Details

Time bar (total: 3.6s)

sample26.0ms

Algorithm
intervals
Results
7.0ms127×body80valid
6.0ms56×body640valid
3.0ms37×body320valid
2.0ms13×body1280valid
1.0ms23×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1317
2437
3577
4737
5927
61267
71587
82077
92097
102097

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
4.1b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
47×times-frac
43×add-sqr-sqrt
23×add-cube-cbrt
14×distribute-lft-out--
13×distribute-lft-out
11×add-log-exp
9×associate-/r*
8×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- frac-add flip--
2×cbrt-undiv sub-neg associate-+l+ frac-2neg flip3-+ diff-log div-exp clear-num sum-log frac-sub flip-+ div-inv
1×+-commutative associate-+l-
Counts
4 → 114
Calls
4 calls:
5.0ms
(/ 1.0 (+ x 1.0))
6.0ms
(/ 1.0 (- x 1.0))
36.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
182.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (+ x 1.0))
28.0ms
(/ 1.0 (- x 1.0))
47.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
226.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0496865
11681827
25001816

prune429.0ms

Filtered
126 candidates to 92 candidates (73.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
16.8b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*l/
32×frac-add
31×flip3-- flip--
24×frac-times flip3-+ flip-+
18×add-exp-log add-cbrt-cube associate-/l/
12×associate-*r/
9×pow1 add-sqr-sqrt *-un-lft-identity
8×associate-/r/ add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
5×sub-neg associate-*r*
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/l*
1×+-commutative frac-2neg diff-log associate-*l* clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 124
Calls
4 calls:
2.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
38.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
20.0ms
(* (* (+ x 1.0) x) (- x 1.0))
11.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series221.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
90.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
91.0ms
(* (* (+ x 1.0) x) (- x 1.0))
1.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09972264
150012129

prune430.0ms

Filtered
136 candidates to 108 candidates (79.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.2b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
18×associate-*l/
12×add-sqr-sqrt *-un-lft-identity
10×pow1
8×frac-times add-cube-cbrt associate-*r* associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×associate-*r/ pow-prod-down
3×cbrt-undiv times-frac div-exp associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
20.0ms
(* (* (+ x 1.0) x) (- x 1.0))
18.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (+ x 1.0) x)
93.0ms
(* (* (+ x 1.0) x) (- x 1.0))
86.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0430600
12219516
25002515

prune152.0ms

Filtered
93 candidates to 62 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (- x 1.0))
0.0b
(* (+ x 1.0) x)
0.1b
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.3b
(/ 1 (* (+ x 1.0) x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
50×add-sqr-sqrt
45×*-un-lft-identity
37×times-frac
34×add-cbrt-cube
29×add-cube-cbrt
24×associate-*r* prod-exp
20×div-exp
13×associate-*l*
11×pow1
10×cbrt-undiv cbrt-unprod
8×associate-/r/
7×associate-*l/ distribute-lft-out-- difference-of-squares
6×rec-exp 1-exp associate-/r* associate-/l*
4×div-inv add-log-exp
3×flip3-+ pow-prod-down flip-+ unswap-sqr
2×flip3-- pow-flip frac-2neg clear-num *-commutative flip--
1×frac-times associate-*r/ distribute-lft-out inv-pow
Counts
4 → 152
Calls
4 calls:
5.0ms
(/ 2.0 (- x 1.0))
10.0ms
(* (+ x 1.0) x)
45.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
8.0ms
(/ 1 (* (+ x 1.0) x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 2.0 (- x 1.0))
41.0ms
(* (+ x 1.0) x)
86.0ms
(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
33.0ms
(/ 1 (* (+ x 1.0) x))

simplify85.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06461005
13429855
25002847

prune239.0ms

Filtered
164 candidates to 101 candidates (61.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b 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
0156
1156

end0.0ms

sample587.0ms

Algorithm
intervals
Results
199.0ms1845×body640valid
120.0ms4144×body80valid
80.0ms591×body1280valid
73.0ms937×body320valid
26.0ms487×body160valid