Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
15.0ms289×body80valid

simplify72.0ms

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: 7.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (/ x y) 1.0))
7.1b
(/ (* 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 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:
28.0ms
(* x (+ (/ x y) 1.0))
17.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
44.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0296332
11504285
25001283

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))

rewrite49.0ms

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:
23.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
19.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04941442
123441386
250021384

prune247.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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))
42.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (+ x 1.0))
44.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0461516
11966468
25002468

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ x y) 3)
0.2b
(* (/ x y) (/ x y))
2.4b
(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
12.1b
(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
205×*-un-lft-identity
131×times-frac
94×add-sqr-sqrt
77×add-cube-cbrt
64×distribute-lft-out
55×associate-*l*
49×unpow-prod-down cube-prod
26×add-exp-log add-cbrt-cube
16×associate-*r*
14×pow1
13×frac-times associate-*r/ swap-sqr
12×frac-add
9×associate-/r* sum-cubes
8×div-inv
7×cbrt-undiv div-exp
6×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
5×flip3-+ flip-+
4×associate-/r/ associate-/l* add-log-exp
3×pow-unpow
2×pow-prod-down pow-exp *-commutative associate-/l/ rem-cube-cbrt
1×cube-div pow2 distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in pow-plus unpow3 clear-num pow-sqr pow-prod-up sqr-pow
Counts
4 → 257
Calls
4 calls:
4.0ms
(pow (/ x y) 3)
12.0ms
(* (/ x y) (/ x y))
65.0ms
(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
173.0ms
(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(pow (/ x y) 3)
26.0ms
(* (/ x y) (/ x y))
68.0ms
(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
104.0ms
(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
012892745
150012506

prune608.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
0115
1115

end0.0ms

sample638.0ms

Algorithm
intervals
Results
490.0ms9119×body80valid