Details

Time bar (total: 19.0s)

sample368.0ms

Algorithm
intervals
Results
216.0ms116×body1280valid
73.0ms76×body640valid
31.0ms256×pre80true
21.0ms39×body320valid
6.0ms19×body160valid
1.0ms6×body80valid

simplify21.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize26.0ms

Local error

Found 3 expressions with local error:

5.6b
(log (+ 1 x))
5.1b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
10×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×insert-posit16 add-log-exp
2×flip3-- div-sub rem-log-exp flip-- difference-of-squares
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out--
Counts
3 → 73
Calls
3 calls:
Slowest
13.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
6.0ms
(log (- 1 x))
5.0ms
(log (+ 1 x))

series160.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
39.0ms
(log (+ 1 x))
35.0ms
(log (- 1 x))

simplify1.2s

Counts
82 → 82

prune674.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×add-sqr-sqrt *-un-lft-identity
2×diff-log
1×pow1 sum-log sub-neg flip3-- add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 17
Calls
1 calls:
Slowest
23.0ms
(- (+ -1 (* (* x x) -1/2)) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(- (+ -1 (* (* x x) -1/2)) x)

simplify2.0s

Counts
20 → 20

prune163.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×associate-+l+ sum-log
1×add-sqr-sqrt pow1 +-commutative sub-neg *-un-lft-identity flip3-+ add-cbrt-cube diff-log add-exp-log add-cube-cbrt associate-+l- flip-+ insert-posit16
Counts
1 → 16
Calls
1 calls:
Slowest
42.0ms
(+ (- -1 x) (* (* -1/2 x) x))

series38.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
38.0ms
(+ (- -1 x) (* (* -1/2 x) x))

simplify3.1s

Counts
19 → 19

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.1b
(log (- 1 x))
5.1b
(log (- 1 x))
1.9b
(log (- 1 (* x x)))
0.0b
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
38×add-sqr-sqrt
36×pow1
32×times-frac log-pow
22×distribute-lft-out--
21×add-cube-cbrt
17×log-prod
11×difference-of-squares
9×add-exp-log
8×log-div associate-/r*
6×add-cbrt-cube
5×flip3-- flip--
4×insert-posit16 associate-/l* add-log-exp
3×rem-log-exp
2×div-sub associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 114
Calls
4 calls:
Slowest
20.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
3.0ms
(log (- 1 x))
3.0ms
(log (- 1 x))
3.0ms
(log (- 1 (* x x)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(log (- 1 (* x x)))
127.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
38.0ms
(log (- 1 x))
23.0ms
(log (- 1 x))

simplify681.0ms

Counts
126 → 126

prune926.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample8.8s

Algorithm
intervals
Results
5.3s3469×body1280valid
2.3s2446×body640valid
528.0ms1191×body320valid
303.0ms8000×pre80true
169.0ms659×body160valid
73.0ms235×body80valid