Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	284×	body	80	nan
12.0ms	256×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	192	19
4	400	19
5	753	19
6	1058	19
7	1202	19
8	1312	19
9	1318	19
done	1318	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

91.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
53.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms	(* 3.0 (* v v))

series901.0ms

Counts

4 → 12

Calls

4 calls:

503.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
96.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
270.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* 3.0 (* v v))

simplify2.4s

Counts

154 → 154

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	301	3466
1	858	3174
2	3175	2946
done	5000	2938

prune712.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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))
0.1b	(* 3.0 (* v v))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
19×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
8×	`associate-r` `prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`pow-prod-down`
6×	`sqrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`frac-times` `associate-*r/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 113

Calls

4 calls:

14.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
64.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))
33.0ms	(* 3.0 (* v v))

series484.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
304.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
49.0ms	(* 3.0 (* v v))
33.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: 2 (394.0ms)

Iter	Nodes	Cost
0	197	1759
1	477	1612
2	1476	1524
done	5000	1524

prune751.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	43
1	32	43
done	32	43

end0.0ms

sample2.0s

Algorithm

intervals

Results

774.0ms	8000×	body	80	valid
769.0ms	8253×	body	80	nan