Details

sample97.0ms

Algorithm

intervals

Results

41.0ms	103×	body	1280	valid
19.0ms	81×	body	640	valid
13.0ms	262×	body	80	valid
6.0ms	40×	body	320	valid
2.0ms	16×	body	160	valid

simplify74.0ms

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

localize16.0ms

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)))

rewrite336.0ms

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:

56.0ms	(+ (exp (- 0.0 im)) (exp im))
278.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
62.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (37.0ms)

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

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

59.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
65.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
26.0ms	(* (* 0.5 (sin re)) (exp im))

series157.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
41.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
34.0ms	(* (* 0.5 (sin re)) (exp im))

simplify65.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499

prune317.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`exp-sum`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`sqrt-pow1`
11×	`pow1`
10×	`exp-prod`
9×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`sub-neg` `rem-sqrt-square` `pow1/2` `exp-diff` `sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

22.0ms	(sqrt (exp (- 0.0 im)))
20.0ms	(sqrt (exp (- 0.0 im)))
0.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))
21.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp (- 0.0 im)))
18.0ms	(sqrt (exp (- 0.0 im)))
57.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))
95.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	962
1	1202	729
2	5001	619

prune438.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.5b	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-r`
14×	`fma-def`
12×	`unpow-prod-down` `cube-prod`
11×	`exp-sum`
10×	`pow1` `add-exp-log`
9×	`prod-diff`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

55.0ms	(+ (exp (- 0.0 im)) (exp im))
80.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
235.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
71.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

series160.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (exp (- 0.0 im)) (exp im))
62.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)
57.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
21.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	422	928
1	1936	864
2	5002	851

prune494.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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	16	10
1	16	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	3059×	body	1280	valid
609.0ms	2516×	body	640	valid
450.0ms	8426×	body	80	valid
193.0ms	1213×	body	320	valid
66.0ms	577×	body	160	valid