Details

Time bar (total: 7.9s)

sample45.0ms

Algorithm
intervals
Results
14.0ms65×body640valid
8.0ms135×body80valid
6.0ms39×body320valid
2.0ms17×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
associate-/r*
difference-of-squares
add-cbrt-cube add-exp-log
associate-/r/ associate-/l*
add-log-exp
div-inv
pow1 flip--
cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-+
sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
18.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(/ 1.0 (- x 1.0))
122.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series363.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1.0 (+ x 1.0))
31.0ms
(/ 1.0 (- x 1.0))
280.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify904.0ms

Counts
111 → 111
Iterations
IterNodes
done5000
21581
1410
0175

prune354.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b
(- (- x 1.0) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
add-log-exp
difference-of-squares
associate-/r* add-cbrt-cube add-exp-log
diff-log associate-/l* distribute-lft-out--
pow1 sub-neg flip3-- associate--l+ associate-/r/ flip--
associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
20.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
48.0ms
(- (- x 1.0) x)

series105.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) x)

simplify887.0ms

Counts
58 → 58
Iterations
IterNodes
done5002
21343
1278
0118

prune209.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* difference-of-squares
add-cbrt-cube add-exp-log associate-/l*
associate-/r/
pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip-- add-log-exp
Counts
1 → 33
Calls
1 calls:
12.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify655.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
21066
1216
088

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×distribute-lft-out
21×associate-/l*
19×distribute-lft-out-- difference-of-squares
16×associate-/r/
associate-/r* add-cbrt-cube add-exp-log
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
pow1 clear-num frac-2neg add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 163
Calls
2 calls:
17.0ms
(/ 1.0 (+ x 1.0))
40.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1.0 (+ x 1.0))
91.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.3s

Counts
169 → 169
Iterations
IterNodes
done5001
23060
1659
0245

prune705.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.5s

Algorithm
intervals
Results
788.0ms1887×body640valid
248.0ms1242×body320valid
205.0ms4270×body80valid
105.0ms601×body160valid