Details

sample95.0ms

Algorithm

intervals

Results

41.0ms	99×	body	1280	valid
18.0ms	77×	body	640	valid
14.0ms	290×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify4.6s

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	269	12
6	433	12
7	551	12
8	942	12
9	1514	12
10	2536	12
done	5001	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)))

rewrite107.0ms

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:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
74.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.1s

Counts

59 → 59

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	97	642
1	277	622
2	1036	528
done	5000	527

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite83.0ms

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:

30.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
42.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
45.0ms	(* (exp im) (* 0.5 (sin re)))
55.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify572.0ms

Counts

76 → 76

Iterations

Useful iterations: done (570.0ms)

Iter	Nodes	Cost
0	137	1113
1	374	945
2	1376	799
done	5000	790

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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-l` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r` `clear-num` `sum-log` `-commutative` `flip-+` `associate-/l`

Counts

3 → 65

Calls

3 calls:

15.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
11.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

series267.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
49.0ms	(* (exp im) (* 0.5 (sin re)))
87.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

simplify549.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	138	1097
1	406	1025
2	1624	843
done	5000	843

prune208.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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	12	18
1	16	18
done	16	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3006×	body	1280	valid
606.0ms	2566×	body	640	valid
421.0ms	8542×	body	80	valid
198.0ms	1263×	body	320	valid
65.0ms	594×	body	160	valid