Details

sample147.0ms

Algorithm

intervals

Results

48.0ms	93×	body	1280	valid
39.0ms	259×	body	80	valid
26.0ms	90×	body	640	valid
7.0ms	32×	body	320	valid
3.0ms	22×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	108	11
4	491	11
5	4288	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

29.0ms	(+ (exp (- im)) (exp im))
90.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp (- im)) (exp im))
96.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify2.0s

Counts

48 → 48

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	91	586
1	285	566
2	1970	478
done	5002	474

prune146.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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-r` `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-l` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 63

Calls

3 calls:

42.0ms	(* (* 0.5 (cos re)) (exp im))
37.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
17.0ms	(/ (cos re) (exp im))

series219.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* 0.5 (cos re)) (exp im))
129.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im)))
47.0ms	(/ (cos re) (exp im))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	888
1	325	828
2	1545	723
done	5000	718

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0b	(sqrt (exp (- im)))
0.0b	(sqrt (exp (- im)))
0.0b	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-pow1`
20×	`exp-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`neg-sub0` `exp-neg` `neg-mul-1` `rem-sqrt-square` `pow1/2` `exp-diff`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

31.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
7.0ms	(sqrt (exp (- im)))
8.0ms	(sqrt (exp (- im)))
0.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

series228.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
24.0ms	(sqrt (exp (- im)))
18.0ms	(sqrt (exp (- im)))
75.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: done (1000.0ms)

Iter	Nodes	Cost
0	116	1029
1	250	774
2	1322	687
done	5000	683

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	14	15
done	14	15

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	3020×	body	1280	valid
1.5s	2516×	body	640	valid
910.0ms	8530×	body	80	valid
326.0ms	1191×	body	320	valid
110.0ms	644×	body	160	valid