Details

sample83.0ms

Algorithm

intervals

Results

32.0ms	83×	body	1280	valid
18.0ms	81×	body	640	valid
12.0ms	259×	body	80	valid
5.0ms	34×	body	320	valid
1.0ms	15×	body	160	valid

simplify70.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `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`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
17.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`fma-def`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `exp-sum`
9×	`prod-diff`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

11.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
54.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify109.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	224	338
1	868	300
2	4147	297
3	5001	295

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`fma-def`
22×	`add-sqr-sqrt` `add-cube-cbrt` `exp-sum`
18×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 117

Calls

4 calls:

13.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(+ (exp (- 0.0 im)) (exp im))
16.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
30.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
27.0ms	(+ (exp (- 0.0 im)) (exp im))
90.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
64.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	423	1155
1	1909	962
2	5001	951

prune545.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (* 0.5 (sin re))) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
0.0b	(pow (exp im) 3)
0.0b	(pow (exp (- 0.0 im)) 3)
4.6b	(- (exp im) (exp (- 0.0 im)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

87×	`prod-diff`
66×	`add-sqr-sqrt` `*-un-lft-identity`
62×	`add-cube-cbrt`
55×	`exp-sum`
17×	`unpow-prod-down` `cube-prod`
15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow-pow`
8×	`exp-prod`
6×	`pow1` `sub-neg` `pow-unpow` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `fma-neg` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp` `associate-/l/` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`cube-div` `flip3--` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

37.0ms	(/ (* (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (* 0.5 (sin re))) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
3.0ms	(pow (exp im) 3)
8.0ms	(pow (exp (- 0.0 im)) 3)
11.0ms	(- (exp im) (exp (- 0.0 im)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (* (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (* 0.5 (sin re))) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
23.0ms	(pow (exp im) 3)
30.0ms	(pow (exp (- 0.0 im)) 3)
34.0ms	(- (exp im) (exp (- 0.0 im)))

simplify135.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	918	3101
1	3952	1600
2	5001	1591

prune449.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	3016×	body	1280	valid
565.0ms	2474×	body	640	valid
429.0ms	8567×	body	80	valid
185.0ms	1201×	body	320	valid
62.0ms	609×	body	160	valid