Details

sample84.0ms

Algorithm

intervals

Results

36.0ms	283×	body	80	nan
32.0ms	256×	body	80	valid

simplify183.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

183.0ms

(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* v v))
0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`sqrt-prod`
12×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `pow-prod-down`
2×	`frac-times` `flip3--` `associate-r/` `-commutative` `insert-posit16` `flip--` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 73

Calls

2 calls:

Slowest

30.0ms	(* 3 (* v v))
19.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))

series282.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

247.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
36.0ms	(* 3 (* v v))

simplify5.6s

Counts

67 → 79

Calls

67 calls:

Slowest

697.0ms	(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
453.0ms	(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
393.0ms	(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
386.0ms	(- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2)))))
351.0ms	(* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))

prune771.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

2.7b	(log (sqrt (- 1 (* 3 (* v v)))))
0.2b	(* 3 (* v v))
0.0b	(+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v))))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod`
25×	`*-un-lft-identity`
22×	`add-sqr-sqrt` `associate-+l+`
21×	`add-cube-cbrt`
18×	`times-frac`
15×	`sqrt-prod`
14×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`log-pow`
6×	`associate-+r+`
5×	`log-div`
4×	`sqrt-div` `distribute-lft-out`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`associate-+r-` `flip3--` `flip--`
1×	`+-commutative` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `associate-r` `*-commutative` `associate-+l-` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

Slowest

25.0ms	(* 3 (* v v))
25.0ms	(+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v))))))
4.0ms	(log (sqrt (- 1 (* 3 (* v v)))))

series1.0s

Counts

3 → 9

Calls

3 calls:

Slowest

674.0ms	(+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v))))))
312.0ms	(log (sqrt (- 1 (* 3 (* v v)))))
26.0ms	(* 3 (* v v))

simplify5.4s

Counts

65 → 96

Calls

65 calls:

Slowest

423.0ms	(log (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))
402.0ms	(- (+ (* 9/4 (pow v 4)) (+ (* 3/2 (pow v 2)) (* 9/2 (pow v 6)))))
378.0ms	(log (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
364.0ms	(log (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
340.0ms	(- (log (* 1/4 (sqrt 2))) (+ (* 9/4 (pow v 4)) (* 3/2 (pow v 2))))

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.8s	8121×	body	80	nan
1.3s	8000×	body	80	valid