Details

sample4.3s

Algorithm

intervals

Results

4.0s

3866×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	1916
2	396
1	90
0	31

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize228.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
120×	`times-frac`
89×	`add-cube-cbrt` `*-un-lft-identity`
40×	`add-exp-log` `add-cbrt-cube`
39×	`swap-sqr` `associate-r` `associate-l`
26×	`pow1`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 222

Calls

4 calls:

47.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
52.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms	(sqrt PI)

series181.0ms

Counts

4 → 10

Calls

4 calls:

46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
45.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
89.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify4.3s

Counts

232 → 232

Iterations

Iter	Nodes
done	5000
2	1542
1	469
0	150

prune5.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

localize459.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-exp-log` `add-cbrt-cube`
93×	`add-sqr-sqrt`
89×	`times-frac`
68×	`add-cube-cbrt` `*-un-lft-identity`
66×	`prod-exp` `cbrt-unprod`
65×	`pow1`
45×	`cbrt-undiv` `div-exp`
39×	`associate-r`
27×	`associate-l`
26×	`swap-sqr`
23×	`pow-plus` `pow-prod-up`
19×	`frac-times` `associate-*l/`
9×	`associate-*r/` `div-inv`
8×	`pow-prod-down` `unswap-sqr`
6×	`pow2` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 257

Calls

4 calls:

332.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
54.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
68.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
15.0ms	(sqrt PI)

series192.0ms

Counts

4 → 10

Calls

4 calls:

90.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
52.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify10.4s

Counts

267 → 267

Iterations

Iter	Nodes
done	5004
2	3122
1	927
0	271

prune4.5s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.4b

localize284.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

145×	`add-exp-log` `add-cbrt-cube`
93×	`add-sqr-sqrt`
89×	`times-frac`
68×	`add-cube-cbrt` `*-un-lft-identity`
66×	`prod-exp` `cbrt-unprod`
65×	`pow1`
45×	`cbrt-undiv` `div-exp`
39×	`associate-r`
27×	`associate-l`
26×	`swap-sqr`
23×	`pow-plus` `pow-prod-up`
19×	`frac-times` `associate-*l/`
9×	`associate-*r/` `div-inv`
8×	`pow-prod-down` `unswap-sqr`
6×	`pow2` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 257

Calls

4 calls:

857.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
99.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
201.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms	(sqrt PI)

series424.0ms

Counts

4 → 10

Calls

4 calls:

84.0ms	(* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
49.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
269.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify10.4s

Counts

267 → 267

Iterations

Iter	Nodes
done	5021
2	3166
1	933
0	272

prune4.7s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.3b

localize729.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(expm1 (log1p (sqrt PI)))
1.0b	(sqrt PI)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
19×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `expm1-udef`

Counts

4 → 164

Calls

4 calls:

83.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
59.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
7.0ms	(sqrt PI)

series173.0ms

Counts

4 → 8

Calls

4 calls:

117.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
51.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
0.0ms	(sqrt PI)

simplify11.6s

Counts

172 → 172

Iterations

Iter	Nodes
done	5040
3	4088
2	1338
1	407
0	139

prune5.5s

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.2b

regimes1.7s

bsearch0.0ms

simplify27.0ms

Iterations

Iter	Nodes
done	51
1	51
0	35

end0.0ms

sample33.6s

Algorithm

intervals

Results

32.1s

44927×

body

valid