Details

sample253.0ms

Algorithm

intervals

Results

138.0ms	149×	body	1280	valid
53.0ms	136×	body	640	valid
15.0ms	56×	body	320	valid
13.0ms	160×	body	80	valid
5.0ms	28×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	90	11
4	280	11
5	1590	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.8b	(- (exp (- im)) (exp im))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

100.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
52.0ms	(- (exp (- im)) (exp im))

series205.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
72.0ms	(- (exp (- im)) (exp im))

simplify3.2s

Counts

80 → 80

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	145	1741
1	415	1406
2	2829	1107
done	5001	946

prune264.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-neg-in` `fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `neg-mul-1` `distribute-lft-in` `associate-l` `*-commutative` `distribute-rgt-neg-out` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

53.0ms

(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series257.0ms

Counts

1 → 3

Calls

1 calls:

257.0ms

(* (* 0.5 (sin re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify1.0s

Counts

33 → 33

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	88	768
1	257	748
2	1369	638
done	5000	634

prune187.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (pow im 3))))
0.1b	(* 0.008333333333333333 (sin re))
0.1b	(* 0.16666666666666666 (pow im 3))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`associate-r`
12×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l` `add-cbrt-cube`
7×	`pow1`
6×	`unswap-sqr`
5×	`prod-exp`
4×	`unpow-prod-down` `cube-prod`
3×	`expm1-log1p-u` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `sqr-pow`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `distribute-lft-in` `flip3-+` `unpow3` `pow-exp` `flip-+`

Counts

3 → 77

Calls

3 calls:

44.0ms	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (pow im 3))))
10.0ms	(* 0.008333333333333333 (sin re))
27.0ms	(* 0.16666666666666666 (pow im 3))

series324.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (pow im 3))))
37.0ms	(* 0.008333333333333333 (sin re))
51.0ms	(* 0.16666666666666666 (pow im 3))

simplify1.5s

Counts

86 → 86

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	142	853
1	391	776
2	1918	698
done	5000	696

prune496.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite45.0ms

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:

31.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))

series637.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
153.0ms	(cbrt (sin re))
133.0ms	(cbrt (sin re))
181.0ms	(cbrt (sin re))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	79	750
1	182	665
2	716	564
done	5000	549

prune574.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	21
1	22	21
done	22	21

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.7s	4662×	body	1280	valid
2.7s	3825×	body	640	valid
818.0ms	1809×	body	320	valid
508.0ms	4313×	body	80	valid
187.0ms	977×	body	160	valid