Details

sample152.0ms

Algorithm

intervals

Results

61.0ms	93×	body	1280	valid
28.0ms	75×	body	640	valid
22.0ms	277×	body	80	valid
8.0ms	31×	body	320	valid
5.0ms	18×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	93	11
4	470	11
5	4184	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

14.0ms	(+ (exp (- im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (exp (- im)) (exp im))
84.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	85	548
1	259	530
2	1668	443
done	5000	441

prune243.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

39.0ms	(* (exp im) (* 0.5 (cos re)))
17.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
13.0ms	(/ (cos re) (exp im))

series239.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (exp im) (* 0.5 (cos re)))
130.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
42.0ms	(/ (cos re) (exp im))

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	116	824
1	297	760
2	1229	683
done	5001	673

prune327.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-exp-log`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-neg` `associate-r/` `-commutative`
1×	`neg-sub0` `+-commutative` `sum-log` `flip3-+` `exp-diff` `un-div-inv` `flip-+` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

29.0ms	(* (exp im) (* 0.5 (cos re)))
69.0ms	(+ (* 0.5 (* (cos re) (exp (- im)))) (* (exp im) (* 0.5 (cos re))))
20.0ms	(* (cos re) (exp (- im)))

series243.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (exp im) (* 0.5 (cos re)))
139.0ms	(+ (* 0.5 (* (cos re) (exp (- im)))) (* (exp im) (* 0.5 (cos re))))
51.0ms	(* (cos re) (exp (- im)))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	114	752
1	312	710
2	1665	565
done	5000	542

prune336.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(/ (cos re) (exp im))
0.1b	(* (sqrt (exp im)) (* (* (sqrt (exp im)) 0.5) (cos re)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1` `add-cbrt-cube`
14×	`add-exp-log`
9×	`times-frac` `sqrt-prod`
8×	`sqrt-pow1`
6×	`exp-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-r` `*-commutative` `div-inv`

Counts

4 → 83

Calls

4 calls:

4.0ms	(sqrt (exp im))
4.0ms	(sqrt (exp im))
17.0ms	(/ (cos re) (exp im))
190.0ms	(* (sqrt (exp im)) (* (* (sqrt (exp im)) 0.5) (cos re)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp im))
14.0ms	(sqrt (exp im))
42.0ms	(/ (cos re) (exp im))
80.0ms	(* (sqrt (exp im)) (* (* (sqrt (exp im)) 0.5) (cos re)))

simplify893.0ms

Counts

95 → 95

Iterations

Useful iterations: done (889.0ms)

Iter	Nodes	Cost
0	121	912
1	279	747
2	1192	656
done	5001	644

prune497.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	14	15
done	14	15

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.2s	2945×	body	1280	valid
1.9s	8557×	body	80	valid
1.2s	2454×	body	640	valid
450.0ms	1209×	body	320	valid
207.0ms	614×	body	160	valid