Details

Time bar (total: 42.9s)

sample216.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
36.0ms292×body80nan

simplify109.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
108.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
29×add-sqr-sqrt
24×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/l*
5×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log
2×pow1 associate-/r/ insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip--
Counts
2 → 60
Calls
2 calls:
Slowest
27.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series67.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(/ (- 1 x) (+ 1 x))
15.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.7s

Counts
92 → 66
Calls
92 calls:
Slowest
455.0ms
(* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))
306.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
283.0ms
(* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
131.0ms
(- (+ (* 2 (pow x 2)) 1) (* 2 x))
119.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune549.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.0b
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.0b
(cbrt (+ 1 x))
0.0b
(cbrt (+ 1 x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
32×cbrt-prod
30×add-sqr-sqrt
28×cbrt-div
16×add-cube-cbrt
14×flip3-+ flip-+
11×pow1 add-exp-log
9×swap-sqr
8×frac-times pow1/3 associate-/r/ distribute-lft-out
7×add-cbrt-cube associate-*r* associate-*l*
6×times-frac associate-/l*
4×associate-*l/ associate-*r/ insert-posit16 add-log-exp difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod distribute-lft-out-- associate-/l/
1×pow2 clear-num associate-/r* frac-2neg pow-plus flip3-- div-sub *-commutative div-inv flip--
Counts
4 → 123
Calls
4 calls:
Slowest
21.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
19.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
7.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))

series235.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
57.0ms
(cbrt (+ 1 x))
47.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
41.0ms
(cbrt (+ 1 x))

simplify10.6s

Counts
168 → 135
Calls
168 calls:
Slowest
714.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))
643.0ms
(- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
631.0ms
(* (* (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))
324.0ms
(* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (+ (* 1 1) (+ (* x x) (* 1 x))))
278.0ms
(/ (- 1 x) (* (cbrt (- (* 1 1) (* x x))) (cbrt (+ (pow 1 3) (pow x 3)))))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- 1 x) (+ 1 x)))
0.0b
(cbrt (/ (- 1 x) (+ 1 x)))
0.0b
(cbrt (/ (- 1 x) (+ 1 x)))
0.0b
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
365×*-un-lft-identity
270×cbrt-prod
222×times-frac
213×add-sqr-sqrt
93×add-cube-cbrt
64×difference-of-squares
62×distribute-lft-out
57×swap-sqr
44×distribute-lft-out--
33×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 274
Calls
4 calls:
Slowest
68.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
6.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
5.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
5.0ms
(cbrt (/ (- 1 x) (+ 1 x)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
99.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
82.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
80.0ms
(cbrt (/ (- 1 x) (+ 1 x)))

simplify19.1s

Counts
441 → 286
Calls
441 calls:
Slowest
560.0ms
(- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3))))
554.0ms
(- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3))))
541.0ms
(- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3))))
531.0ms
(- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3))))
525.0ms
(- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3))))

prune3.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
985.0ms8000×body80valid
830.0ms7694×body80nan