Details

sample224.0ms

Algorithm

intervals

Results

71.0ms	100×	body	1280	valid
32.0ms	71×	body	640	valid
30.0ms	297×	body	80	valid
14.0ms	48×	body	320	valid
6.0ms	30×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	760
4	175
3	108
2	61
1	26
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite190.0ms

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:

61.0ms	(+ (exp (- 0.0 im)) (exp im))
127.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp (- 0.0 im)) (exp im))
120.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.3s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1569
1	279
0	93

prune233.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

48.0ms	(+ (exp (- 0.0 im)) (exp im))
170.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0.0 im)) (exp im))
76.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify1.1s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1007
1	235
0	81

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))
0.3b	(* (exp im) (sin re))

rewrite64.0ms

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`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

30.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
12.0ms	(/ (sin re) (exp im))
21.0ms	(* (exp im) (sin re))

series257.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
60.0ms	(/ (sin re) (exp im))
49.0ms	(* (exp im) (sin re))

simplify1.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1102
1	253
0	104

prune407.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (exp im) (sin re))
0.3b	(cbrt (exp im))
0.3b	(cbrt (exp im))
0.3b	(cbrt (exp im))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 51

Calls

4 calls:

22.0ms	(* (exp im) (sin re))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))

series407.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (exp im) (sin re))
126.0ms	(cbrt (exp im))
115.0ms	(cbrt (exp im))
123.0ms	(cbrt (exp im))

simplify3.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
3	3066
2	397
1	117
0	57

prune368.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes213.0ms

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	14
1	14
0	11

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.3s	2890×	body	1280	valid
2.1s	2496×	body	640	valid
1.5s	8553×	body	80	valid
365.0ms	1231×	body	320	valid
118.0ms	601×	body	160	valid