Details

Time bar (total: 5.6m)

sample244.0ms

Algorithm
intervals
Results
133.0ms95×body1280valid
56.0ms78×body640valid
22.0ms53×body320valid
10.0ms256×pre80true
6.0ms25×body160valid
1.0ms5×body80valid

simplify23.0ms

Calls
1 calls:
Slowest
23.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize49.0ms

Local error

Found 3 expressions with local error:

5.7b
(log (- 1 x))
5.7b
(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--
Calls
3 calls:
Slowest
17.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))

series165.0ms

Calls
3 calls:
Slowest
100.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
34.0ms
(log (+ 1 x))
30.0ms
(log (- 1 x))

simplify4.7s

Calls
67 calls:
Slowest
713.0ms
(- (+ (/ (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)))))))))))
532.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
501.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
358.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
347.0ms
(- (+ (* 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)))))

prune777.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

5.7b
(log (+ 1 x))
5.7b
(log (+ 1 x))
5.7b
(log (+ 1 x))
4.0b
(log (- 1 (* x x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
23×add-sqr-sqrt *-un-lft-identity
10×difference-of-squares
8×pow1 log-div add-exp-log add-cube-cbrt
4×add-cbrt-cube rem-log-exp log-pow insert-posit16 add-log-exp
3×flip3-+ flip-+ distribute-lft-out
2×swap-sqr *-commutative distribute-lft-out-- unswap-sqr
1×flip3-- associate-*l* flip--
Calls
4 calls:
Slowest
9.0ms
(log (- 1 (* x x)))
4.0ms
(log (+ 1 x))
3.0ms
(log (+ 1 x))
3.0ms
(log (+ 1 x))

series227.0ms

Calls
4 calls:
Slowest
148.0ms
(log (- 1 (* x x)))
29.0ms
(log (+ 1 x))
28.0ms
(log (+ 1 x))
21.0ms
(log (+ 1 x))

simplify4.5s

Calls
51 calls:
Slowest
495.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
422.0ms
(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 1/3 (pow x 6)))))
368.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
338.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
320.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))

prune706.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

26.6b
(/ (- (* (* (* x x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* x x)) (log (+ 1 x)))
5.7b
(log (+ 1 x))
5.7b
(log (+ 1 x))
5.7b
(log (+ 1 x))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
4013×add-sqr-sqrt
2115×unswap-sqr
950×difference-of-squares
900×times-frac
870×swap-sqr
585×*-commutative
434×*-un-lft-identity
355×associate-*l*
308×add-cube-cbrt
233×pow1
229×log-pow
225×associate-/l*
160×distribute-lft-out--
30×associate-*r*
12×log-prod
9×add-exp-log
6×log-div add-cbrt-cube
4×associate-/r* insert-posit16 add-log-exp
3×flip3-+ rem-log-exp flip-+ distribute-lft-out
2×associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip--
Calls
4 calls:
Slowest
2.4s
(/ (- (* (* (* x x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* x x)) (log (+ 1 x)))
6.0ms
(log (+ 1 x))
6.0ms
(log (+ 1 x))
6.0ms
(log (+ 1 x))

series214.0ms

Calls
4 calls:
Slowest
108.0ms
(/ (- (* (* (* x x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* x x)) (log (+ 1 x)))
38.0ms
(log (+ 1 x))
37.0ms
(log (+ 1 x))
30.0ms
(log (+ 1 x))

simplify5.0m

Calls
2054 calls:
Slowest
1.1s
(/ (- (* (* (* (cbrt x) x) (* (cbrt x) x)) (- -1/2 (* (* 1/3 x) x))) (* (cbrt x) (cbrt x))) (log (+ 1 x)))
763.0ms
(/ (- (* (* x (* x x)) (- -1/2 (* (* 1/3 x) x))) x) (log (+ 1 x)))
730.0ms
(/ (* (cbrt (- (* (* (* x x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* x x))) (cbrt (- (* (* (* x x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* x x)))) (* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x)))))
715.0ms
(/ (- (* (* (* (sqrt x) (sqrt x)) (sqrt (* x x))) (sqrt (- -1/2 (* (* 1/3 x) x)))) (* (sqrt x) (sqrt x))) (cbrt (log (+ 1 x))))
617.0ms
(/ (- (* (* (* (cbrt x) x) (* x x)) (- -1/2 (* (* 1/3 x) x))) (* (cbrt x) x)) (sqrt (log (+ 1 x))))

prune8.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
5.8s3347×body1280valid
2.1s2568×body640valid
554.0ms1217×body320valid
320.0ms8000×pre80true
236.0ms662×body160valid
24.0ms206×body80valid