Details

sample40.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
1	6
0	6

prune10.0ms

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))

rewrite10.0ms

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:

9.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify4.2s

Counts

37 → 37

Iterations

Iter	Nodes
5	4508
4	1988
3	600
2	237
1	90
0	55

prune387.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

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` `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))))
1.0ms	(expm1 (/ (atan2 im re) (log 10)))
9.0ms	(/ (atan2 im re) (log 10))

series317.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
103.0ms	(expm1 (/ (atan2 im re) (log 10)))
89.0ms	(/ (atan2 im re) (log 10))

simplify3.6s

Counts

67 → 67

Iterations

Iter	Nodes
5	4160
4	1852
3	622
2	285
1	118
0	77

prune651.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

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))))

rewrite41.0ms

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:

10.0ms	(/ (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)))))
26.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (atan2 im re) (sqrt (log 10)))
170.0ms	(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
143.0ms	(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
109.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify3.3s

Counts

174 → 174

Iterations

Iter	Nodes
3	3370
2	1275
1	471
0	186

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

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-r`
26×	`associate-l` `sqrt-prod`
20×	`div-exp`
17×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `log-pow`
5×	`log1p-expm1-u` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`frac-times` `log1p-udef` `expm1-log1p` `log1p-expm1` `associate-*r/` `un-div-inv` `expm1-udef`

Counts

4 → 145

Calls

4 calls:

28.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.0ms	(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)))))
86.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
125.0ms	(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
122.0ms	(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
81.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify3.8s

Counts

157 → 157

Iterations

Iter	Nodes
3	2677
2	1154
1	475
0	187

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	12

end0.0ms

sample914.0ms

Algorithm

intervals

Results

704.0ms

8000×

body

valid