Details

sample994.0ms

Algorithm

intervals

Results

879.0ms

3624×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	31	958
1	90	918
2	384	918
3	2139	878
done	5000	798

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize117.0ms

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)

rewrite118.0ms

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:

36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
39.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
23.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series146.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
52.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
48.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.8s

Counts

224 → 224

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	146	55998
1	476	49987
2	3431	47778
done	5000	45978

prune2.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.4b

localize129.0ms

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)

rewrite98.0ms

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:

46.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
17.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series126.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
32.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
42.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify1.3s

Counts

219 → 219

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	199	55190
1	702	48448
done	5000	45280

prune2.2s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.4b

localize118.0ms

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)

rewrite64.0ms

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:

18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
19.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)

series115.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
51.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
38.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)

simplify2.8s

Counts

224 → 224

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	145	55998
1	459	49987
2	3189	48058
done	5001	46018

prune2.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 0.2b

localize123.0ms

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)

rewrite93.0ms

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:

17.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
26.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
36.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
2.0ms	(sqrt PI)

series137.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (/ 1.0 (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)

simplify2.8s

Counts

224 → 224

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	147	56038
1	468	50027
2	3188	47938
done	5001	46018

prune2.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.2b

regimes591.0ms

bsearch0.0ms

simplify24.0ms

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	34	1078
1	46	1078
done	46	1078

end0.0ms

sample5.7s

Algorithm

intervals

Results

5.3s

19409×

body

valid