Details

Time bar (total: 24.5s)

sample248.0ms

Algorithm
intervals
Results
147.0ms110×body1280valid
65.0ms91×body640valid
12.0ms32×body320valid
9.0ms256×pre80true
3.0ms15×body160valid
1.0ms8×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: 60.8b

localize25.0ms

Local error

Found 3 expressions with local error:

4.2b
(log (+ 1 x))
4.2b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite37.0ms

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--
Calls
3 calls:
Slowest
22.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms
(log (- 1 x))
7.0ms
(log (+ 1 x))

series158.0ms

Calls
3 calls:
Slowest
96.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
33.0ms
(log (+ 1 x))
29.0ms
(log (- 1 x))

simplify4.7s

Calls
67 calls:
Slowest
792.0ms
(- (+ (/ (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)))))))))))
773.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
370.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
360.0ms
(/ (log (- (pow 1 3) (pow x 3))) (log (+ 1 x)))
349.0ms
(- (+ (* 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)))))

prune674.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
4×add-sqr-sqrt
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-+l+ sum-log insert-posit16
1×+-commutative sub-neg flip3-+ diff-log associate-*l* *-commutative associate-+l- flip-+ unswap-sqr
Calls
2 calls:
Slowest
33.0ms
(+ (- -1 x) (* (* x x) -1/2))
15.0ms
(* (* x x) -1/2)

series87.0ms

Calls
2 calls:
Slowest
48.0ms
(* (* x x) -1/2)
39.0ms
(+ (- -1 x) (* (* x x) -1/2))

simplify1.5s

Calls
18 calls:
Slowest
290.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
242.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
226.0ms
(* (exp (- -1 x)) (exp (* (* x x) -1/2)))
208.0ms
(* (/ (exp -1) (exp x)) (exp (* (* x x) -1/2)))
153.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune315.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
Calls
1 calls:
Slowest
16.0ms
(* (* x x) -1/2)

series48.0ms

Calls
1 calls:
Slowest
48.0ms
(* (* x x) -1/2)

simplify671.0ms

Calls
13 calls:
Slowest
276.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
261.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
30.0ms
(+ (log (* x x)) (log -1/2))
19.0ms
(* (* x x) -1/2)
15.0ms
(+ (+ (log x) (log x)) (log -1/2))

prune170.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

4.2b
(log (- 1 x))
4.2b
(log (- 1 x))
3.5b
(log (- 1 (* x x)))
0.0b
(- (log (- 1 (* x x))) (log (- 1 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
24×*-un-lft-identity
22×add-sqr-sqrt
11×pow1 difference-of-squares
10×log-div
9×add-cube-cbrt
7×add-exp-log log-pow distribute-lft-out--
6×flip3-- flip-- associate--r+
5×associate--l+
4×add-cbrt-cube insert-posit16 add-log-exp
3×rem-log-exp
2×associate--l- associate--r-
1×sub-neg diff-log
Calls
4 calls:
Slowest
10.0ms
(- (log (- 1 (* x x))) (log (- 1 x)))
4.0ms
(log (- 1 x))
3.0ms
(log (- 1 x))
3.0ms
(log (- 1 (* x x)))

series305.0ms

Calls
4 calls:
Slowest
138.0ms
(log (- 1 (* x x)))
83.0ms
(- (log (- 1 (* x x))) (log (- 1 x)))
43.0ms
(log (- 1 x))
39.0ms
(log (- 1 x))

simplify5.3s

Calls
60 calls:
Slowest
438.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
400.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
382.0ms
(- (log -1) (+ (* 2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
378.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
373.0ms
(log (- (pow 1 3) (pow (* x x) 3)))

prune617.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.6s3438×body1280valid
2.5s2494×body640valid
670.0ms1233×body320valid
297.0ms8000×pre80true
159.0ms614×body160valid
27.0ms221×body80valid