Details

sample1.6s

Algorithm

intervals

Results

1.5s

3198×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Iter	Nodes
4	8828
3	1935
2	407
1	93
0	31

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize127.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b	(sqrt PI)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-sqr-sqrt`
144×	`times-frac`
124×	`add-exp-log`
113×	`*-un-lft-identity`
89×	`add-cube-cbrt`
50×	`pow1`
48×	`div-exp` `prod-exp`
45×	`swap-sqr`
40×	`add-cbrt-cube`
39×	`associate-r` `associate-l`
27×	`unswap-sqr`
24×	`rec-exp` `1-exp` `pow-flip` `inv-pow`
18×	`div-inv`
15×	`pow-prod-up`
12×	`cbrt-undiv` `cbrt-unprod`
9×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 310

Calls

4 calls:

28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series79.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
26.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify4.1s

Counts

320 → 320

Iterations

Iter	Nodes
3	3491
2	1249
1	485
0	168

prune6.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize94.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
0.6b	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.6b	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

738×	`add-exp-log`
663×	`times-frac`
465×	`add-sqr-sqrt`
412×	`div-exp`
333×	`*-un-lft-identity`
300×	`add-cube-cbrt`
254×	`prod-exp`
180×	`add-cbrt-cube`
114×	`pow1`
99×	`associate-l`
98×	`swap-sqr`
87×	`associate-r`
86×	`rec-exp` `1-exp`
82×	`cbrt-undiv`
65×	`div-inv`
56×	`cbrt-unprod` `pow-div`
53×	`unswap-sqr`
34×	`pow-flip` `inv-pow`
30×	`pow-prod-up`
10×	`pow-sqr`
9×	`pow-prod-down`
7×	`frac-times` `associate-*r/`
5×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `pow-plus`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 631

Calls

4 calls:

88.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
46.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
28.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
9.0ms	(sqrt PI)

series169.0ms

Counts

4 → 10

Calls

4 calls:

70.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
54.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
45.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

641 → 641

Iterations

Iter	Nodes
2	3854
1	1629
0	538

prune11.6s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 0.2b

localize89.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (fabs x) -5) (/ (/ 1 (fabs x)) (fabs x)))
0.4b	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
0.6b	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

678×	`add-exp-log`
418×	`times-frac`
370×	`div-exp`
312×	`add-sqr-sqrt`
244×	`prod-exp`
213×	`*-un-lft-identity`
193×	`add-cube-cbrt`
153×	`add-cbrt-cube`
87×	`associate-r`
86×	`pow1`
79×	`rec-exp` `1-exp`
67×	`cbrt-undiv`
63×	`associate-l`
50×	`cbrt-unprod`
49×	`swap-sqr`
43×	`unswap-sqr`
42×	`pow-div`
40×	`div-inv`
27×	`pow-prod-up` `pow-flip` `inv-pow`
8×	`unpow-prod-down`
7×	`associate-*r/` `pow-sqr`
6×	`frac-times` `pow-prod-down` `sqr-pow`
5×	`pow-to-exp` `pow-exp`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2`

Counts

4 → 507

Calls

4 calls:

18.0ms	(* (pow (fabs x) -5) (/ (/ 1 (fabs x)) (fabs x)))
54.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
37.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series219.0ms

Counts

4 → 10

Calls

4 calls:

100.0ms	(* (pow (fabs x) -5) (/ (/ 1 (fabs x)) (fabs x)))
65.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
54.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.7s

Counts

517 → 517

Iterations

Iter	Nodes
2	4745
1	1964
0	638

prune10.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (fabs x)) (fabs x))
0.4b	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
0.6b	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

647×	`add-exp-log`
412×	`times-frac`
358×	`div-exp`
283×	`add-sqr-sqrt`
229×	`prod-exp`
215×	`*-un-lft-identity`
198×	`add-cube-cbrt`
149×	`add-cbrt-cube`
86×	`pow1`
77×	`rec-exp` `1-exp`
67×	`cbrt-undiv`
56×	`associate-l`
49×	`swap-sqr`
47×	`cbrt-unprod`
44×	`associate-r`
42×	`pow-div`
38×	`div-inv`
28×	`unswap-sqr`
27×	`pow-flip` `inv-pow`
25×	`pow-prod-up`
13×	`associate-/l*`
7×	`pow-sqr`
6×	`frac-times` `pow-prod-down` `associate-*r/`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `sqrt-prod`
2×	`*-commutative`
1×	`pow2` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow-plus` `pow1/2` `associate-/l/`

Counts

4 → 487

Calls

4 calls:

15.0ms	(/ (/ 1 (fabs x)) (fabs x))
68.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
25.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series127.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(/ (/ 1 (fabs x)) (fabs x))
56.0ms	(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
38.0ms	(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.8s

Counts

497 → 497

Iterations

Iter	Nodes
2	4572
1	1734
0	560

prune9.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes318.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	25
1	25
0	22

end0.0ms

sample14.3s

Algorithm

intervals

Results

13.7s

35712×

body

valid