Details

Time bar (total: 2.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms290×body80valid

simplify77.0ms

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: 8.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite23.0ms

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:
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ (/ x y) 1.0))
43.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0306352
11568305
25001304

prune114.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
11.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
50.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05041464
123901406
250021404

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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))

rewrite26.0ms

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:
8.0ms
(/ x (+ x 1.0))
15.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series85.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (+ x 1.0))
44.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0474534
12069486
25001486

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
49×add-sqr-sqrt times-frac
37×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×associate-*l*
13×associate-*r*
12×distribute-lft-out
8×associate-/r*
6×pow1 cbrt-undiv div-exp associate-/r/ associate-/l* add-log-exp
5×associate-*l/
4×expm1-log1p-u flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv unswap-sqr
3×frac-add
2×frac-times frac-2neg associate-*r/ clear-num
1×+-commutative fma-def pow-prod-down sum-log *-commutative
Counts
4 → 145
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ x (+ x 1.0))
10.0ms
(+ (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0))
13.0ms
(* (/ x (+ x 1.0)) (/ x y))

series182.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x 1.0))
36.0ms
(/ x (+ x 1.0))
69.0ms
(+ (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0))
34.0ms
(* (/ x (+ x 1.0)) (/ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0626957
13002857
25001851

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

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
0138
1138

end0.0ms

sample394.0ms

Algorithm
intervals
Results
243.0ms9145×body80valid