Details

Time bar (total: 2.6s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
8.0ms
(/ x (+ x 1.0))
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series187.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (+ x 1.0))
122.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms
(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0379534
11365507
25001502

prune166.0ms

Filtered
96 candidates to 70 candidates (72.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ (+ x 1.0) x)
0.1b
(/ 1 (/ (+ x 1.0) x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
124×*-un-lft-identity
80×add-sqr-sqrt
72×add-cube-cbrt
24×associate-/r*
20×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv distribute-lft-out--
4×difference-of-squares
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative flip3-- pow-flip frac-add sum-log flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
53.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ (+ x 1.0) x)
8.0ms
(/ 1 (/ (+ x 1.0) x))

series236.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (- x 1.0))
124.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
50.0ms
(/ (+ x 1.0) x)
34.0ms
(/ 1 (/ (+ x 1.0) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06181197
12829999
25001990

prune259.0ms

Filtered
186 candidates to 107 candidates (57.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
248×times-frac
206×add-sqr-sqrt
98×add-cube-cbrt
53×distribute-lft-out--
51×swap-sqr
46×difference-of-squares
39×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
28×distribute-lft-out
19×associate-/r/ frac-sub
18×pow1
14×frac-times associate-*r/ associate-*l/
12×associate-/r*
11×associate-/l/
9×cbrt-undiv div-exp div-inv
8×prod-exp cbrt-unprod unswap-sqr
7×flip3-- flip--
6×add-log-exp
4×flip3-+ flip-+ associate-/l*
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 298
Calls
4 calls:
12.0ms
(- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
42.0ms
(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
17.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
20.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
308.0ms
(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
43.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
45.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
310 → 310
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013934176
150013840

prune567.0ms

Filtered
310 candidates to 192 candidates (61.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample275.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid