Details

sample235.0ms

Algorithm

intervals

Results

134.0ms	157×	body	1280	valid
48.0ms	127×	body	640	valid
16.0ms	69×	body	320	valid
11.0ms	135×	body	80	valid
3.0ms	23×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	89	11
4	150	11
5	254	11
6	332	11
7	474	11
8	777	11
9	969	11
10	1005	11
11	1044	11
done	1044	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

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:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
28.0ms	(- (exp (- im)) (exp im))

series174.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
58.0ms	(- (exp (- im)) (exp im))

simplify4.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	145	1741
1	351	1397
2	1109	1099
3	4946	907
done	5000	907

prune227.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma im -2 (* (pow im 5) -1/60))
0.0b	(fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60)))
0.1b	(* (pow im 5) -1/60)
0.2b	(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`*-commutative` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp`

Counts

4 → 69

Calls

4 calls:

0.0ms	(fma im -2 (* (pow im 5) -1/60))
1.0ms	(fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60)))
13.0ms	(* (pow im 5) -1/60)
37.0ms	(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

series655.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma im -2 (* (pow im 5) -1/60))
94.0ms	(fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60)))
98.0ms	(* (pow im 5) -1/60)
259.0ms	(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1185
1	306	1142
2	1059	980
done	5000	976

prune379.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow im 5) (* (sin re) 0.008333333333333333) (* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0))))
0.1b	(* (pow im 3) 0.16666666666666666)
0.1b	(* (sin re) 0.008333333333333333)
0.1b	(* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`associate-l`
13×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`unswap-sqr`
5×	`prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `cbrt-unprod`
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-+` `fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma (pow im 5) (* (sin re) 0.008333333333333333) (* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0))))
13.0ms	(* (pow im 3) 0.16666666666666666)
10.0ms	(* (sin re) 0.008333333333333333)
36.0ms	(* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma (pow im 5) (* (sin re) 0.008333333333333333) (* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0))))
41.0ms	(* (pow im 3) 0.16666666666666666)
38.0ms	(* (sin re) 0.008333333333333333)
251.0ms	(* (sin re) (+ (* (pow im 3) 0.16666666666666666) (* im 1.0)))

simplify1.7s

Counts

99 → 99

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	1146
1	367	1054
2	1373	950
done	5001	926

prune589.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

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×	`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:

33.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series590.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
131.0ms	(cbrt (sin re))
146.0ms	(cbrt (sin re))
133.0ms	(cbrt (sin re))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	79	750
1	161	665
2	426	564
3	1317	541
done	5000	533

prune468.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes413.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.6s	4773×	body	1280	valid
3.0s	3709×	body	640	valid
680.0ms	1873×	body	320	valid
460.0ms	4502×	body	80	valid
286.0ms	922×	body	160	valid