Details

Time bar (total: 17.4s)

sample147.0ms

Algorithm
intervals
Results
93.0ms724×body80nan
35.0ms256×body80valid

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
11×div-inv
9×add-sqr-sqrt
8×log-prod add-cube-cbrt
6×sqrt-prod associate-/l* add-log-exp
5×pow1 add-exp-log
4×distribute-rgt-out add-cbrt-cube sqrt-div insert-posit16 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
6.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
4.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
4.0ms
(/ (sqrt (- 1 (* x x))) x)
1.0ms
(sqrt (- 1 (* x x)))

series222.0ms

Calls
4 calls:
Slowest
110.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
55.0ms
(/ (sqrt (- 1 (* x x))) x)
35.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
22.0ms
(sqrt (- 1 (* x x)))

simplify5.3s

Calls
47 calls:
Slowest
516.0ms
(- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4))))
434.0ms
(- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))))
420.0ms
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
399.0ms
(- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x))))
386.0ms
(- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1))))

prune615.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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×add-cbrt-cube insert-posit16 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
10.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))
1.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
1.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
1.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))

series923.0ms

Calls
4 calls:
Slowest
302.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
244.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
224.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
153.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

simplify4.2s

Calls
53 calls:
Slowest
422.0ms
(- (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 x) 1/3)) (+ (* 5/72 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 13)) 1/3))) (* 1/6 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 7)) 1/3)))))
396.0ms
(- (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 x) 1/3)) (+ (* 5/72 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 13)) 1/3))) (* 1/6 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 7)) 1/3)))))
390.0ms
(- (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 x) 1/3)) (+ (* 5/72 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 13)) 1/3))) (* 1/6 (* (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (cbrt -1)) (pow (/ -1 (pow x 7)) 1/3)))))
370.0ms
(- (* (pow (cbrt -1) 2) (pow -1 1/3)) (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 4)) (pow -1 1/3))) (* 1/3 (* (/ (pow (cbrt -1) 2) (pow x 2)) (pow -1 1/3)))))
269.0ms
(- (* (pow (/ 1 x) 1/3) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x))))))) (+ (* 1/6 (* (pow (/ 1 (pow x 7)) 1/3) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))))) (* 5/72 (* (pow (/ 1 (pow x 13)) 1/3) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x))))))))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
3.3s23906×body80nan
1.1s8000×body80valid