Details

Time bar (total: 25.7s)

sample293.0ms

Algorithm
intervals
Results
164.0ms97×body1280valid
81.0ms92×body640valid
18.0ms38×body320valid
10.0ms256×pre80true
6.0ms23×body160valid
1.0ms6×body80valid

simplify23.0ms

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: 61.4b

localize25.0ms

Local error

Found 3 expressions with local error:

6.3b
(log (+ 1 x))
6.3b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log (+ 1 x)))

rewrite39.0ms

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
22.0ms
(log (+ 1 x))
13.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
2.0ms
(log (- 1 x))

series120.0ms

Calls
3 calls:
Slowest
70.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
27.0ms
(log (+ 1 x))
22.0ms
(log (- 1 x))

simplify3.6s

Calls
63 calls:
Slowest
625.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
590.0ms
(- (+ (/ (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)))))))))))
351.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
289.0ms
(- (+ (* 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)))))
230.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune517.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)

series19.0ms

Calls
1 calls:
Slowest
19.0ms
(* (* x x) -1/2)

simplify32.0ms

Calls
3 calls:
Slowest
11.0ms
(* -1/2 (pow x 2))
11.0ms
(* -1/2 (pow x 2))
9.0ms
(* -1/2 (pow x 2))

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

6.3b
(log (+ 1 x))
6.3b
(log (- 1 x))
0.0b
(/ (/ (log (- 1 x)) 1) (log (+ 1 x)))

rewrite11.0ms

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

series151.0ms

Calls
3 calls:
Slowest
85.0ms
(/ (/ (log (- 1 x)) 1) (log (+ 1 x)))
33.0ms
(log (- 1 x))
32.0ms
(log (+ 1 x))

simplify4.0s

Calls
65 calls:
Slowest
634.0ms
(- (+ (/ (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)) 1) (/ (log (- 1 x)) 1)) (/ (log (- 1 x)) 1)) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
359.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
325.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
269.0ms
(- (+ (* 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)))))

prune427.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b
(log (- 1 x))
6.3b
(log (- 1 x))
3.6b
(log (- 1 (* x x)))
0.0b
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))

rewrite28.0ms

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
23.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
1.0ms
(log (- 1 x))
1.0ms
(log (- 1 x))
1.0ms
(log (- 1 (* x x)))

series308.0ms

Calls
4 calls:
Slowest
131.0ms
(log (- 1 (* x x)))
97.0ms
(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
41.0ms
(log (- 1 x))
39.0ms
(log (- 1 x))

simplify6.2s

Calls
110 calls:
Slowest
727.0ms
(- (+ (/ (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)))))))))))
388.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
361.0ms
(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
347.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
335.0ms
(- (+ (* 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)))))

prune494.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
5.4s3431×body1280valid
2.6s2490×body640valid
611.0ms1236×body320valid
329.0ms8000×pre80true
168.0ms631×body160valid
60.0ms212×body80valid