Details

Time bar (total: 23.0s)

sample256.0ms

Algorithm
intervals
Results
149.0ms102×body1280valid
61.0ms78×body640valid
19.0ms45×body320valid
10.0ms256×pre80true
6.0ms25×body160valid
1.0ms6×body80valid

simplify31.0ms

Calls
1 calls:
Slowest
31.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize23.0ms

Local error

Found 3 expressions with local error:

7.2b
(log (- 1 x))
7.1b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
15×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
12×log-pow
7×add-exp-log
6×log-div log-prod
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×insert-posit16 add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Calls
3 calls:
Slowest
8.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
2.0ms
(log (- 1 x))
2.0ms
(log (+ 1 x))

series153.0ms

Calls
3 calls:
Slowest
84.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
44.0ms
(log (+ 1 x))
25.0ms
(log (- 1 x))

simplify3.5s

Calls
63 calls:
Slowest
701.0ms
(- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
371.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
301.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
297.0ms
(- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x)))))
237.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune726.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log *-commutative add-cube-cbrt insert-posit16 add-log-exp
Calls
1 calls:
Slowest
5.0ms
(* (* x x) -1/2)

series12.0ms

Calls
1 calls:
Slowest
11.0ms
(* (* x x) -1/2)

simplify34.0ms

Calls
3 calls:
Slowest
14.0ms
(* -1/2 (pow x 2))
10.0ms
(* -1/2 (pow x 2))
9.0ms
(* -1/2 (pow x 2))

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

3.6b
(log (exp (* (* x x) -1/2)))
0.0b
(* (* x x) -1/2)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt pow1 log-prod *-un-lft-identity log-pow add-cube-cbrt add-log-exp
2×add-cbrt-cube add-exp-log insert-posit16
1×exp-prod exp-to-pow rem-log-exp associate-*l* *-commutative
Calls
2 calls:
Slowest
6.0ms
(log (exp (* (* x x) -1/2)))
6.0ms
(* (* x x) -1/2)

series42.0ms

Calls
2 calls:
Slowest
23.0ms
(log (exp (* (* x x) -1/2)))
19.0ms
(* (* x x) -1/2)

simplify514.0ms

Calls
10 calls:
Slowest
369.0ms
(* -1/2 (pow x 2))
43.0ms
(log (* (cbrt (exp (* (* x x) -1/2))) (cbrt (exp (* (* x x) -1/2)))))
38.0ms
(log (sqrt (exp (* (* x x) -1/2))))
16.0ms
(* -1/2 (pow x 2))
15.0ms
(* -1/2 (pow x 2))

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

7.1b
(log (+ 1 x))
7.1b
(log (+ 1 x))
3.6b
(log (- 1 (* x x)))
0.0b
(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
36×pow1
32×times-frac log-pow
31×add-sqr-sqrt
21×add-cube-cbrt
20×distribute-lft-out--
9×log-prod add-exp-log
8×associate-/l*
6×log-div add-cbrt-cube
5×difference-of-squares
4×associate-/r* insert-posit16 add-log-exp
3×rem-log-exp
2×flip3-+ flip3-- flip-+ flip-- associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Calls
4 calls:
Slowest
19.0ms
(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
2.0ms
(log (+ 1 x))
2.0ms
(log (+ 1 x))
2.0ms
(log (- 1 (* x x)))

series253.0ms

Calls
4 calls:
Slowest
117.0ms
(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
91.0ms
(log (- 1 (* x x)))
22.0ms
(log (+ 1 x))
22.0ms
(log (+ 1 x))

simplify6.9s

Calls
106 calls:
Slowest
870.0ms
(- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
397.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
384.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
371.0ms
(- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x)))))
345.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))

prune708.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.4s3423×body1280valid
2.5s2458×body640valid
631.0ms1274×body320valid
425.0ms8000×pre80true
168.0ms646×body160valid
23.0ms199×body80valid