Details

Time bar (total: 14.3s)

sample274.0ms

Algorithm
intervals
Results
65.0ms780×body80nan
26.0ms256×body80valid

simplify82.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
log-prod
add-sqr-sqrt
pow1 log-div *-un-lft-identity add-exp-log add-cube-cbrt
expm1-log1p-u flip3-- add-cbrt-cube difference-of-sqr-1 rem-log-exp log-pow insert-posit16 log1p-expm1-u flip-- add-log-exp
Calls
1 calls:
Slowest
9.0ms
(log (- (/ 1 x) 1))

series46.0ms

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

simplify751.0ms

Calls
10 calls:
Slowest
190.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
174.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
143.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
94.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))
58.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (/ 1 x) 1))
0.1b
(sqrt (- (/ 1 x) 1))
0.0b
(log (sqrt (- (/ 1 x) 1)))
0.0b
(log (sqrt (- (/ 1 x) 1)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-prod
14×log-prod
10×*-un-lft-identity add-cube-cbrt
sqrt-div
pow1 add-exp-log
expm1-log1p-u log-div flip3-- add-cbrt-cube pow1/2 difference-of-sqr-1 log-pow insert-posit16 log1p-expm1-u flip-- add-log-exp
rem-sqrt-square rem-log-exp
Calls
4 calls:
Slowest
13.0ms
(sqrt (- (/ 1 x) 1))
9.0ms
(sqrt (- (/ 1 x) 1))
6.0ms
(log (sqrt (- (/ 1 x) 1)))
6.0ms
(log (sqrt (- (/ 1 x) 1)))

series208.0ms

Calls
4 calls:
Slowest
75.0ms
(log (sqrt (- (/ 1 x) 1)))
52.0ms
(sqrt (- (/ 1 x) 1))
50.0ms
(log (sqrt (- (/ 1 x) 1)))
32.0ms
(sqrt (- (/ 1 x) 1))

simplify2.4s

Calls
46 calls:
Slowest
193.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
191.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
187.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
175.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
175.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))

prune785.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log (- (/ 1 x) 1)))
0.5b
(cbrt (log (- (/ 1 x) 1)))
0.5b
(cbrt (log (- (/ 1 x) 1)))
0.5b
(* (cbrt (log (- (/ 1 x) 1))) (cbrt (log (- (/ 1 x) 1))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
14×pow1
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1/3 associate-*r* associate-*l*
add-exp-log
log-pow
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-prod-down pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (cbrt (log (- (/ 1 x) 1))) (cbrt (log (- (/ 1 x) 1))))
1.0ms
(cbrt (log (- (/ 1 x) 1)))
1.0ms
(cbrt (log (- (/ 1 x) 1)))
1.0ms
(cbrt (log (- (/ 1 x) 1)))

series968.0ms

Calls
4 calls:
Slowest
311.0ms
(* (cbrt (log (- (/ 1 x) 1))) (cbrt (log (- (/ 1 x) 1))))
239.0ms
(cbrt (log (- (/ 1 x) 1)))
214.0ms
(cbrt (log (- (/ 1 x) 1)))
204.0ms
(cbrt (log (- (/ 1 x) 1)))

simplify4.1s

Calls
46 calls:
Slowest
486.0ms
(- (pow (pow (log -1) 2) 1/3) (+ (* 2/3 (* (/ 1 x) (pow (/ 1 (log -1)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (log -1) 4)) 1/3))) (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (log -1)) 1/3))))))
446.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log x) 2)) 1/3) (pow x 2))) (+ (* 1/3 (* (pow (/ -1 (pow (log x) 2)) 1/3) x)) (pow (- (log x)) 1/3))) (* 1/9 (* (pow (/ -1 (pow (log x) 5)) 1/3) (pow x 2))))
443.0ms
(- (pow (pow (log -1) 2) 1/3) (+ (* 2/3 (* (/ 1 x) (pow (/ 1 (log -1)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (log -1) 4)) 1/3))) (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (log -1)) 1/3))))))
383.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log x) 2)) 1/3) (pow x 2))) (+ (* 1/3 (* (pow (/ -1 (pow (log x) 2)) 1/3) x)) (pow (- (log x)) 1/3))) (* 1/9 (* (pow (/ -1 (pow (log x) 5)) 1/3) (pow x 2))))
374.0ms
(- (+ (* 1/6 (* (pow (/ -1 (pow (log x) 2)) 1/3) (pow x 2))) (+ (* 1/3 (* (pow (/ -1 (pow (log x) 2)) 1/3) x)) (pow (- (log x)) 1/3))) (* 1/9 (* (pow (/ -1 (pow (log x) 5)) 1/3) (pow x 2))))

prune778.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.3s24161×body80nan
718.0ms8000×body80valid