Details

sample133.0ms

Algorithm

intervals

Results

77.0ms	188×	body	1280	valid
25.0ms	111×	body	640	valid
6.0ms	42×	body	320	valid
6.0ms	137×	body	80	valid
2.0ms	17×	body	160	valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	104	7
3	213	7
4	364	7
5	850	7
6	1415	7
7	1968	7
8	4985	7
9	5001	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.3b	(- (exp (- 0.0 im)) (exp im))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
119×	`add-sqr-sqrt` `*-un-lft-identity`
115×	`add-cube-cbrt`
110×	`exp-sum`
44×	`distribute-rgt-in` `distribute-lft-in`
14×	`fma-neg`
13×	`sub-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`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--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 184

Calls

2 calls:

154.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
77.0ms	(- (exp (- 0.0 im)) (exp im))

series117.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
36.0ms	(- (exp (- 0.0 im)) (exp im))

simplify73.0ms

Counts

190 → 190

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	714	4198
1	2514	2591
2	5003	2251
done	5003	2251

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
12×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `pow-exp` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 97

Calls

2 calls:

53.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
13.0ms	(* 1/3 (pow im 3))

series205.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
37.0ms	(* 1/3 (pow im 3))

simplify72.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	557	1815
1	2384	1200
2	5003	1165
done	5003	1165

prune211.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos re) (pow im 5))
0.1b	(* 0.16666666666666666 (* (cos re) (pow im 3)))
0.1b	(* (cos re) im)
0.1b	(* (cos re) (pow im 3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 101

Calls

4 calls:

13.0ms	(* (cos re) (pow im 5))
23.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
9.0ms	(* (cos re) im)
17.0ms	(* (cos re) (pow im 3))

series339.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cos re) (pow im 5))
92.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
40.0ms	(* (cos re) im)
81.0ms	(* (cos re) (pow im 3))

simplify49.0ms

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	343	536
1	1477	470
2	5001	470
done	5001	470

prune351.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))

series449.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
97.0ms	(cbrt (cos re))
96.0ms	(cbrt (cos re))
95.0ms	(cbrt (cos re))

simplify104.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381
done	5002	381

prune351.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13
done	35	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	5728×	body	1280	valid
814.0ms	3579×	body	640	valid
208.0ms	1426×	body	320	valid
184.0ms	4343×	body	80	valid
65.0ms	666×	body	160	valid