Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
11.0ms309×body80valid

simplify78.0ms

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 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
13×fma-def times-frac
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
30.0ms
(* x (+ (/ x y) 1.0))
17.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (/ x y) 1.0)
26.0ms
(* x (+ (/ x y) 1.0))
44.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0313417
11574364
25002363

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
79×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
13×fma-def
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 177
Calls
3 calls:
10.0ms
(+ (/ x y) 1.0)
23.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
25.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
43.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05111529
123971465
250021463

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
34×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
18×associate-*l*
13×fma-def
10×add-exp-log add-cbrt-cube
9×distribute-lft-out
5×pow1 flip3-+ flip-+ add-log-exp
4×associate-*r* associate-/r* associate-/r/
3×expm1-log1p-u log1p-expm1-u div-inv associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 108
Calls
3 calls:
11.0ms
(+ (/ x y) 1.0)
6.0ms
(/ x (+ x 1.0))
44.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series96.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
35.0ms
(/ x (+ x 1.0))
48.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0481599
12075545
25001545

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))

series804.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
193.0ms
(cbrt y)
203.0ms
(cbrt y)
214.0ms
(* (cbrt y) (cbrt y))

simplify99.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0119308
1484281
22976258
35001255

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample392.0ms

Algorithm
intervals
Results
241.0ms9180×body80valid