Details

Time bar (total: 26.5s)

sample327.0ms

Algorithm
intervals
Results
203.0ms124×body1280valid
71.0ms59×body640valid
20.0ms44×body320valid
11.0ms256×pre80true
5.0ms20×body160valid
1.0ms9×body80valid

simplify22.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize25.0ms

Local error

Found 3 expressions with local error:

5.5b
(log (- 1 x))
5.4b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite9.0ms

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
6.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms
(log (- 1 x))
1.0ms
(log (+ 1 x))

series183.0ms

Calls
3 calls:
Slowest
94.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
50.0ms
(log (- 1 x))
39.0ms
(log (+ 1 x))

simplify3.5s

Calls
63 calls:
Slowest
689.0ms
(- (+ (/ (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)))))))))))
298.0ms
(- (+ (* 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)))))
291.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
270.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
241.0ms
(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))

prune651.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)

series45.0ms

Calls
1 calls:
Slowest
45.0ms
(* (* x x) -1/2)

simplify36.0ms

Calls
3 calls:
Slowest
14.0ms
(* -1/2 (pow x 2))
13.0ms
(* -1/2 (pow x 2))
8.0ms
(* -1/2 (pow x 2))

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

5.5b
(log (- 1 x))
5.4b
(log (+ 1 x))
0.0b
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
0.0b
(/ (log (+ 1 x)) (log (- 1 x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
32×times-frac
25×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
24×associate-/r*
20×log-pow
11×add-exp-log
6×log-div log-prod add-cbrt-cube
4×insert-posit16 associate-/l* add-log-exp
3×div-inv
2×rec-exp clear-num frac-2neg flip3-+ div-sub div-exp rem-log-exp flip-+
1×cbrt-undiv flip3-- associate-/r/ pow-flip flip-- inv-pow
Calls
4 calls:
Slowest
8.0ms
(/ (log (+ 1 x)) (log (- 1 x)))
2.0ms
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
1.0ms
(log (- 1 x))
1.0ms
(log (+ 1 x))

series242.0ms

Calls
4 calls:
Slowest
93.0ms
(/ (log (+ 1 x)) (log (- 1 x)))
92.0ms
(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
35.0ms
(log (- 1 x))
22.0ms
(log (+ 1 x))

simplify4.8s

Calls
88 calls:
Slowest
663.0ms
(- (+ (/ (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)))))))))))
583.0ms
(- (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (/ 1 (* x (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (- (log -1) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))))))))
371.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
370.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
351.0ms
(- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (/ (log -1) (* x (pow (log (/ -1 x)) 2))) 1))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 3))) (+ (/ (log -1) (log (/ -1 x))) (* 2 (/ 1 (* x (log (/ -1 x))))))))

prune875.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b
(log (- 1 x))
5.5b
(log (- 1 x))
2.7b
(log (- 1 (* x x)))
0.0b
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))

rewrite24.0ms

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×log-div associate-/r*
6×add-cbrt-cube
5×flip3-- flip-- difference-of-squares
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
Calls
4 calls:
Slowest
17.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
2.0ms
(log (- 1 x))
2.0ms
(log (- 1 (* x x)))
2.0ms
(log (- 1 x))

series376.0ms

Calls
4 calls:
Slowest
169.0ms
(log (- 1 (* x x)))
140.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
44.0ms
(log (- 1 x))
23.0ms
(log (- 1 x))

simplify6.2s

Calls
110 calls:
Slowest
779.0ms
(- (+ (/ (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)))))))))))
353.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
352.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
350.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
313.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune625.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample8.5s

Algorithm
intervals
Results
5.3s3506×body1280valid
2.0s2420×body640valid
567.0ms1260×body320valid
269.0ms8000×pre80true
170.0ms616×body160valid
22.0ms198×body80valid