Details

Time bar (total: 24.1s)

sample38.0ms

Algorithm
intervals
Results
15.0ms72×body640valid
7.0ms38×body320valid
7.0ms126×body80valid
2.0ms20×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
113
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))
3.0b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
add-cbrt-cube
associate-/r/ div-inv associate-/l*
pow1 add-log-exp
difference-of-sqr-1 div-exp
insert-posit16 flip--
cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
17.0ms
(/ 1 (- x 1))
21.0ms
(/ 1 (+ x 1))
41.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ 1 (- x 1))
17.0ms
(/ 1 (+ x 1))
71.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify12.2s

Counts
137 → 137
Iterations
IterNodes
32463
2936
1390
0185

prune373.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (+ x -2) x) (+ -1 (* x x)))
2.4b
(- (+ x -2) x)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
23×add-sqr-sqrt
18×times-frac
13×add-cube-cbrt
10×distribute-lft-out--
add-log-exp
associate-/l*
distribute-lft-out difference-of-squares
add-cbrt-cube add-exp-log
associate-/r*
pow1 flip3-- diff-log associate-/r/ insert-posit16 flip-- associate-/l/
cbrt-undiv clear-num sum-log sub-neg frac-2neg flip3-+ div-sub div-exp associate--l+ flip-+ div-inv
Counts
2 → 63
Calls
2 calls:
67.0ms
(/ (- (+ x -2) x) (+ -1 (* x x)))
27.0ms
(- (+ x -2) x)

series57.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- (+ x -2) x) (+ -1 (* x x)))
8.0ms
(- (+ x -2) x)

simplify2.1s

Counts
69 → 69
Iterations
IterNodes
33601
2916
1295
0117

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ -2 (+ -1 (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
associate-/r/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
7.0ms
(/ -2 (+ -1 (* x x)))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ -2 (+ -1 (* x x)))

simplify4.0s

Counts
33 → 33
Iterations
IterNodes
46084
31518
2497
1178
081

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ -2 (* (cbrt (+ -1 (* x x))) (cbrt (+ -1 (* x x)))))
16.6b
(cbrt (+ -1 (* x x)))
16.6b
(cbrt (+ -1 (* x x)))
16.6b
(cbrt (+ -1 (* x x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
cbrt-prod add-sqr-sqrt *-un-lft-identity flip3-+ add-exp-log add-cube-cbrt flip-+
associate-/r/
add-cbrt-cube
frac-times pow1 insert-posit16 add-log-exp
times-frac pow1/3 associate-/l*
cbrt-undiv div-exp associate-*l/ associate-*r/
clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
10.0ms
(/ -2 (* (cbrt (+ -1 (* x x))) (cbrt (+ -1 (* x x)))))
3.0ms
(cbrt (+ -1 (* x x)))
4.0ms
(cbrt (+ -1 (* x x)))
4.0ms
(cbrt (+ -1 (* x x)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ -2 (* (cbrt (+ -1 (* x x))) (cbrt (+ -1 (* x x)))))
163.0ms
(cbrt (+ -1 (* x x)))
151.0ms
(cbrt (+ -1 (* x x)))
141.0ms
(cbrt (+ -1 (* x x)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
32067
2759
1300
0131

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s1951×body640valid
430.0ms4169×body80valid
296.0ms1227×body320valid
133.0ms653×body160valid