Details

sample44.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize20.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ (atan2 im re) (log 10))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

10.0ms

(/ (atan2 im re) (log 10))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (atan2 im re) (log 10))

simplify4.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5011
5	4700
4	1721
3	609
2	240
1	90
0	53

prune107.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10)))
0.8b	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

203×	`associate-/r*`
176×	`add-sqr-sqrt`
169×	`frac-times`
163×	`sqrt-prod`
137×	`*-un-lft-identity`
130×	`add-cube-cbrt`
88×	`associate-/l*`
85×	`times-frac`
42×	`pow1`
38×	`log-pow`
30×	`clear-num`
29×	`frac-2neg`
26×	`add-exp-log`
25×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`associate-l/` `associate-r/`
9×	`div-exp`
8×	`prod-exp`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`div-inv`
2×	`rec-exp` `1-exp` `un-div-inv` `insert-posit16` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 328

Calls

2 calls:

11.0ms	(/ (atan2 im re) (sqrt (log 10)))
80.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series280.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(/ (atan2 im re) (sqrt (log 10)))
103.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.8s

Counts

334 → 334

Iterations

Iter	Nodes
done	5005
2	2738
1	1172
0	329

prune668.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.8b	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

274×	`add-sqr-sqrt`
224×	`associate-/r*`
211×	`associate-*r/`
208×	`frac-times`
190×	`sqrt-prod`
184×	`*-un-lft-identity`
143×	`add-cube-cbrt`
115×	`times-frac`
111×	`associate-/l*`
88×	`associate-r`
76×	`add-exp-log`
65×	`unswap-sqr`
50×	`pow1`
47×	`clear-num`
45×	`un-div-inv`
41×	`log-pow`
40×	`prod-exp`
32×	`frac-2neg`
31×	`associate-l`
28×	`add-cbrt-cube`
20×	`div-exp`
13×	`associate-*l/`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv`
4×	`pow-prod-down`
3×	`*-commutative` `div-inv`
2×	`insert-posit16` `add-log-exp`

Counts

2 → 432

Calls

2 calls:

36.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
207.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series201.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
81.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify2.1s

Counts

438 → 438

Iterations

Iter	Nodes
done	5000
2	3165
1	1332
0	365

prune673.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b

(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))))

0.1b

(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))

0.8b

(* (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))) (sqrt (/ 1 (sqrt (log 10)))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

5291×	`sqrt-div`
5070×	`frac-times`
4319×	`associate-/r*`
3305×	`sqrt-prod`
3276×	`add-sqr-sqrt`
2951×	`associate-*r/`
2218×	`*-un-lft-identity`
1948×	`add-cube-cbrt`
1851×	`associate-/l*`
754×	`unswap-sqr`
666×	`times-frac`
654×	`pow1`
635×	`log-pow`
617×	`clear-num` `frac-2neg`
390×	`associate-*l/`
196×	`associate-r`
166×	`associate-l`
59×	`add-exp-log`
35×	`add-cbrt-cube`
34×	`prod-exp`
18×	`cbrt-unprod`
10×	`pow-prod-down`
8×	`div-exp`
6×	`*-commutative` `div-inv`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`insert-posit16` `add-log-exp`

Counts

3 → 3502

Calls

3 calls:

204.0ms

(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))))

57.0ms

(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))

890.0ms

(* (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))) (sqrt (/ 1 (sqrt (log 10)))))

series802.0ms

Counts

3 → 9

Calls

3 calls:

376.0ms

(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))))

309.0ms

(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))

117.0ms

(* (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))) (sqrt (/ 1 (sqrt (log 10)))))

simplify3.2s

Counts

3511 → 3511

Iterations

Iter	Nodes
done	5000
0	2084

prune10.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample962.0ms

Algorithm

intervals

Results

763.0ms

8000×

body

valid