Details

Time bar (total: 39.4s)

sample110.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
21.0ms228×body80nan

simplify76.0ms

Calls
1 calls:
Slowest
76.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Calls
3 calls:
Slowest
24.0ms
(/ (- 1 x) (+ 1 x))
19.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series122.0ms

Calls
3 calls:
Slowest
80.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
38.0ms
(/ (- 1 x) (+ 1 x))
4.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.4s

Calls
106 calls:
Slowest
417.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
259.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
229.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
212.0ms
(sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
126.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
75×add-sqr-sqrt
69×cbrt-prod
51×associate-*r*
40×cbrt-div
38×times-frac
32×add-cube-cbrt
20×frac-times flip3-- flip-- difference-of-squares
18×add-exp-log
16×pow1
14×associate-*l/
12×distribute-lft-out--
11×swap-sqr
10×add-cbrt-cube associate-*l*
9×distribute-lft-out
8×pow1/3
7×prod-exp associate-*r/ cbrt-unprod unswap-sqr
5×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 flip3-+ pow-plus flip-+ div-inv
Calls
4 calls:
Slowest
72.0ms
(* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))
50.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
3.0ms
(cbrt (- 1 x))
3.0ms
(cbrt (- 1 x))

series204.0ms

Calls
4 calls:
Slowest
62.0ms
(cbrt (- 1 x))
62.0ms
(cbrt (- 1 x))
52.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
28.0ms
(* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))

simplify14.0s

Calls
184 calls:
Slowest
728.0ms
(* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x)))
486.0ms
(* (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (* (/ (cbrt (- 1 x)) (+ 1 x)) (/ (cbrt (- 1 x)) (+ 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))
449.0ms
(* (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) (/ (cbrt (- 1 x)) (+ 1 x)))
432.0ms
(* (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3)))) (cbrt (- 1 x)))
423.0ms
(* (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x)))

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

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))))

rewrite106.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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
Calls
4 calls:
Slowest
62.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))

series416.0ms

Calls
4 calls:
Slowest
115.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
108.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
97.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
96.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))

simplify11.0s

Calls
319 calls:
Slowest
412.0ms
(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
398.0ms
(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
227.0ms
(cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
198.0ms
(cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
189.0ms
(* (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))))

prune3.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8151×body80nan
1.1s8000×body80valid