Details

sample119.0ms

Algorithm

intervals

Results

41.0ms	273×	body	80	nan
36.0ms	256×	body	80	valid

simplify161.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
6	106
5	102
4	88
3	68
2	52
1	31
0	18

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

4.0ms	(/ (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (fma (log base) (log base) (* 0.0 0.0)))
6.0ms	(* (log base) (atan2 im re))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series673.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(/ (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (fma (log base) (log base) (* 0.0 0.0)))
48.0ms	(* (log base) (atan2 im re))
429.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify531.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	727
1	222
0	116

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log base))

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` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(/ (atan2 im re) (log base))

series73.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(/ (atan2 im re) (log base))

simplify979.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	1366
2	302
1	110
0	64

prune240.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (atan2 im re) (/ 1 (log base)))
0.3b	(/ 1 (log base))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*` `div-exp` `prod-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 78

Calls

2 calls:

23.0ms	(* (atan2 im re) (/ 1 (log base)))
8.0ms	(/ 1 (log base))

series306.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (atan2 im re) (/ 1 (log base)))
262.0ms	(/ 1 (log base))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1838
1	225
0	104

prune406.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
0.3b	(* (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
0.4b	(* (log base) (atan2 im re))
0.6b	(pow (log base) 2)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac` `add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
12×	`pow1`
7×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `log-pow` `*-commutative` `div-inv`
1×	`pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `pow-exp` `associate-*r/` `un-div-inv` `pow-flip` `unpow2` `inv-pow` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

8.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
23.0ms	(* (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
13.0ms	(* (log base) (atan2 im re))
5.0ms	(pow (log base) 2)

series795.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
167.0ms	(* (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
63.0ms	(* (log base) (atan2 im re))
226.0ms	(pow (log base) 2)

simplify2.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2388
1	426
0	177

prune805.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes614.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.8s	8000×	body	80	valid
1.7s	8160×	body	80	nan