Details

sample134.0ms

Algorithm

intervals

Results

48.0ms	106×	body	1280	valid
29.0ms	288×	body	80	valid
28.0ms	98×	body	640	valid
10.0ms	48×	body	320	valid
3.0ms	22×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

93.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	234	248
1	1124	203
2	5001	203

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* re (pow im 2)))
0.1b	(* 0.16666666666666666 (pow re 3))
7.3b	(* re (pow im 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
5×	`pow1` `cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 77

Calls

3 calls:

7.0ms	(* 0.5 (* re (pow im 2)))
6.0ms	(* 0.16666666666666666 (pow re 3))
5.0ms	(* re (pow im 2))

series96.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 0.5 (* re (pow im 2)))
34.0ms	(* 0.16666666666666666 (pow re 3))
32.0ms	(* re (pow im 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	315
1	1155	269
2	5001	267

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (pow re 3))
0.2b	(* (sqrt 0.5) (* re (pow im 2)))
0.2b	(* (sqrt 0.5) (* (sqrt 0.5) (* re (pow im 2))))
7.3b	(* re (pow im 2))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-sqr-sqrt`
25×	`prod-exp`
22×	`associate-r` `add-cbrt-cube`
18×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `cbrt-unprod`
8×	`unpow-prod-down` `unswap-sqr`
6×	`sqrt-prod`
4×	`pow-to-exp` `cube-prod` `pow-prod-down` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`unpow2`
1×	`cube-mult` `unpow3`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (pow re 3))
9.0ms	(* (sqrt 0.5) (* re (pow im 2)))
23.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* re (pow im 2))))
5.0ms	(* re (pow im 2))

series227.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 0.16666666666666666 (pow re 3))
65.0ms	(* (sqrt 0.5) (* re (pow im 2)))
97.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* re (pow im 2))))
31.0ms	(* re (pow im 2))

simplify54.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	350	532
1	1594	440
2	5001	438

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

7.3b	(* re (pow im 2))
27.6b	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
27.6b	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
27.6b	(cbrt (* (sqrt 0.5) (* re (pow im 2))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`add-exp-log`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3` `associate-l` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 54

Calls

4 calls:

5.0ms	(* re (pow im 2))
6.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
6.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
6.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* re (pow im 2))
177.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
158.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
158.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))

simplify98.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	188	396
1	637	348
2	3034	330
3	5001	307

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.4s	3108×	body	1280	valid
926.0ms	8775×	body	80	valid
704.0ms	2472×	body	640	valid
240.0ms	1172×	body	320	valid
83.0ms	580×	body	160	valid