Details

Time bar (total: 3.7s)

sample32.0ms

Algorithm
intervals
Results
22.0ms294×body80valid

simplify96.0ms

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: 7.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite45.0ms

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:
28.0ms
(* x (+ (/ x y) 1.0))
15.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ (/ x y) 1.0))
51.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0306352
11568305
25001304

prune137.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
21.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
73.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05041464
123901406
250021404

prune332.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

series89.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (+ x 1.0))
47.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0474534
12069486
25001486

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 460
Calls
3 calls:
34.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
38.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series225.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
76.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
57.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify92.0ms

Algorithm
egg-herbie
Counts
469 → 469
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
012985782
150025246

prune857.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample860.0ms

Algorithm
intervals
Results
697.0ms9182×body80valid