Details

sample94.0ms

Algorithm

intervals

Results

41.0ms	99×	body	1280	valid
17.0ms	77×	body	640	valid
14.0ms	290×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify28.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	62	12
3	117	12
4	191	12
5	363	12
6	681	12
7	855	12
8	1330	12
9	2557	12
10	4729	12
done	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`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` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

31.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify445.0ms

Counts

59 → 59

Iterations

Useful iterations: done (444.0ms)

Iter	Nodes	Cost
0	97	642
1	279	622
2	1093	528
done	5000	527

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

32.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
39.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
48.0ms	(* (exp im) (* 0.5 (sin re)))
52.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify517.0ms

Counts

76 → 76

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	137	1113
1	376	945
2	1457	799
done	5000	790

prune205.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

17.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
10.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

series268.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
46.0ms	(* (exp im) (* 0.5 (sin re)))
88.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

simplify567.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	138	1097
1	410	1025
2	1794	843
done	5000	843

prune200.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

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	12	18
1	16	18
done	16	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3006×	body	1280	valid
590.0ms	2566×	body	640	valid
412.0ms	8542×	body	80	valid
195.0ms	1263×	body	320	valid
63.0ms	594×	body	160	valid