Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite14.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

11.0ms

(/ (atan2 im re) (log 10.0))

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(/ (atan2 im re) (log 10.0))

simplify1.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	1224
2	265
1	91
0	54

prune187.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.6b	(expm1 (/ (atan2 im re) (log 10.0)))
0.8b	(/ (atan2 im re) (log 10.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `log-pow` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-/l*` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 55

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
1.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
9.0ms	(/ (atan2 im re) (log 10.0))

series320.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
109.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
64.0ms	(/ (atan2 im re) (log 10.0))

simplify896.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	1601
2	356
1	124
0	74

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.4b	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
0.6b	(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
0.8b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
85×	`times-frac`
54×	`*-un-lft-identity`
51×	`sqrt-prod`
48×	`add-cube-cbrt`
28×	`add-exp-log`
25×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
16×	`pow1`
15×	`unswap-sqr`
10×	`log-pow`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `log1p-expm1-u`
4×	`expm1-log1p-u` `cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-times` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log1p-expm1` `associate-r/` `*-commutative` `expm1-udef`

Counts

4 → 158

Calls

4 calls:

5.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
0.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
0.0ms	(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
52.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
159.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
141.0ms	(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
84.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	3050
1	487
0	183

prune658.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))))
0.6b	(expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re))))
0.8b	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
1.0b	(/ 1 (log 10.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
30×	`add-exp-log`
27×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l`
18×	`add-cbrt-cube`
17×	`pow1`
12×	`prod-exp` `sqrt-prod`
7×	`log-pow`
6×	`div-exp` `cbrt-unprod`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `associate-/l`
2×	`sqrt-div` `div-inv`
1×	`frac-times` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `associate-r` `log1p-expm1` `associate-r/` `-commutative` `pow-flip` `inv-pow` `expm1-udef`

Counts

4 → 112

Calls

4 calls:

0.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))))
0.0ms	(expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re))))
61.0ms	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
5.0ms	(/ 1 (log 10.0))

series421.0ms

Counts

4 → 10

Calls

4 calls:

173.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))))
144.0ms	(expm1 (* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re))))
104.0ms	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
0.0ms	(/ 1 (log 10.0))

simplify2.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	2222
1	365
0	151

prune641.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample700.0ms

Algorithm

intervals

Results

383.0ms

8000×

body

valid