Details

Time bar (total: 40.5s)

sample316.0ms

Algorithm
intervals
Results
192.0ms106×body1280valid
69.0ms79×body640valid
18.0ms37×body320valid
12.0ms256×pre80true
7.0ms22×body160valid
1.0ms12×body80valid

simplify12.0ms

Calls
1 calls:
Slowest
12.0ms
(/ (log (- 1 x)) (log (+ 1 x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize26.0ms

Local error

Found 3 expressions with local error:

6.6b
(log (- 1 x))
6.6b
(log (+ 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite17.0ms

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
12.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
2.0ms
(log (- 1 x))
2.0ms
(log (+ 1 x))

series163.0ms

Calls
3 calls:
Slowest
76.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
47.0ms
(log (+ 1 x))
39.0ms
(log (- 1 x))

simplify4.1s

Calls
63 calls:
Slowest
782.0ms
(- (+ (/ (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)))))))))))
400.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
345.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
309.0ms
(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))
305.0ms
(- (+ (* 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)))))

prune704.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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
3.0ms
(* (* x x) -1/2)

series12.0ms

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

simplify42.0ms

Calls
3 calls:
Slowest
17.0ms
(* -1/2 (pow x 2))
16.0ms
(* -1/2 (pow x 2))
9.0ms
(* -1/2 (pow x 2))

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

6.6b
(log (+ 1 x))
6.6b
(log (+ 1 x))
3.0b
(log (- 1 (* x x)))
0.0b
(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))

rewrite25.0ms

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)))
1.0ms
(log (+ 1 x))
1.0ms
(log (- 1 (* x x)))
1.0ms
(log (+ 1 x))

series313.0ms

Calls
4 calls:
Slowest
139.0ms
(log (- 1 (* x x)))
110.0ms
(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
36.0ms
(log (+ 1 x))
27.0ms
(log (+ 1 x))

simplify6.5s

Calls
106 calls:
Slowest
768.0ms
(- (+ (/ (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)))))))))))
430.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
380.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
361.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
336.0ms
(- (log -1) (+ (* 2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))

prune718.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

29.9b
(/ (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))) (log (+ 1 x)))
6.6b
(log (+ 1 x))
6.6b
(log (+ 1 x))
0.1b
(* (pow x 6) 1/3)

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
29×add-sqr-sqrt
24×times-frac
19×add-cube-cbrt
18×pow1
14×log-pow
10×distribute-lft-out--
8×add-exp-log
6×log-prod add-cbrt-cube associate-/l*
5×difference-of-squares
4×log-div associate-/r* insert-posit16 add-log-exp
3×associate-*l*
2×flip3-+ rem-log-exp flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp *-commutative div-inv flip--
Calls
4 calls:
Slowest
208.0ms
(/ (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))) (log (+ 1 x)))
5.0ms
(* (pow x 6) 1/3)
2.0ms
(log (+ 1 x))
2.0ms
(log (+ 1 x))

series198.0ms

Calls
4 calls:
Slowest
93.0ms
(/ (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))) (log (+ 1 x)))
38.0ms
(log (+ 1 x))
34.0ms
(log (+ 1 x))
33.0ms
(* (pow x 6) 1/3)

simplify16.5s

Calls
86 calls:
Slowest
727.0ms
(sqrt (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))))
572.0ms
(- (* (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3))) (* (log (+ 1 x)) (log (+ 1 x))))
510.0ms
(- (pow (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) 3) (pow (log (+ 1 x)) 3))
437.0ms
(/ (* (cbrt (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x)))) (cbrt (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x))))) (* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x)))))
432.0ms
(/ (cbrt (- (- (- (* -1/2 (pow x 4)) (* x x)) (* (pow x 6) 1/3)) (log (+ 1 x)))) (sqrt (log (+ 1 x))))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes27.0ms

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
5.9s3432×body1280valid
2.2s2539×body640valid
608.0ms1221×body320valid
293.0ms8000×pre80true
159.0ms593×body160valid
26.0ms215×body80valid