Details

sample233.0ms

Algorithm

intervals

Results

105.0ms	92×	body	1280	valid
50.0ms	99×	body	640	valid
33.0ms	291×	body	80	valid
14.0ms	42×	body	320	valid
4.0ms	17×	body	160	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite261.0ms

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:

61.0ms	(+ (exp (- 0.0 im)) (exp im))
198.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (exp (- 0.0 im)) (exp im))
109.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.8s

Counts

59 → 59

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	97	642
1	272	622
2	1084	528
3	4758	527
done	5000	527

prune307.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
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-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

92.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
83.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
49.0ms	(* (* 0.5 (sin re)) (exp im))

series267.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
113.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
68.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.8s

Counts

76 → 76

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	161	1115
1	417	943
2	1507	807
done	5000	788

prune335.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `associate-/l`

Counts

3 → 65

Calls

3 calls:

43.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
88.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))

series429.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
223.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
60.0ms	(* (* 0.5 (sin re)) (exp im))

simplify2.2s

Counts

74 → 74

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	133	1097
1	396	959
2	1856	834
done	5001	814

prune359.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp im) (sin re) (/ (sin re) (exp (- im 0.0))))
0.0b	(/ (sin re) (exp (- im 0.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`exp-sum`
42×	`times-frac`
36×	`prod-diff`
14×	`associate-/r*`
4×	`sub-neg` `add-cbrt-cube`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `exp-diff` `div-exp` `clear-num` `associate-/r/` `fma-udef` `div-inv`

Counts

2 → 84

Calls

2 calls:

1.0ms	(fma (exp im) (sin re) (/ (sin re) (exp (- im 0.0))))
65.0ms	(/ (sin re) (exp (- im 0.0)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(fma (exp im) (sin re) (/ (sin re) (exp (- im 0.0))))
43.0ms	(/ (sin re) (exp (- im 0.0)))

simplify2.2s

Counts

90 → 90

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	174	1728
1	311	1430
2	615	1211
3	1503	1132
done	5000	951

prune219.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.5s	2971×	body	1280	valid
1.9s	2460×	body	640	valid
1.6s	8550×	body	80	valid
412.0ms	1237×	body	320	valid
114.0ms	592×	body	160	valid