Details

sample281.0ms

Algorithm

intervals

Results

141.0ms	110×	body	1280	valid
47.0ms	293×	body	80	valid
45.0ms	63×	body	640	valid
17.0ms	35×	body	320	valid
6.0ms	18×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2567
5	789
4	278
3	101
2	61
1	27
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite149.0ms

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:

40.0ms	(+ (exp (- 0 im)) (exp im))
109.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0 im)) (exp im))
75.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify1.9s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1254
1	289
0	95

prune237.0ms

Pruning

4 alts after pruning (3 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)) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))

rewrite46.0ms

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:

13.0ms	(* (sin re) (exp im))
23.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
9.0ms	(/ (sin re) (exp im))

series151.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (sin re) (exp im))
79.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
31.0ms	(/ (sin re) (exp im))

simplify1.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5099
3	2864
2	767
1	248
0	105

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
32.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (exp im))
127.0ms	(cbrt (exp im))
83.0ms	(cbrt (exp im))
104.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
4	3084
3	862
2	367
1	147
0	66

prune384.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (pow (exp im) 1/3)) (/ (sin re) (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`cbrt-prod` `add-log-exp`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

98.0ms	(+ (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (pow (exp im) 1/3)) (/ (sin re) (exp im)))
4.0ms	(cbrt (exp im))
4.0ms	(cbrt (exp im))
42.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (* (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (pow (exp im) 1/3)) (/ (sin re) (exp im)))
97.0ms	(cbrt (exp im))
117.0ms	(cbrt (exp im))
112.0ms	(* (sin re) (* (cbrt (exp im)) (cbrt (exp im))))

simplify2.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5131
3	3532
2	774
1	265
0	98

prune386.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample9.4s

Algorithm

intervals

Results

3.4s	3059×	body	1280	valid
2.8s	2422×	body	640	valid
1.4s	8614×	body	80	valid
722.0ms	1258×	body	320	valid
676.0ms	655×	body	160	valid