Details

sample30.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify4.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

10.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify1.7s

Counts

37 → 37

Iterations

Iter	Nodes
done	2079
5	2079
4	1620
3	590
2	237
1	92
0	55

prune164.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10))))
0.6b	(expm1 (/ (atan2 im re) (log 10)))
0.9b	(/ (atan2 im re) (log 10))

rewrite6.0ms

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` `insert-posit16` `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 → 58

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
0.0ms	(expm1 (/ (atan2 im re) (log 10)))
5.0ms	(/ (atan2 im re) (log 10))

series315.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
123.0ms	(expm1 (/ (atan2 im re) (log 10)))
67.0ms	(/ (atan2 im re) (log 10))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	2086
5	2086
4	1709
3	621
2	285
1	120
0	77

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10)))
0.4b	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
0.6b	(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
0.8b	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite35.0ms

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` `insert-posit16` `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 → 162

Calls

4 calls:

6.0ms	(/ (atan2 im re) (sqrt (log 10)))
0.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
1.0ms	(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
25.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (atan2 im re) (sqrt (log 10)))
139.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
113.0ms	(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
88.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.2s

Counts

174 → 174

Iterations

Iter	Nodes
done	2004
3	2004
2	1358
1	474
0	186

prune834.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.4b	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
0.6b	(expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))
0.8b	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
46×	`times-frac`
45×	`add-sqr-sqrt`
40×	`prod-exp`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
30×	`add-cbrt-cube`
28×	`associate-l`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
17×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `log-pow`
5×	`associate-*r/` `log1p-expm1-u` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`un-div-inv`
2×	`frac-times` `*-commutative` `div-inv`
1×	`log1p-udef` `expm1-log1p` `associate-*l/` `log1p-expm1` `expm1-udef`

Counts

4 → 147

Calls

4 calls:

29.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
1.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
1.0ms	(expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))
44.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
167.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
148.0ms	(expm1 (* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))
79.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify1.0s

Counts

159 → 159

Iterations

Iter	Nodes
done	2001
3	2001
2	1037
1	466
0	186

prune628.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes345.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample813.0ms

Algorithm

intervals

Results

621.0ms

8000×

body

valid