Details

sample99.0ms

Algorithm

intervals

Results

41.0ms	109×	body	1280	valid
22.0ms	94×	body	640	valid
13.0ms	261×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	21×	body	160	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	62	12
3	111	12
4	181	12
5	264	12
6	410	12
7	500	12
8	801	12
9	1637	12
10	2165	12
11	2336	12
12	2459	12
13	2487	12
done	2487	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite110.0ms

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:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
75.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.9s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	97	642
1	277	622
2	1010	528
3	4417	527
done	5001	527

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite86.0ms

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:

31.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
10.0ms	(* (exp im) (* 0.5 (sin re)))
43.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
52.0ms	(* (exp im) (* 0.5 (sin re)))
59.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify946.0ms

Counts

76 → 76

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	137	1113
1	375	945
2	1308	799
done	5001	782

prune223.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (exp (- 0.0 im)) (* 0.5 (sin re)) (* (exp im) (* 0.5 (sin re))))
10.0ms	(* (exp im) (* 0.5 (sin re)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma (exp (- 0.0 im)) (* 0.5 (sin re)) (* (exp im) (* 0.5 (sin re))))
51.0ms	(* (exp im) (* 0.5 (sin re)))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	84	492
1	205	480
2	603	362
3	1763	360
4	4973	356
done	5000	356

prune100.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

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	11	16
1	13	16
done	13	16

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	3020×	body	1280	valid
596.0ms	2502×	body	640	valid
441.0ms	8532×	body	80	valid
193.0ms	1231×	body	320	valid
68.0ms	642×	body	160	valid