Details

sample273.0ms

Algorithm

intervals

Results

121.0ms	110×	body	1280	valid
46.0ms	63×	body	640	valid
46.0ms	293×	body	80	valid
36.0ms	35×	body	320	valid
6.0ms	18×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
7	3806
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune7.0ms

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)))

rewrite115.0ms

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:

35.0ms	(+ (exp (- 0 im)) (exp im))
79.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0 im)) (exp im))
86.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify1.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5009
2	1225
1	289
0	95

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

33.0ms	(* (exp im) (* (sin re) 0.5))
15.0ms	(/ (* (sin re) 0.5) (exp im))
27.0ms	(+ (/ (* (sin re) 0.5) (exp im)) (* (exp im) (* (sin re) 0.5)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (exp im) (* (sin re) 0.5))
51.0ms	(/ (* (sin re) 0.5) (exp im))
116.0ms	(+ (/ (* (sin re) 0.5) (exp im)) (* (exp im) (* (sin re) 0.5)))

simplify1.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1124
1	311
0	112

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (sin re) 0.5) (exp im)) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* (sin re) 0.5))))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 48

Calls

4 calls:

48.0ms	(+ (/ (* (sin re) 0.5) (exp im)) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* (sin re) 0.5))))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series498.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (/ (* (sin re) 0.5) (exp im)) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* (sin re) 0.5))))
139.0ms	(cbrt (exp im))
137.0ms	(cbrt (exp im))
109.0ms	(cbrt (exp im))

simplify2.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5003
3	3242
2	696
1	180
0	69

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.1b	(cbrt (sqrt (exp im)))
0.1b	(cbrt (sqrt (exp im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
4.0ms	(cbrt (sqrt (exp im)))
5.0ms	(cbrt (sqrt (exp im)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (exp im))
128.0ms	(cbrt (exp im))
106.0ms	(cbrt (sqrt (exp im)))
124.0ms	(cbrt (sqrt (exp im)))

simplify2.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5011
6	2018
5	703
4	305
3	190
2	116
1	73
0	48

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes239.0ms

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

sample9.4s

Algorithm

intervals

Results

4.0s	3059×	body	1280	valid
2.3s	2422×	body	640	valid
1.8s	8614×	body	80	valid
626.0ms	1258×	body	320	valid
245.0ms	655×	body	160	valid