Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
13.0ms295×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

localize9.0ms

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))

rewrite48.0ms

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:
30.0ms
(* x (+ (/ x y) 1.0))
17.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
48.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0306352
11568305
25001304

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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)))
24.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05041464
123901406
250021404

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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 expm1-log1p-u frac-times associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 81
Calls
2 calls:
5.0ms
(/ x (+ x 1.0))
46.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (+ x 1.0))
43.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0474534
12069486
25001486

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
157×*-un-lft-identity
117×add-sqr-sqrt
103×add-cube-cbrt
53×associate-*l*
35×add-exp-log
26×distribute-lft-out
19×associate-/r* add-cbrt-cube
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp associate-/l*
6×pow1
5×unswap-sqr
4×rec-exp 1-exp associate-*r*
3×expm1-log1p-u flip3-+ cbrt-unprod flip-+ log1p-expm1-u add-log-exp
2×frac-times frac-2neg associate-*r/ clear-num associate-/r/ associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 215
Calls
3 calls:
8.0ms
(/ (+ x 1.0) x)
60.0ms
(* (/ 1 (/ (+ x 1.0) x)) (+ (/ x y) 1.0))
9.0ms
(/ 1 (/ (+ x 1.0) x))

series128.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (+ x 1.0) x)
47.0ms
(* (/ 1 (/ (+ x 1.0) x)) (+ (/ x y) 1.0))
34.0ms
(/ 1 (/ (+ x 1.0) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
09561588
150011386

prune392.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes30.0ms

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

sample542.0ms

Algorithm
intervals
Results
397.0ms9168×body80valid