Details

sample226.0ms

Algorithm

intervals

Results

106.0ms	91×	body	1280	valid
41.0ms	82×	body	640	valid
33.0ms	274×	body	80	valid
13.0ms	36×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	108	12
4	174	12
5	759	12
done	5000	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite221.0ms

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` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

218.0ms

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

series141.0ms

Counts

1 → 3

Calls

1 calls:

141.0ms

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

simplify909.0ms

Counts

26 → 26

Iterations

Useful iterations: done (908.0ms)

Iter	Nodes	Cost
0	79	424
1	243	414
2	1440	346
done	5001	342

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

112.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
54.0ms	(* (exp im) (* 0.5 (sin re)))
104.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
70.0ms	(* (exp im) (* 0.5 (sin re)))
79.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	882
1	319	758
2	1320	650
done	5001	637

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

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))

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt` `difference-of-squares`
6×	`associate-l` `prod-exp` `cbrt-unprod`
5×	`flip3--` `times-frac` `associate-/r*` `flip--` `distribute-lft-out--`
4×	`associate-*l/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down`
2×	`sub-neg` `diff-log` `exp-sum` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

211.0ms	(* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re)))
202.0ms	(/ (* (- (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)))
105.0ms	(- (exp (- 0.0 im)) (exp im))

series498.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re)))
215.0ms	(/ (* (- (exp (* 2 (- 0.0 im))) (exp (+ im im))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
74.0ms	(- (exp (* 2 (- 0.0 im))) (exp (+ im im)))
76.0ms	(- (exp (- 0.0 im)) (exp im))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	186	2141
1	511	2096
2	2425	1732
done	5000	1708

prune448.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes213.0ms

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 (1.0ms)

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

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.0s	2911×	body	1280	valid
1.8s	2443×	body	640	valid
1.1s	8455×	body	80	valid
495.0ms	1207×	body	320	valid
127.0ms	616×	body	160	valid