Details

sample304.0ms

Algorithm

intervals

Results

119.0ms	102×	body	1280	valid
94.0ms	84×	body	640	valid
45.0ms	276×	body	80	valid
18.0ms	35×	body	320	valid
4.0ms	12×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2018
7	2018
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite162.0ms

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:

34.0ms	(+ (exp (- 0 im)) (exp im))
128.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp (- 0 im)) (exp im))
86.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	2002
3	2002
2	1225
1	289
0	95

prune409.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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`
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 → 59

Calls

3 calls:

29.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
12.0ms	(* (exp im) (sin re))
11.0ms	(/ (sin re) (exp im))

series201.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
53.0ms	(* (exp im) (sin re))
31.0ms	(/ (sin re) (exp im))

simplify983.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2003
3	2003
2	865
1	256
0	107

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(* (/ 1 (sqrt (exp im))) (/ (sin re) (sqrt (exp im))))
0.0b	(/ (sin re) (sqrt (exp im)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
76×	`times-frac`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
47×	`sqrt-prod`
28×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`pow1` `sqrt-pow1` `prod-exp`
6×	`exp-prod` `associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `pow1/2` `1-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 158

Calls

4 calls:

4.0ms	(sqrt (exp im))
5.0ms	(sqrt (exp im))
33.0ms	(* (/ 1 (sqrt (exp im))) (/ (sin re) (sqrt (exp im))))
9.0ms	(/ (sin re) (sqrt (exp im)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
21.0ms	(sqrt (exp im))
59.0ms	(* (/ 1 (sqrt (exp im))) (/ (sin re) (sqrt (exp im))))
53.0ms	(/ (sin re) (sqrt (exp im)))

simplify1.1s

Counts

170 → 170

Iterations

Iter	Nodes
done	2001
3	2001
2	1392
1	497
0	186

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes200.0ms

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	15
1	15
0	11

end0.0ms

sample8.9s

Algorithm

intervals

Results

4.3s	2991×	body	1280	valid
1.9s	2482×	body	640	valid
1.6s	8482×	body	80	valid
573.0ms	1198×	body	320	valid
170.0ms	578×	body	160	valid