Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
20.0ms	256×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	1176
10	1176
9	1169
8	1023
7	838
6	699
5	568
4	353
3	177
2	70
1	27
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
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))))
0.2b	(* 3.0 (* v v))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

46.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
95.0ms	(* (* (/ (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))))
23.0ms	(* 3.0 (* v v))

series805.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
399.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
94.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
46.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

140 → 140

Iterations

Iter	Nodes
done	5027
2	3342
1	848
0	278

prune807.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 (* v v)) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`frac-times` `*-commutative` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip3--` `flip-+` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`difference-of-squares`

Counts

4 → 88

Calls

4 calls:

32.0ms	(* (+ 1.0 (* v v)) (- 1.0 (* v v)))
32.0ms	(* 3.0 (* v v))
20.0ms	(* 3.0 (* v v))
15.0ms	(* 3.0 (* v v))

series304.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (+ 1.0 (* v v)) (- 1.0 (* v v)))
36.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
35.0ms	(* 3.0 (* v v))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1168
1	316
0	100

prune701.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8171×	body	80	nan
765.0ms	8000×	body	80	valid