Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	98×	body	1280	valid
16.0ms	77×	body	640	valid
13.0ms	281×	body	80	valid
9.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid

simplify71.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7
done	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite162.0ms

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:

42.0ms	(+ (exp (- 0.0 im)) (exp im))
119.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294
done	5002	294

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

60.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
27.0ms	(* (* 0.5 (sin re)) (exp im))
64.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
41.0ms	(* (* 0.5 (sin re)) (exp im))
45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify53.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5001	395
done	5001	395

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
62.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
207.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
70.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

series175.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
29.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
69.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
55.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

simplify59.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	407	877
1	1893	818
2	5001	807
done	5001	807

prune267.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
0.4b	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))))
0.5b	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite965.0ms

Algorithm

rewrite-expression-head

Rules

39×	`sqrt-prod`
33×	`*-un-lft-identity`
32×	`cbrt-prod`
27×	`add-sqr-sqrt` `associate-r`
19×	`add-cube-cbrt`
17×	`pow1`
16×	`add-exp-log` `sqrt-div` `associate-*r/` `add-cbrt-cube`
13×	`unpow-prod-down` `cube-prod`
10×	`cube-div`
9×	`flip3-+` `flip-+`
8×	`cbrt-div`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
5×	`rem-sqrt-square`
4×	`frac-times` `associate-l` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`sqrt-pow1` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow1/2` `pow1/3` `pow-exp` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

124.0ms	(sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
69.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
631.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))))
136.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
50.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
75.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))))
83.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify81.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	612	1706
1	2754	1447
2	5001	1400
done	5001	1400

prune392.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10
done	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2991×	body	1280	valid
546.0ms	2451×	body	640	valid
403.0ms	8605×	body	80	valid
175.0ms	1230×	body	320	valid
64.0ms	570×	body	160	valid