Details

Time bar (total: 20.3s)

sample350.0ms

Algorithm
intervals
Results
198.0ms106×body1280valid
75.0ms79×body640valid
39.0ms37×body320valid
13.0ms256×pre80true
7.0ms22×body160valid
2.0ms12×body80valid

simplify23.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize14.0ms

Local error

Found 2 expressions with local error:

6.6b
(log (- 1 x))
0.0b
(/ (log (- 1 x)) (log1p x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×pow1
5×add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×log-prod associate-/r*
2×expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv
Calls
2 calls:
Slowest
6.0ms
(/ (log (- 1 x)) (log1p x))
1.0ms
(log (- 1 x))

series105.0ms

Calls
2 calls:
Slowest
81.0ms
(/ (log (- 1 x)) (log1p x))
24.0ms
(log (- 1 x))

simplify3.3s

Calls
47 calls:
Slowest
843.0ms
(- (+ (/ (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)))))))))))
440.0ms
(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
362.0ms
(- (+ (* 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)))))
354.0ms
(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))
296.0ms
(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune368.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (log1p (- x)) (log1p x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
4.0ms
(/ (log1p (- x)) (log1p x))

series59.0ms

Calls
1 calls:
Slowest
59.0ms
(/ (log1p (- x)) (log1p x))

simplify2.2s

Calls
28 calls:
Slowest
863.0ms
(- (+ (/ (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)))))))))))
500.0ms
(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
362.0ms
(- (+ (* 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)))))
189.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
38.0ms
(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
0.0ms
(fma -1/2 (* x x) (- -1 x))

series10.0ms

Calls
1 calls:
Slowest
10.0ms
(fma -1/2 (* x x) (- -1 x))

simplify419.0ms

Calls
3 calls:
Slowest
143.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
140.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))
135.0ms
(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (log1p x))
0.7b
(cbrt (log1p x))
0.7b
(cbrt (log1p x))
0.5b
(* (cbrt (log1p x)) (cbrt (log1p x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (log1p x)) (cbrt (log1p x)))
1.0ms
(cbrt (log1p x))
1.0ms
(cbrt (log1p x))
1.0ms
(cbrt (log1p x))

series256.0ms

Calls
4 calls:
Slowest
67.0ms
(* (cbrt (log1p x)) (cbrt (log1p x)))
65.0ms
(cbrt (log1p x))
63.0ms
(cbrt (log1p x))
61.0ms
(cbrt (log1p x))

simplify3.3s

Calls
41 calls:
Slowest
544.0ms
(- (+ (* 1/3 (* (pow (/ 1 (log (/ 1 x))) 1/3) (/ 1 (pow x 2)))) (pow (pow (log (/ 1 x)) 2) 1/3)) (+ (* 1/9 (* (pow (/ 1 (pow (log (/ 1 x)) 4)) 1/3) (/ 1 (pow x 2)))) (* 2/3 (* (pow (/ 1 (log (/ 1 x))) 1/3) (/ 1 x)))))
470.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 (pow x 2)))) (pow (- (log (/ 1 x))) 1/3)) (+ (* 1/3 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 x))) (* 1/9 (* (pow (/ -1 (pow (log (/ 1 x)) 5)) 1/3) (/ 1 (pow x 2))))))
442.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 (pow x 2)))) (pow (- (log (/ 1 x))) 1/3)) (+ (* 1/3 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 x))) (* 1/9 (* (pow (/ -1 (pow (log (/ 1 x)) 5)) 1/3) (/ 1 (pow x 2))))))
392.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 (pow x 2)))) (pow (- (log (/ 1 x))) 1/3)) (+ (* 1/3 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 x))) (* 1/9 (* (pow (/ -1 (pow (log (/ 1 x)) 5)) 1/3) (/ 1 (pow x 2))))))
277.0ms
(- (+ (* 2/3 (* (/ (log -1) x) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 8/9 (* (/ (* (log (/ -1 x)) (log -1)) (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/3 (* (/ (log (/ -1 x)) (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (pow (pow (- (log -1) (log (/ -1 x))) 2) 1/3))))) (+ (* 2/3 (* (/ (log (/ -1 x)) x) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/3 (* (/ (log -1) (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 4/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (* 4/9 (* (/ (pow (log (/ -1 x)) 2) (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))

prune904.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.4s

Algorithm
intervals
Results
5.3s3432×body1280valid
2.0s2539×body640valid
499.0ms1221×body320valid
325.0ms8000×pre80true
144.0ms593×body160valid
25.0ms215×body80valid