Details

sample137.0ms

Algorithm

intervals

Results

49.0ms	106×	body	1280	valid
32.0ms	98×	body	640	valid
26.0ms	288×	body	80	valid
10.0ms	48×	body	320	valid
3.0ms	22×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

74.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	238	265
1	1157	219
2	5002	218

prune60.0ms

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))

rewrite22.0ms

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×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 83

Calls

3 calls:

8.0ms	(* 0.5 (* re (pow im 2)))
6.0ms	(* 0.16666666666666666 (pow re 3))
6.0ms	(* re (pow im 2))

series101.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 0.5 (* re (pow im 2)))
34.0ms	(* 0.16666666666666666 (pow re 3))
32.0ms	(* re (pow im 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	277	335
1	1165	289
2	5002	287

prune194.0ms

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))

rewrite52.0ms

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×	`expm1-log1p-u` `pow-to-exp` `cube-prod` `pow-prod-down` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`unpow2`
1×	`cube-mult` `unpow3`

Counts

4 → 113

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (pow re 3))
9.0ms	(* (sqrt 0.5) (* re (pow im 2)))
27.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* re (pow im 2))))
6.0ms	(* re (pow im 2))

series235.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 0.16666666666666666 (pow re 3))
67.0ms	(* (sqrt 0.5) (* re (pow im 2)))
99.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* re (pow im 2))))
29.0ms	(* re (pow im 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	358	568
1	1606	476
2	5001	474

prune293.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

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))))

rewrite30.0ms

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` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `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 → 62

Calls

4 calls:

6.0ms	(* re (pow im 2))
9.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
7.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
7.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* re (pow im 2))
166.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
167.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))
162.0ms	(cbrt (* (sqrt 0.5) (* re (pow im 2))))

simplify105.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	194	435
1	650	387
2	3103	372
3	5002	349

prune254.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes128.0ms

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

sample3.8s

Algorithm

intervals

Results

1.5s	3108×	body	1280	valid
833.0ms	8775×	body	80	valid
755.0ms	2472×	body	640	valid
261.0ms	1172×	body	320	valid
95.0ms	580×	body	160	valid