Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
16.0ms	238×	body	80	nan

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	28
1	27	21
2	33	21
done	33	21

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(hypot re im)
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series554.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(hypot re im)
141.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
104.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
261.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify821.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	111	1384
1	199	1361
2	528	1185
3	2003	1140
done	5000	1140

prune331.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (hypot (log base) 0.0))
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
0.4b	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
43×	`times-frac`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 130

Calls

4 calls:

2.0ms	(/ 1 (hypot (log base) 0.0))
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
13.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series956.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(/ 1 (hypot (log base) 0.0))
154.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
353.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
104.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify1.1s

Counts

142 → 142

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	185	3303
1	454	3127
2	1782	2729
done	5000	2729

prune490.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ -1 (- (hypot (log base) 0.0)))
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
0.4b	(* (/ -1 (- (hypot (log base) 0.0))) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
74×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
34×	`associate-l`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-/r*`
7×	`neg-mul-1`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 169

Calls

4 calls:

3.0ms	(/ -1 (- (hypot (log base) 0.0)))
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
24.0ms	(* (/ -1 (- (hypot (log base) 0.0))) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series954.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(/ -1 (- (hypot (log base) 0.0)))
153.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
352.0ms	(* (/ -1 (- (hypot (log base) 0.0))) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
104.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify920.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	243	4129
1	605	4008
2	2772	3632
done	5000	3632

prune737.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.4b	(exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0)))
0.4b	(log (exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

1936×	`times-frac`
930×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
632×	`exp-prod`
600×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
317×	`log-pow`
200×	`neg-mul-1`
104×	`associate-/l*`
13×	`div-inv`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-frac-neg`
6×	`div-sub`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `neg-sub0` `exp-neg` `log-prod` `div-exp` `associate-/r*`
2×	`log-div` `exp-diff`
1×	`frac-2neg` `rem-log-exp` `log-rec` `clear-num` `fma-udef` `rem-exp-log` `associate-/l/`

Counts

4 → 1109

Calls

4 calls:

30.0ms	(/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
81.0ms	(exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0)))
95.0ms	(log (exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))
105.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
223.0ms	(exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0)))
182.0ms	(log (exp (/ (/ (- (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))) (- (hypot (log base) 0.0))) (hypot (log base) 0.0))))

simplify695.0ms

Counts

1121 → 1121

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	1292	38146
1	2223	36177
done	5000	36112

prune4.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	21	31
done	21	31

end0.0ms

sample1.4s

Algorithm

intervals

Results

540.0ms	7982×	body	80	nan
536.0ms	8000×	body	80	valid