Details

Time bar (total: 4.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms67×body1280valid
3.0ms130×body80valid
2.0ms32×body640valid
1.0ms20×body320valid
0.0ms7×body160valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0126
1166
2196
3216
4276
5396
6586
7796
81076
91606
102776
113036
123036
done3036

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(/ (+ x 1.0) (- x 1.0))
1.6b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
52×times-frac
45×add-sqr-sqrt
23×add-cube-cbrt
18×distribute-lft-out distribute-lft-out--
9×associate-/r* difference-of-squares
7×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/
3×pow1
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 104
Calls
3 calls:
10.0ms
(/ x (+ x 1.0))
25.0ms
(/ (+ x 1.0) (- x 1.0))
88.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x 1.0))
42.0ms
(/ (+ x 1.0) (- x 1.0))
126.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify40.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0392760
11379726
25001716
done5001716

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1.0) (- x 1.0))
0.0b
(/ x (+ x 1.0))
1.6b
(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
1.6b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
148×*-un-lft-identity
72×times-frac
60×add-sqr-sqrt
31×distribute-lft-out--
26×add-cube-cbrt distribute-lft-out
17×log-pow
16×exp-prod
13×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube
7×associate-/l*
6×add-log-exp
5×pow1 log-prod
4×associate-/r/
2×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ div-exp exp-sum clear-num flip-- flip-+ div-inv associate-/l/
1×log-div exp-diff diff-log rem-log-exp frac-sub
Counts
4 → 135
Calls
4 calls:
24.0ms
(/ (+ x 1.0) (- x 1.0))
11.0ms
(/ x (+ x 1.0))
259.0ms
(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
89.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (+ x 1.0) (- x 1.0))
33.0ms
(/ x (+ x 1.0))
135.0ms
(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
125.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify44.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0441990
11497930
25001917
done5001917

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
21.7b
(log (exp (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))))
21.7b
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1 log-prod
4×add-exp-log log-pow add-cbrt-cube
3×exp-prod
2×sub-neg pow1/3 exp-sum
1×log-div flip3-- exp-diff diff-log associate-*r/ rem-log-exp frac-sub flip--
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
164.0ms
(log (exp (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))))
49.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

series830.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
174.0ms
(cbrt x)
136.0ms
(log (exp (- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))))
348.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

simplify103.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0217646
1733559
23562529
35002529
done5002529

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
21.7b
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
21.7b
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
21.7b
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- diff-log associate-*r/ frac-sub flip--
1×pow1/3
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
51.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
50.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
52.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
144.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
146.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))
141.0ms
(- (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

simplify101.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0186816
1637717
23340679
35002679
done5002679

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.9b

bsearch84.0ms

Steps
ItersRangePoint
9
7.055123656280252
892369.0132880388
7255.079150232641
10
-1.8070707071506563e+17
-0.15939393977811658
-10127.728604771686

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621
done3621

end0.0ms

sample557.0ms

Algorithm
intervals
Results
177.0ms1769×body1280valid
111.0ms1250×body640valid
94.0ms4076×body80valid
40.0ms615×body320valid
12.0ms290×body160valid