Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
14.0ms	247×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	271	20
4	781	20
5	1867	20
6	3834	20
done	5000	20

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
12×	`flip3--` `sqrt-div` `flip--`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`frac-times` `add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `times-frac` `sqrt-prod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

93.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
18.0ms	(* 6.0 (* v v))
120.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts

3 → 9

Calls

3 calls:

393.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms	(* 6.0 (* v v))
693.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.9s

Counts

99 → 99

Iterations

Useful iterations: 2 (927.0ms)

Iter	Nodes	Cost
0	292	2543
1	883	2344
2	4880	2025
done	5000	2025

prune529.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-prod`
88×	`times-frac`
80×	`add-sqr-sqrt`
65×	`add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log` `add-cbrt-cube`
43×	`associate-r`
20×	`prod-exp` `cbrt-unprod`
15×	`associate-l`
14×	`cbrt-undiv` `div-exp`
12×	`associate-/l*`
11×	`pow1`
8×	`associate-/r/`
7×	`associate-/r*`
6×	`unswap-sqr`
5×	`associate-*r/`
4×	`expm1-log1p-u` `flip3--` `sqrt-div` `pow-prod-down` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-undiv` `associate-*l/`

Counts

4 → 208

Calls

4 calls:

47.0ms	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
36.0ms	(* 6.0 (* v v))
26.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
175.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
39.0ms	(* 6.0 (* v v))
283.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
836.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify818.0ms

Counts

220 → 220

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	401	5490
1	1245	4984
done	5000	4501

prune985.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))))
0.2b	(* 6.0 (* v v))
1.0b	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
92×	`times-frac` `sqrt-prod`
66×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
29×	`log-prod` `exp-sum`
18×	`associate-l`
16×	`add-cbrt-cube`
14×	`add-exp-log`
12×	`pow1`
11×	`unswap-sqr`
8×	`associate-/r/`
6×	`associate-/r` `associate-/l`
5×	`associate-*r/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `exp-prod` `flip3--` `sqrt-div` `pow-prod-down` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`log-div` `exp-diff`
2×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`frac-times` `sqrt-undiv` `frac-2neg` `associate-*l/` `clear-num` `log-pow` `rem-exp-log`

Counts

4 → 198

Calls

4 calls:

87.0ms	(exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))))
18.0ms	(* 6.0 (* v v))
13.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
425.0ms	(* (exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

262.0ms	(exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))))
27.0ms	(* 6.0 (* v v))
263.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
857.0ms	(* (exp (log (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify622.0ms

Counts

210 → 210

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	411	5390
1	1082	4690
done	5001	4457

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	26
1	24	26
done	24	26

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	7899×	body	80	nan
726.0ms	8000×	body	80	valid