Details

sample96.0ms

Algorithm

intervals

Results

42.0ms	99×	body	1280	valid
17.0ms	77×	body	640	valid
14.0ms	290×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	60	12
3	94	12
4	153	12
5	233	12
6	396	12
7	500	12
8	877	12
9	1975	12
10	2222	12
done	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
55.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
64.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify871.0ms

Counts

41 → 41

Iterations

Useful iterations: done (870.0ms)

Iter	Nodes	Cost
0	93	600
1	268	582
2	991	490
done	5001	487

prune95.0ms

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)))

rewrite77.0ms

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:

30.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
36.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
47.0ms	(* (exp im) (* 0.5 (sin re)))
53.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify571.0ms

Counts

60 → 60

Iterations

Useful iterations: done (569.0ms)

Iter	Nodes	Cost
0	113	882
1	321	758
2	1141	650
done	5001	641

prune142.0ms

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))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

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))

series272.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
49.0ms	(* (exp im) (* 0.5 (sin re)))
89.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

simplify523.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	132	1021
1	388	954
2	1538	777
done	5000	777

prune164.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

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
597.0ms	2566×	body	640	valid
417.0ms	8542×	body	80	valid
194.0ms	1263×	body	320	valid
60.0ms	594×	body	160	valid