)))
69.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
014694663
150014254

prune681.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes55.0ms

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

sample396.0ms

Algorithm
intervals
Results
212.0ms9144×body80valid