Details

sample861.0ms

Algorithm

intervals

Results

772.0ms

3661×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	2303
2	401
1	90
0	31

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize145.0ms

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)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
120×	`times-frac`
89×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-cbrt-cube` `add-exp-log`
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` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 222

Calls

4 calls:

29.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series138.0ms

Counts

4 → 10

Calls

4 calls:

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

simplify2.5s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
2	3376
1	480
0	150

prune2.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize115.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (* 1.0 1.0) (* (fabs x) (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)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
95×	`times-frac`
69×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
39×	`associate-r`
31×	`associate-l`
26×	`swap-sqr` `prod-exp` `cbrt-unprod`
21×	`pow1` `cbrt-undiv` `div-exp`
12×	`unswap-sqr`
10×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `sqrt-prod`
2×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 210

Calls

4 calls:

63.0ms	(* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
23.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series171.0ms

Counts

4 → 10

Calls

4 calls:

73.0ms	(* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))
51.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
47.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify932.0ms

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
1	735
0	205

prune2.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

localize158.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (/ 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)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
90×	`times-frac`
69×	`add-cbrt-cube` `add-exp-log`
68×	`*-un-lft-identity` `add-cube-cbrt`
39×	`associate-r`
38×	`pow1`
27×	`associate-l`
26×	`swap-sqr` `prod-exp` `cbrt-unprod`
21×	`cbrt-undiv` `div-exp`
10×	`unswap-sqr`
9×	`div-inv`
8×	`pow-plus` `pow-prod-up`
7×	`frac-times` `associate-*l/`
5×	`pow-prod-down` `associate-*r/`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 217

Calls

4 calls:

69.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
21.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
23.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series126.0ms

Counts

4 → 10

Calls

4 calls:

51.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
43.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
31.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify1.1s

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
1	702
0	205

prune2.5s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.3b

localize151.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (/ 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)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
90×	`times-frac`
69×	`add-cbrt-cube` `add-exp-log`
68×	`*-un-lft-identity` `add-cube-cbrt`
39×	`associate-r`
38×	`pow1`
27×	`associate-l`
26×	`swap-sqr` `prod-exp` `cbrt-unprod`
21×	`cbrt-undiv` `div-exp`
10×	`unswap-sqr`
9×	`div-inv`
8×	`pow-plus` `pow-prod-up`
7×	`frac-times` `associate-*l/`
5×	`pow-prod-down` `associate-*r/`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 217

Calls

4 calls:

45.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
21.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
25.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series147.0ms

Counts

4 → 10

Calls

4 calls:

78.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
34.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify1.1s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
1	710
0	205

prune2.2s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.3b

regimes577.0ms

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	51
1	51
0	35

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.9s

15801×

body

valid