Details

Time bar (total: 40.6s)

sample355.0ms

Algorithm
intervals
Results
70.0ms292×body80nan
46.0ms256×body80valid

simplify47.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
47.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip--
Counts
2 → 64
Calls
2 calls:
Slowest
15.0ms
(/ (- 1 x) (+ 1 x))
2.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series52.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ (- 1 x) (+ 1 x))
10.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify3.8s

Counts
96 → 70
Calls
96 calls:
Slowest
479.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
373.0ms
(* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
222.0ms
(* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))
136.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))
123.0ms
(* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune573.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))

rewrite70.0ms

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×expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u 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 → 131
Calls
4 calls:
Slowest
35.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
28.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
58.0ms
(cbrt (+ 1 x))
46.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
39.0ms
(cbrt (+ 1 x))

simplify10.4s

Counts
176 → 143
Calls
176 calls:
Slowest
679.0ms
(* (* (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))
545.0ms
(- (+ (* 2/3 x) 1) (* 1/9 (pow x 2)))
476.0ms
(* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (+ (* 1 1) (+ (* x x) (* 1 x))))
294.0ms
(* (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
286.0ms
(/ (- 1 x) (* (cbrt (- (* 1 1) (* x x))) (cbrt (+ (pow 1 3) (pow x 3)))))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

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))))

rewrite84.0ms

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
Counts
4 → 282
Calls
4 calls:
Slowest
53.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
10.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
7.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
5.0ms
(cbrt (/ (- 1 x) (+ 1 x)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
105.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
103.0ms
(cbrt (/ (- 1 x) (+ 1 x)))
87.0ms
(cbrt (/ (- 1 x) (+ 1 x)))

simplify17.1s

Counts
449 → 294
Calls
449 calls:
Slowest
442.0ms
(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
419.0ms
(* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))
402.0ms
(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
294.0ms
(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))))
239.0ms
(cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))

prune3.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
761.0ms7694×body80nan