Details

sample212.0ms

Algorithm

intervals

Results

72.0ms	85×	body	1280	valid
39.0ms	289×	body	80	valid
39.0ms	73×	body	640	valid
12.0ms	34×	body	320	valid
4.0ms	16×	body	160	valid

simplify8.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3423
6	1200
5	471
4	194
3	102
2	61
1	26
0	11

prune10.0ms

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)))

rewrite376.0ms

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-+` `insert-posit16` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

97.0ms	(+ (exp (- 0.0 im)) (exp im))
277.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (exp (- 0.0 im)) (exp im))
144.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1090
1	283
0	95

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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` `insert-posit16` `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 → 60

Calls

3 calls:

39.0ms	(* (sin re) (exp im))
15.0ms	(/ (sin re) (exp im))
45.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))

series687.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (sin re) (exp im))
75.0ms	(/ (sin re) (exp im))
540.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))

simplify4.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5088
3	2549
2	723
1	246
0	104

prune698.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`associate-r` `add-exp-log`
11×	`pow1`
9×	`times-frac`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 85

Calls

4 calls:

82.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
22.0ms	(/ (sin re) (exp im))
61.0ms	(+ (/ (sin re) (exp im)) (* (* (sin re) (sqrt (exp im))) (sqrt (exp im))))
30.0ms	(* (sin re) (sqrt (exp im)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
101.0ms	(/ (sin re) (exp im))
149.0ms	(+ (/ (sin re) (exp im)) (* (* (sin re) (sqrt (exp im))) (sqrt (exp im))))
73.0ms	(* (sin re) (sqrt (exp im)))

simplify3.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1295
1	342
0	137

prune918.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes844.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.6s	3095×	body	1280	valid
1.3s	8610×	body	80	valid
1.3s	2452×	body	640	valid
807.0ms	1252×	body	320	valid
190.0ms	589×	body	160	valid