Details

sample215.0ms

Algorithm

intervals

Results

111.0ms	91×	body	1280	valid
39.0ms	80×	body	640	valid
25.0ms	274×	body	80	valid
11.0ms	41×	body	320	valid
3.0ms	14×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	797
4	204
3	125
2	63
1	26
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite284.0ms

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-cbrt-cube` `add-exp-log`
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×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 53

Calls

2 calls:

76.0ms	(+ (exp (- 0.0 im)) (exp im))
206.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
113.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.7s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1632
1	291
0	97

prune434.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum` `add-cube-cbrt`
9×	`prod-diff` `add-exp-log`
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` `sum-log` `sub-neg` `fma-def` `flip3-+` `distribute-rgt-out` `exp-diff` `associate-*l/` `flip-+`

Counts

3 → 67

Calls

3 calls:

106.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
79.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
46.0ms	(* (exp im) (* 0.5 (sin re)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
71.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
76.0ms	(* (exp im) (* 0.5 (sin re)))

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1510
1	373
0	136

prune563.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.0b	(* (exp im) (exp im))
0.0b	(* (exp im) (exp im))
6.4b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
78×	`exp-prod`
76×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
48×	`exp-sum`
37×	`prod-diff`
25×	`pow1`
22×	`swap-sqr`
20×	`associate-r` `associate-l`
16×	`pow-prod-down` `pow-sqr` `pow-prod-up`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube`
7×	`sub-neg`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `exp-diff` `add-exp-log` `log1p-expm1-u`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`frac-times` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `associate-l/` `associate-r/` `flip--`

Counts

4 → 175

Calls

4 calls:

152.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
28.0ms	(* (exp im) (exp im))
34.0ms	(* (exp im) (exp im))
14.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
25.0ms	(* (exp im) (exp im))
15.0ms	(* (exp im) (exp im))
57.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify2.6s

Counts

187 → 187

Iterations

Iter	Nodes
done	5002
2	3241
1	555
0	206

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample7.3s

Algorithm

intervals

Results

4.0s	2967×	body	1280	valid
1.3s	2511×	body	640	valid
981.0ms	8594×	body	80	valid
364.0ms	1246×	body	320	valid
129.0ms	644×	body	160	valid