Details

sample1.8s

Algorithm

intervals

Results

1.6s	98×	body	1280	valid
88.0ms	106×	body	640	valid
49.0ms	256×	body	80	valid
22.0ms	54×	body	320	valid
6.0ms	27×	body	160	valid

simplify24.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2924
6	1128
5	468
4	199
3	103
2	61
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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)))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

196.0ms	(+ (exp (- 0.0 im)) (exp im))
275.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series253.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(+ (exp (- 0.0 im)) (exp im))
159.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify6.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1070
1	277
0	93

prune697.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize110.0ms

Local error

Found 3 expressions with local error:

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

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

80.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
187.0ms	(/ (sin re) (exp im))
49.0ms	(* (sin re) (exp im))

series540.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
266.0ms	(/ (sin re) (exp im))
118.0ms	(* (sin re) (exp im))

simplify7.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5022
3	2377
2	711
1	247
0	103

prune926.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize195.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
0.3b	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
3.6b	(- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))
16.8b	(/ (+ (* (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (/ (sin re) (exp im))) (* (* (sin re) (exp im)) (* (* (sin re) (exp im)) (* (sin re) (exp im))))) (+ (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))))

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube`
22×	`add-exp-log`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`associate-/r/` `pow-sqr` `pow-prod-up`
6×	`frac-add` `add-log-exp`
4×	`flip3--` `pow-plus` `cube-unmult` `pow3` `sum-cubes` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `frac-times` `flip3-+` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-l/` `*-commutative` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 122

Calls

4 calls:

284.0ms	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
227.0ms	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
204.0ms	(- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))
2.6s	(/ (+ (* (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (/ (sin re) (exp im))) (* (* (sin re) (exp im)) (* (* (sin re) (exp im)) (* (sin re) (exp im))))) (+ (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))))

series1.7s

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
86.0ms	(* (* (sin re) (exp im)) (* (sin re) (exp im)))
235.0ms	(- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))
1.2s	(/ (+ (* (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (/ (sin re) (exp im))) (* (* (sin re) (exp im)) (* (* (sin re) (exp im)) (* (sin re) (exp im))))) (+ (* (/ (sin re) (exp im)) (/ (sin re) (exp im))) (- (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (/ (sin re) (exp im)) (* (sin re) (exp im))))))

simplify10.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	2427
1	556
0	197

prune2.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes810.0ms

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	12
1	12
0	9

end2.0ms

sample40.1s

Algorithm

intervals

Results

16.8s	2961×	body	1280	valid
11.3s	2490×	body	640	valid
6.1s	8532×	body	80	valid
3.3s	1194×	body	320	valid
1.7s	603×	body	160	valid