Details

Time bar (total: 31.5s)

sample263.0ms

Algorithm
intervals
Results
144.0ms97×body1280valid
73.0ms94×body640valid
15.0ms35×body320valid
9.0ms256×pre80true
7.0ms25×body160valid
1.0ms5×body80valid

simplify22.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
22.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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
26.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
17.0ms
(log (- 1 x))
3.0ms
(log (+ 1 x))

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
93.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
33.0ms
(log (+ 1 x))
24.0ms
(log (- 1 x))

simplify4.6s

Counts
67 → 82
Calls
67 calls:
Slowest
828.0ms
(- (+ (/ (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)))))))))))
439.0ms
(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
395.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
379.0ms
(- (+ (* 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)))))
339.0ms
(/ (log (- (pow 1 3) (pow x 3))) (log (+ 1 x)))

prune827.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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
Counts
1 → 20
Calls
1 calls:
Slowest
24.0ms
(* (* x x) -1/2)

series32.0ms

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

simplify673.0ms

Counts
13 → 23
Calls
13 calls:
Slowest
266.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
251.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
27.0ms
(+ (log (* x x)) (log -1/2))
26.0ms
(+ (+ (log x) (log x)) (log -1/2))
20.0ms
(* -1/2 (pow x 2))

prune149.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
143×log-pow
115×pow1
100×times-frac
98×*-un-lft-identity
66×add-sqr-sqrt
60×add-cube-cbrt
50×distribute-rgt-out
41×distribute-lft-out
32×sqrt-pow1 pow1/2
25×associate-/l*
22×log-prod
12×sqrt-prod
10×log-div distribute-lft1-in distribute-rgt1-in
9×add-exp-log
8×sqrt-div
6×add-cbrt-cube
4×associate-/r* flip3-- div-sub insert-posit16 flip-- add-log-exp difference-of-squares
3×rem-log-exp
2×associate-+r- flip3-+ associate-+l- flip-+ distribute-lft-out-- associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 210
Calls
4 calls:
Slowest
47.0ms
(/ (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x)))) (log (+ 1 x)))
8.0ms
(log (sqrt (- 1 x)))
7.0ms
(log (sqrt (- 1 x)))
7.0ms
(log (+ 1 x))

series378.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
190.0ms
(/ (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x)))) (log (+ 1 x)))
91.0ms
(log (sqrt (- 1 x)))
75.0ms
(log (sqrt (- 1 x)))
22.0ms
(log (+ 1 x))

simplify7.7s

Counts
276 → 222
Calls
276 calls:
Slowest
340.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
288.0ms
(/ (* (* (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x)))) (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x))))) (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x))))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
286.0ms
(/ (log (sqrt (- (pow 1 3) (pow x 3)))) (log (+ 1 x)))
265.0ms
(+ (pow (log (sqrt (- 1 x))) 3) (pow (log (sqrt (- 1 x))) 3))
238.0ms
(/ (+ (log (sqrt (- 1 x))) (log (sqrt (- (pow 1 3) (pow x 3))))) (log (+ 1 x)))

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

7.2b
(log (sqrt (sqrt (- 1 x))))
7.2b
(log (sqrt (sqrt (- 1 x))))
7.1b
(log (sqrt (- 1 x)))
7.1b
(log (+ 1 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
36×sqrt-prod
24×*-un-lft-identity
22×add-sqr-sqrt
14×log-pow
13×pow1 add-cube-cbrt
10×sqrt-div
9×sqrt-pow1
8×log-div add-exp-log
6×difference-of-squares
5×pow1/2
4×add-cbrt-cube rem-log-exp insert-posit16 add-log-exp
3×flip3-- flip-- distribute-lft-out--
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 95
Calls
4 calls:
Slowest
8.0ms
(log (sqrt (- 1 x)))
5.0ms
(log (sqrt (sqrt (- 1 x))))
5.0ms
(log (sqrt (sqrt (- 1 x))))
3.0ms
(log (+ 1 x))

series233.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(log (sqrt (- 1 x)))
71.0ms
(log (sqrt (sqrt (- 1 x))))
61.0ms
(log (sqrt (sqrt (- 1 x))))
24.0ms
(log (+ 1 x))

simplify4.0s

Counts
68 → 107
Calls
68 calls:
Slowest
375.0ms
(- (log (pow (/ -1 x) -1/4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/4 (/ 1 x))))
339.0ms
(log (sqrt (sqrt (- (pow 1 3) (pow x 3)))))
306.0ms
(- (log (pow (/ -1 x) -1/4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/4 (/ 1 x))))
303.0ms
(- (* 1/4 (log -1)) (+ (* 1/4 (log (/ 1 x))) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/4 (/ 1 x)))))
300.0ms
(log (sqrt (sqrt (- (pow 1 3) (pow x 3)))))

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample9.5s

Algorithm
intervals
Results
6.0s3425×body1280valid
2.1s2478×body640valid
594.0ms1230×body320valid
369.0ms8000×pre80true
179.0ms654×body160valid
48.0ms213×body80valid