Details

Time bar (total: 13.8s)

sample172.0ms

Algorithm
intervals
Results
91.0ms884×body80nan
29.0ms256×body80valid

simplify35.0ms

Calls
1 calls:
Slowest
35.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1 (* x x)))
0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b
(/ (sqrt (- 1 (* x x))) x)
0.0b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
12×div-inv
10×add-sqr-sqrt
9×add-cube-cbrt
8×log-prod
6×sqrt-prod associate-/l* add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u fma-def distribute-rgt-out add-cbrt-cube sqrt-div insert-posit16 log1p-expm1-u distribute-lft-out
3×log-div
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg pow1/2 rem-log-exp log-pow
Calls
4 calls:
Slowest
12.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
9.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
8.0ms
(/ (sqrt (- 1 (* x x))) x)
3.0ms
(sqrt (- 1 (* x x)))

series215.0ms

Calls
4 calls:
Slowest
93.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
54.0ms
(/ (sqrt (- 1 (* x x))) x)
40.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
29.0ms
(sqrt (- 1 (* x x)))

simplify4.9s

Calls
49 calls:
Slowest
420.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
412.0ms
(- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1))))
408.0ms
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
321.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
292.0ms
(log (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))

prune810.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×div-inv
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
11.0ms
(* (cbrt (/ 1 x)) (cbrt (/ 1 x)))
1.0ms
(cbrt (/ 1 x))
1.0ms
(cbrt (/ 1 x))
1.0ms
(cbrt (/ 1 x))

series1.1s

Calls
4 calls:
Slowest
340.0ms
(* (cbrt (/ 1 x)) (cbrt (/ 1 x)))
275.0ms
(cbrt (/ 1 x))
258.0ms
(cbrt (/ 1 x))
221.0ms
(cbrt (/ 1 x))

simplify437.0ms

Calls
53 calls:
Slowest
51.0ms
(* (pow (/ 1 (pow x 2)) 1/3) (pow (cbrt -1) 2))
17.0ms
(pow (/ 1 x) 1/3)
16.0ms
(* (pow (/ -1 x) 1/3) (cbrt -1))
16.0ms
(pow (/ 1 x) 1/3)
16.0ms
(pow (/ 1 x) 1/3)

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s24070×body80nan
1.4s8000×body80valid