Details

sample135.0ms

Algorithm

intervals

Results

53.0ms	254×	body	80	nan
37.0ms	256×	body	80	valid

simplify112.0ms

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: 31.4b

localize52.0ms

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))
0.5b	(* (log base) (log base))
29.0b	(sqrt (+ (* re re) (* im im)))

rewrite122.0ms

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:

50.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
25.0ms	(* (atan2 im re) (log base))
22.0ms	(* (log base) (log base))
19.0ms	(sqrt (+ (* re re) (* im im)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
51.0ms	(* (atan2 im re) (log base))
279.0ms	(* (log base) (log base))
60.0ms	(sqrt (+ (* re re) (* im im)))

simplify3.3s

Counts

120 → 120

Iterations

Useful iterations: done (3.2s)

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

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

13.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: 3 (759.0ms)

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

prune475.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:

15.0ms	(/ 1 (- (log base)))
56.0ms	(* (atan2 im re) (/ 1 (- (log base))))

series372.0ms

Counts

2 → 6

Calls

2 calls:

299.0ms	(/ 1 (- (log base)))
72.0ms	(* (atan2 im re) (/ 1 (- (log base))))

simplify14.3s

Counts

136 → 136

Iterations

Useful iterations: 2 (1.2s)

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

prune700.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (log base)))
0.5b	(cbrt (- (log base)))
0.5b	(cbrt (- (log base)))
0.5b	(* (cbrt (- (log base))) (cbrt (- (log base))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`distribute-rgt-neg-in`
32×	`distribute-lft-neg-in`
31×	`pow1`
29×	`add-cube-cbrt`
23×	`swap-sqr`
20×	`log-pow`
15×	`associate-r` `associate-l`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 135

Calls

4 calls:

4.0ms	(cbrt (- (log base)))
4.0ms	(cbrt (- (log base)))
4.0ms	(cbrt (- (log base)))
46.0ms	(* (cbrt (- (log base))) (cbrt (- (log base))))

series2.3s

Counts

4 → 12

Calls

4 calls:

553.0ms	(cbrt (- (log base)))
553.0ms	(cbrt (- (log base)))
560.0ms	(cbrt (- (log base)))
619.0ms	(* (cbrt (- (log base))) (cbrt (- (log base))))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	104	1526
1	223	1366
2	964	1251
done	5000	1216

prune904.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes708.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b 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

sample5.0s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.8s	7942×	body	80	nan