Details

sample936.0ms

Algorithm

intervals

Results

797.0ms

3624×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	2139
2	384
1	90
0	31

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize139.0ms

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)

rewrite104.0ms

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×	`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 → 214

Calls

4 calls:

19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
41.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series116.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
39.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
31.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.8s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	3431
1	476
0	146

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize108.0ms

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)

rewrite92.0ms

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×	`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 → 202

Calls

4 calls:

41.0ms	(* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))
20.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
20.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series123.0ms

Counts

4 → 10

Calls

4 calls:

47.0ms	(* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))
46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
29.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify1.2s

Counts

212 → 212

Iterations

Iter	Nodes
done	5000
1	734
0	199

prune2.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

localize164.0ms

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)

rewrite145.0ms

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` `pow-sqr` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 209

Calls

4 calls:

73.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series116.0ms

Counts

4 → 10

Calls

4 calls:

41.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
30.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
44.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify1.1s

Counts

219 → 219

Iterations

Iter	Nodes
done	5001
1	697
0	199

prune2.3s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.3b

localize203.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
86×	`times-frac`
68×	`pow1`
65×	`*-un-lft-identity` `add-cube-cbrt`
35×	`sqrt-pow1`
30×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
24×	`sqrt-div`
23×	`pow-prod-down`
19×	`frac-times`
13×	`associate-l/` `associate-r/` `pow-prod-up`
11×	`pow1/2`
9×	`prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
8×	`cbrt-undiv` `div-exp` `div-inv`
7×	`sqrt-prod`
6×	`pow3`
4×	`add-log-exp`
3×	`pow2` `pow-plus` `*-commutative`
1×	`rem-sqrt-square` `rem-square-sqrt` `sqrt-unprod`

Counts

4 → 214

Calls

4 calls:

192.0ms	(* (sqrt (* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))) (sqrt (* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))))
19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
25.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series195.0ms

Counts

4 → 10

Calls

4 calls:

123.0ms	(* (sqrt (* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))) (sqrt (* (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 1.0 (fabs x)))))
26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
46.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.9s

Counts

224 → 224

Iterations

Iter	Nodes
done	5001
2	4241
1	571
0	199

prune2.3s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 0.3b

regimes782.0ms

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	64
1	64
0	44

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.0s

19409×

body

valid