Details

sample166.0ms

Algorithm

intervals

Results

58.0ms	73×	body	640	valid
45.0ms	85×	body	1280	valid
22.0ms	289×	body	80	valid
8.0ms	34×	body	320	valid
2.0ms	16×	body	160	valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2838
6	1092
5	472
4	207
3	120
2	63
1	26
0	11

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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)))

rewrite393.0ms

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-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 55

Calls

2 calls:

141.0ms	(+ (exp (- 0.0 im)) (exp im))
242.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series219.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp (- 0.0 im)) (exp im))
184.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.9s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1138
1	292
0	99

prune829.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))))
0.2b	(* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))
0.3b	(* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re))))
21.8b	(cbrt (* (* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)))) (+ (exp (- 0.0 im)) (exp im))))

rewrite8.2s

Algorithm

rewrite-expression-head

Rules

138×	`pow1` `add-cbrt-cube` `add-exp-log`
105×	`pow-prod-down` `prod-exp` `cbrt-unprod`
42×	`associate-*r/`
33×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div`
16×	`associate-*l/`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 178

Calls

4 calls:

1.7s	(* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))))
175.0ms	(* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))
339.0ms	(* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re))))
5.9s	(cbrt (* (* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)))) (+ (exp (- 0.0 im)) (exp im))))

series696.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))))
68.0ms	(* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))
127.0ms	(* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re))))
236.0ms	(cbrt (* (* (* (sin re) (* (* 0.5 (* 0.5 (sin re))) (* 0.5 (sin re)))) (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)))) (+ (exp (- 0.0 im)) (exp im))))

simplify3.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
1	1068
0	331

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes863.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.3s	3095×	body	1280	valid
1.4s	2452×	body	640	valid
1.3s	8610×	body	80	valid
513.0ms	1252×	body	320	valid
118.0ms	589×	body	160	valid