Details

sample154.0ms

Algorithm

intervals

Results

53.0ms	108×	body	1280	valid
49.0ms	88×	body	640	valid
18.0ms	267×	body	80	valid
7.0ms	37×	body	320	valid
4.0ms	27×	body	160	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite699.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

80.0ms	(+ (exp (- 0.0 im)) (exp im))
615.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (exp (- 0.0 im)) (exp im))
118.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.8s

Counts

59 → 59

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	97	642
1	272	622
2	1084	528
3	4758	527
done	5000	527

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

97.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
55.0ms	(* (* 0.5 (sin re)) (exp im))
114.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
74.0ms	(* (* 0.5 (sin re)) (exp im))
61.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify2.1s

Counts

76 → 76

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	161	1115
1	417	943
2	1505	807
done	5001	788

prune280.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 63

Calls

3 calls:

42.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
21.0ms	(/ (sin re) (exp im))
41.0ms	(* (* 0.5 (sin re)) (exp im))

series213.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
32.0ms	(/ (sin re) (exp im))
56.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	128	898
1	326	823
2	1197	729
done	5001	725

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

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)))

rewrite48.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
4.0ms	(cbrt (exp im))
38.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (exp im))
128.0ms	(cbrt (exp im))
116.0ms	(cbrt (exp im))
160.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	64	718
1	119	645
2	267	601
3	538	553
4	1329	499
done	5001	480

prune415.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes185.0ms

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

sample7.3s

Algorithm

intervals

Results

3.6s	2948×	body	1280	valid
1.6s	2491×	body	640	valid
910.0ms	8507×	body	80	valid
404.0ms	1184×	body	320	valid
167.0ms	591×	body	160	valid