Details

sample226.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
26.0ms	263×	body	80	nan

simplify82.0ms

Calls

1 calls:

Slowest

81.0ms

(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
15×	`sqrt-prod`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r/`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Calls

3 calls:

Slowest

43.0ms	(/ (- 1 x) (+ 1 x))
3.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))

series183.0ms

Calls

3 calls:

Slowest

93.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
81.0ms	(/ (- 1 x) (+ 1 x))
9.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify2.4s

Calls

57 calls:

Slowest

429.0ms	(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
196.0ms	(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
191.0ms	(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))
152.0ms	(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))
126.0ms	(- (+ (* 2 (pow x 2)) 1) (* 2 x))

prune661.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`cbrt-prod`
18×	`associate-r` `associate-l`
12×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/r/`
9×	`pow1` `associate-/r` `associate-/l`
6×	`associate-/l/`
5×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-div` `pow1/3` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `flip--`
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 (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
3.0ms	(/ (- 1 x) (+ 1 x))
3.0ms	(/ (- 1 x) (+ 1 x))
3.0ms	(/ (- 1 x) (+ 1 x))

series94.0ms

Calls

4 calls:

Slowest

55.0ms	(* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))
16.0ms	(/ (- 1 x) (+ 1 x))
13.0ms	(/ (- 1 x) (+ 1 x))
10.0ms	(/ (- 1 x) (+ 1 x))

simplify5.8s

Calls

150 calls:

Slowest

362.0ms	(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
352.0ms	(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
349.0ms	(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
333.0ms	(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
289.0ms	(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
731.0ms	7905×	body	80	nan