Details

sample1.5s

Algorithm

intervals

Results

1.4s

3464×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
4	2009
3	1575
2	409
1	95
0	31

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize77.0ms

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)

rewrite92.0ms

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:

25.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
32.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
23.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series97.0ms

Counts

4 → 10

Calls

4 calls:

30.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
36.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
31.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify1.5s

Counts

320 → 320

Iterations

Iter	Nodes
done	2001
3	2001
2	876
1	440
0	159

prune5.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.3b

localize69.0ms

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)

rewrite84.0ms

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:

29.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
21.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
9.0ms	(sqrt PI)

series108.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
32.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
40.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify1.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	2000
3	2000
2	981
1	448
0	161

prune5.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.2b

localize75.0ms

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)

rewrite79.0ms

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:

18.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
20.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms	(sqrt PI)

series83.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify1.4s

Counts

320 → 320

Iterations

Iter	Nodes
done	2000
3	2000
2	1009
1	456
0	164

prune6.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

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)

rewrite70.0ms

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:

26.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
14.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
19.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	(sqrt PI)

series425.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
378.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
25.0ms	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms	(sqrt PI)

simplify1.3s

Counts

320 → 320

Iterations

Iter	Nodes
done	2000
3	2000
2	1007
1	454
0	164

prune6.7s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 0.2b

regimes740.0ms

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.7s

4651×

body

valid