Details

sample78.0ms

Algorithm

intervals

Results

35.0ms	87×	body	1280	valid
13.0ms	61×	body	640	valid
11.0ms	257×	body	80	valid
5.0ms	34×	body	320	valid
1.0ms	14×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	58	11
3	108	11
4	253	11
5	389	11
6	530	11
7	809	11
8	1323	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

27.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify490.0ms

Counts

28 → 28

Iterations

Useful iterations: done (489.0ms)

Iter	Nodes	Cost
0	75	415
1	220	404
2	1013	334
done	5000	333

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
0.0b	(* (exp im) (* 0.5 (cos re)))
0.0b	(/ (cos re) (exp im))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
7×	`add-exp-log`
5×	`add-log-exp`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
9.0ms	(* (exp im) (* 0.5 (cos re)))
4.0ms	(/ (cos re) (exp im))

series155.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
44.0ms	(* (exp im) (* 0.5 (cos re)))
29.0ms	(/ (cos re) (exp im))

simplify491.0ms

Counts

72 → 72

Iterations

Useful iterations: done (488.0ms)

Iter	Nodes	Cost
0	122	884
1	317	811
2	1188	717
done	5000	714

prune181.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))
0.0b	(* (exp im) (* 0.5 (cos re)))
0.1b	(/ (exp im) (cos re))
0.2b	(/ 1 (/ (exp im) (cos re)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
10×	`pow1`
8×	`div-exp`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `associate-r` `sum-log` `associate-/r/` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 141

Calls

4 calls:

12.0ms	(+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))
9.0ms	(* (exp im) (* 0.5 (cos re)))
3.0ms	(/ (exp im) (cos re))
7.0ms	(/ 1 (/ (exp im) (cos re)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))
45.0ms	(* (exp im) (* 0.5 (cos re)))
35.0ms	(/ (exp im) (cos re))
39.0ms	(/ 1 (/ (exp im) (cos re)))

simplify1.3s

Counts

153 → 153

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	223	2076
1	559	1820
2	2294	1524
done	5000	1516

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2937×	body	1280	valid
588.0ms	8585×	body	80	valid
543.0ms	2478×	body	640	valid
178.0ms	1252×	body	320	valid
58.0ms	614×	body	160	valid