Details

sample107.0ms

Algorithm

intervals

Results

41.0ms	264×	body	80	nan
29.0ms	256×	body	80	valid

simplify111.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot im re)
0.4b	(/ (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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(hypot im re)
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))

series628.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(hypot im re)
151.0ms	(/ (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (fma (log base) (log base) (* 0.0 0.0)))
58.0ms	(* (log base) (atan2 im re))
352.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify409.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	744
1	239
0	128

prune825.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (+ 0 (log base)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`pow1` `associate-/r*`
4×	`log-pow`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

18.0ms

(/ (atan2 im re) (+ 0 (log base)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ (atan2 im re) (+ 0 (log base)))

simplify474.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	678
1	161
0	76

prune224.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

8.0ms	(/ 1 (log base))
26.0ms	(* (atan2 im re) (/ 1 (log base)))

series310.0ms

Counts

2 → 6

Calls

2 calls:

255.0ms	(/ 1 (log base))
55.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify3.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2191
1	225
0	104

prune387.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
0.4b	(* (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)

rewrite45.0ms

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:

6.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
17.0ms	(* (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
7.0ms	(* (log base) (atan2 im re))
9.0ms	(pow (log base) 2)

series699.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
135.0ms	(* (fma (- 0.0) (log (hypot im re)) (* (log base) (atan2 im re))) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
62.0ms	(* (log base) (atan2 im re))
218.0ms	(pow (log base) 2)

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2388
1	426
0	177

prune584.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes653.0ms

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	10
2	10
1	9
0	8

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.4s	8087×	body	80	nan