Details

sample137.0ms

Algorithm

intervals

Results

57.0ms	119×	body	1280	valid
27.0ms	88×	body	640	valid
23.0ms	259×	body	80	valid
8.0ms	40×	body	320	valid
2.0ms	17×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

46.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify1.2s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1485
1	224
0	71

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

21.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
11.0ms	(/ (cos re) (exp im))
10.0ms	(* (cos re) (exp im))

series172.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
43.0ms	(/ (cos re) (exp im))
32.0ms	(* (cos re) (exp im))

simplify927.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	957
1	235
0	98

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp im)) (cbrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

21.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series413.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
95.0ms	(cbrt (exp im))
100.0ms	(cbrt (exp im))
103.0ms	(cbrt (exp im))

simplify4.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
3	3600
2	533
1	134
0	60

prune459.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.2s	2975×	body	1280	valid
1.0s	2562×	body	640	valid
866.0ms	8447×	body	80	valid
764.0ms	1215×	body	320	valid
98.0ms	653×	body	160	valid