Details

sample179.0ms

Algorithm

intervals

Results

60.0ms	91×	body	1280	valid
48.0ms	274×	body	80	valid
31.0ms	82×	body	640	valid
8.0ms	36×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	124	12
4	207	12
5	803	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite274.0ms

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:

271.0ms

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

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

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

simplify1.2s

Counts

28 → 28

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	81	450
1	248	439
2	1505	365
done	5001	365

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite631.0ms

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:

118.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
29.0ms	(* (exp im) (* 0.5 (sin re)))
479.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
66.0ms	(* (exp im) (* 0.5 (sin re)))
78.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1113
1	378	945
2	1563	799
done	5000	788

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re)))
0.4b	(/ (* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
6.9b	(- (exp (* 2 (- 0.0 im))) (exp (+ im im)))
7.0b	(- (exp (- 0.0 im)) (exp im))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

268×	`prod-diff`
181×	`exp-sum`
151×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
139×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
39×	`fma-neg`
18×	`add-exp-log` `add-cbrt-cube`
16×	`sub-neg`
9×	`pow1`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`associate-l` `prod-exp` `cbrt-unprod`
5×	`flip3--` `times-frac` `associate-/r*` `flip--` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `pow-prod-down`
2×	`diff-log` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 272

Calls

4 calls:

334.0ms	(* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re)))
405.0ms	(/ (* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
181.0ms	(- (exp (* 2 (- 0.0 im))) (exp (+ im im)))
123.0ms	(- (exp (- 0.0 im)) (exp im))

series455.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re)))
223.0ms	(/ (* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
53.0ms	(- (exp (* 2 (- 0.0 im))) (exp (+ im im)))
59.0ms	(- (exp (- 0.0 im)) (exp im))

simplify3.0s

Counts

284 → 284

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	452	9942
1	1087	7169
2	4768	5192
done	5000	5104

prune995.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
done	16	17

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.4s	2911×	body	1280	valid
1.2s	8455×	body	80	valid
1.2s	2443×	body	640	valid
581.0ms	1207×	body	320	valid
186.0ms	616×	body	160	valid