Details

sample103.0ms

Algorithm

intervals

Results

33.0ms	239×	body	80	nan
33.0ms	256×	body	80	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	28
1	27	28
2	44	28
3	56	28
4	74	28
5	80	28
done	80	28

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.3b	(* (atan2 im re) (log base))
0.5b	(* (log base) (log base))
31.3b	(sqrt (+ (* re re) (* im im)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

43.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
14.0ms	(* (atan2 im re) (log base))
24.0ms	(* (log base) (log base))
14.0ms	(sqrt (+ (* re re) (* im im)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
46.0ms	(* (atan2 im re) (log base))
190.0ms	(* (log base) (log base))
42.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.3s

Counts

120 → 120

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	194	2236
1	508	2059
2	2935	1858
done	5000	1836

prune804.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 63

Calls

1 calls:

9.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	106	887
1	199	841
2	687	817
3	3597	812
done	5000	812

prune321.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 130

Calls

2 calls:

11.0ms	(/ 1 (- (log base)))
47.0ms	(* (atan2 im re) (/ 1 (- (log base))))

series303.0ms

Counts

2 → 6

Calls

2 calls:

247.0ms	(/ 1 (- (log base)))
56.0ms	(* (atan2 im re) (/ 1 (- (log base))))

simplify10.3s

Counts

136 → 136

Iterations

Useful iterations: 2 (831.0ms)

Iter	Nodes	Cost
0	156	1468
1	373	1151
2	3142	1017
done	5000	1017

prune495.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (pow (- (log base)) 3))
0.3b	(* (atan2 im re) (cbrt (/ 1 (pow (- (log base)) 3))))
0.6b	(cbrt (/ 1 (pow (- (log base)) 3)))
0.7b	(pow (- (log base)) 3)

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

278×	`times-frac`
198×	`add-sqr-sqrt`
197×	`cbrt-prod`
180×	`*-un-lft-identity`
176×	`add-cube-cbrt`
134×	`unpow-prod-down` `cube-prod`
97×	`associate-r`
88×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
51×	`pow1`
44×	`log-pow`
30×	`associate-/r*`
22×	`neg-mul-1`
16×	`add-exp-log`
13×	`sqr-pow`
11×	`cube-mult` `unpow3`
10×	`unswap-sqr`
8×	`add-cbrt-cube`
6×	`div-exp`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-l` `div-inv` `associate-/l*`
2×	`cbrt-div`
1×	`cbrt-undiv` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `cube-neg` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `inv-pow` `rem-cube-cbrt`

Counts

4 → 412

Calls

4 calls:

38.0ms	(/ 1 (pow (- (log base)) 3))
160.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (- (log base)) 3))))
27.0ms	(cbrt (/ 1 (pow (- (log base)) 3)))
12.0ms	(pow (- (log base)) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(/ 1 (pow (- (log base)) 3))
109.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (- (log base)) 3))))
276.0ms	(cbrt (/ 1 (pow (- (log base)) 3)))
429.0ms	(pow (- (log base)) 3)

simplify3.9s

Counts

424 → 424

Iterations

Useful iterations: 2 (795.0ms)

Iter	Nodes	Cost
0	326	6279
1	698	4359
2	3682	4277
done	5001	4277

prune1.1s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes481.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
2	19	10
done	19	10

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.3s	8139×	body	80	nan