Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	284×	body	80	nan
12.0ms	256×	body	80	valid

simplify47.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

67.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
35.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
32.0ms	(* 3.0 (* v v))

series661.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
83.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
215.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify85.0ms

Counts: 140 → 140

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.1b	(* 3.0 (* v v))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-exp-log`
81×	`prod-exp`
74×	`add-cbrt-cube`
58×	`frac-times`
49×	`cbrt-unprod`
38×	`associate-*r/`
34×	`sqrt-div` `div-exp`
29×	`flip3--` `flip--`
24×	`pow1`
23×	`associate-*l/`
18×	`cbrt-undiv`
12×	`add-sqr-sqrt` `1-exp` `pow-prod-down`
11×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`add-log-exp`
3×	`times-frac` `sqrt-prod` `*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

250.0ms	(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
77.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
17.0ms	(* 3.0 (* v v))

series695.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
236.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
28.0ms	(* 3.0 (* v v))

simplify60.0ms

Counts: 180 → 180

prune482.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-exp-log`
120×	`sqrt-div`
72×	`prod-exp`
69×	`add-cbrt-cube`
66×	`sqrt-prod`
53×	`frac-times`
52×	`add-sqr-sqrt`
46×	`pow1`
45×	`cbrt-unprod`
43×	`associate-*r/`
32×	`sqrt-pow1`
30×	`flip3--` `div-exp` `flip--`
22×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow-prod-down`
16×	`cbrt-undiv` `pow1/2`
15×	`swap-sqr`
13×	`associate-*l/`
12×	`associate-r`
11×	`unswap-sqr`
10×	`1-exp`
9×	`pow-prod-up`
5×	`pow-sqr`
4×	`*-commutative` `add-log-exp`
3×	`times-frac`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `div-inv`

Counts

4 → 215

Calls

4 calls:

42.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
250.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))))
23.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))

series389.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
238.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))))
27.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))

simplify51.0ms

Counts: 227 → 227

prune815.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

624.0ms	8253×	body	80	nan
514.0ms	8000×	body	80	valid