Details

sample221.0ms

Algorithm

intervals

Results

102.0ms	108×	body	1280	valid
41.0ms	88×	body	640	valid
29.0ms	267×	body	80	valid
12.0ms	37×	body	320	valid
6.0ms	27×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite217.0ms

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:

58.0ms	(+ (exp (- 0.0 im)) (exp im))
156.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
99.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.7s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	93	600
1	263	582
2	1038	490
3	4500	487
done	5000	487

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)))

rewrite176.0ms

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:

77.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
27.0ms	(* (* 0.5 (sin re)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
57.0ms	(* (* 0.5 (sin re)) (exp im))
59.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1286	646
done	5000	637

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

26.0ms	(+ (* (/ (sin re) (exp im)) 0.5) (* (* 0.5 (sin re)) (exp im)))
18.0ms	(/ (sin re) (exp im))
26.0ms	(* (* 0.5 (sin re)) (exp im))

series273.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (* (/ (sin re) (exp im)) 0.5) (* (* 0.5 (sin re)) (exp im)))
54.0ms	(/ (sin re) (exp im))
61.0ms	(* (* 0.5 (sin re)) (exp im))

simplify4.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	123	838
1	311	770
2	1119	690
3	4611	684
done	5001	684

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

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	(* (cbrt (exp im)) (cbrt (exp im)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
34.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (exp im))
101.0ms	(cbrt (exp im))
101.0ms	(cbrt (exp im))
166.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	60	678
1	111	613
2	249	569
3	500	515
4	1279	473
done	5000	454

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	14	15
done	14	15

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.6s	2948×	body	1280	valid
1.8s	2491×	body	640	valid
1.6s	8507×	body	80	valid
455.0ms	1184×	body	320	valid
123.0ms	591×	body	160	valid