Details

sample84.0ms

Algorithm

intervals

Results

31.0ms	273×	body	80	nan
25.0ms	256×	body	80	valid

simplify81.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize60.0ms

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)))
0.4b	(* (atan2 im re) (log base))
0.6b	(* (log base) (log base))
31.0b	(sqrt (+ (* re re) (* im im)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-cbrt-cube` `add-exp-log`
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-+` `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 → 108

Calls

4 calls:

62.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
15.0ms	(* (atan2 im re) (log base))
17.0ms	(* (log base) (log base))
13.0ms	(sqrt (+ (* re re) (* im im)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
31.0ms	(* (atan2 im re) (log base))
205.0ms	(* (log base) (log base))
47.0ms	(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	2938	1853
done	5001	1836

prune913.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

21.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify387.0ms

Counts

40 → 40

Iterations

Useful iterations: done (385.0ms)

Iter	Nodes	Cost
0	74	544
1	157	415
2	653	394
done	5000	387

prune229.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

6.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: 3 (584.0ms)

Iter	Nodes	Cost
0	106	887
1	199	841
2	693	817
3	3610	812
done	5000	812

prune352.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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×	`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 → 74

Calls

2 calls:

27.0ms	(* (atan2 im re) (/ 1 (log base)))
9.0ms	(/ 1 (log base))

series320.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (atan2 im re) (/ 1 (log base)))
273.0ms	(/ 1 (log base))

simplify4.2s

Counts

80 → 80

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	100	761
1	222	629
2	2031	528
done	5001	516

prune271.0ms

Pruning

12 alts after pruning (10 fresh and 2 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

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	10	8
done	10	8

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	8000×	body	80	valid
1.8s	8160×	body	80	nan