Details

sample121.0ms

Algorithm

intervals

Results

47.0ms	250×	body	80	nan
38.0ms	256×	body	80	valid

simplify76.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	80
5	80
4	74
3	56
2	44
1	27
0	18

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.6b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* im im) (* re re)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.3b	(* (log base) (atan2 im re))
0.5b	(* (log base) (log base))
32.1b	(sqrt (+ (* im im) (* re re)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`pow1` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`associate-l`
7×	`associate-r` `log-pow`
6×	`log-prod` `swap-sqr`
4×	`add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow-plus` `flip3--` `pow1/2` `div-sub` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `flip--`

Counts

4 → 102

Calls

4 calls:

43.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* im im) (* re re)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
6.0ms	(* (log base) (atan2 im re))
7.0ms	(* (log base) (log base))
8.0ms	(sqrt (+ (* im im) (* re re)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* im im) (* re re)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
58.0ms	(* (log base) (atan2 im re))
230.0ms	(* (log base) (log base))
51.0ms	(sqrt (+ (* im im) (* re re)))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2658
1	485
0	185

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`associate-/r*`
9×	`pow1`
8×	`log-pow`
4×	`neg-mul-1`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `add-log-exp`

Counts

1 → 63

Calls

1 calls:

18.0ms

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

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	3610
2	693
1	199
0	106

prune362.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
57×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
50×	`add-cube-cbrt`
40×	`associate-r`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`pow1`
15×	`add-exp-log`
14×	`log-pow`
12×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`neg-mul-1`
4×	`div-exp` `prod-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `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 → 130

Calls

2 calls:

7.0ms	(/ 1 (- (log base)))
41.0ms	(* (atan2 im re) (/ 1 (- (log base))))

series303.0ms

Counts

2 → 6

Calls

2 calls:

242.0ms	(/ 1 (- (log base)))
61.0ms	(* (atan2 im re) (/ 1 (- (log base))))

simplify7.2s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	2958
1	373
0	156

prune612.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- (log base)) (atan2 im re)))
0.3b	(/ (- (log base)) (atan2 im re))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

300×	`times-frac`
156×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
64×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
43×	`associate-/r*`
35×	`pow1`
32×	`log-pow`
16×	`neg-mul-1`
15×	`add-exp-log` `associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 249

Calls

2 calls:

30.0ms	(/ 1 (/ (- (log base)) (atan2 im re)))
16.0ms	(/ (- (log base)) (atan2 im re))

series154.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ 1 (/ (- (log base)) (atan2 im re)))
53.0ms	(/ (- (log base)) (atan2 im re))

simplify1.9s

Counts

255 → 255

Iterations

Iter	Nodes
done	5000
2	4664
1	818
0	303

prune906.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes476.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.5s	7964×	body	80	nan