Details

sample142.0ms

Algorithm

intervals

Results

57.0ms	92×	body	1280	valid
30.0ms	81×	body	640	valid
19.0ms	232×	body	80	valid
9.0ms	40×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.1s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite297.0ms

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:

90.0ms	(+ (exp (- 0.0 im)) (exp im))
204.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
115.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.1s

Counts

41 → 41

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	93	600
1	277	582
2	1548	494
done	5001	489

prune225.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

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:

105.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
35.0ms	(* (exp im) (* 0.5 (sin re)))
132.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
72.0ms	(* (exp im) (* 0.5 (sin re)))
74.0ms	(* (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

prune354.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

42.0ms	(+ (exp (- im)) (exp im))
111.0ms	(* (sin re) (+ (exp (- im)) (exp im)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (exp (- im)) (exp im))
95.0ms	(* (sin re) (+ (exp (- im)) (exp im)))

simplify1.0s

Counts

41 → 41

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	78	478
1	231	462
2	1367	405
done	5001	401

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (exp (- im)) (exp (- im)))
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
5.6b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in`
23×	`distribute-lft-neg-in`
15×	`pow-pow` `pow-prod-down`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`exp-neg` `add-cbrt-cube`
7×	`neg-sub0` `exp-diff`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `frac-times`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `prod-exp` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

61.0ms	(* (exp (- im)) (exp (- im)))
13.0ms	(pow (exp im) 3)
11.0ms	(pow (exp (- im)) 3)
22.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (exp (- im)) (exp (- im)))
44.0ms	(pow (exp im) 3)
28.0ms	(pow (exp (- im)) 3)
77.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify7.3s

Counts

158 → 158

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	187	1314
1	600	966
2	4665	788
done	5000	788

prune894.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes365.0ms

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	17
1	16	17
done	16	17

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.7s	2956×	body	1280	valid
1.3s	2487×	body	640	valid
1.2s	8681×	body	80	valid
1.1s	609×	body	160	valid
599.0ms	1200×	body	320	valid