Details

sample117.0ms

Algorithm

intervals

Results

51.0ms	102×	body	1280	valid
25.0ms	87×	body	640	valid
16.0ms	256×	body	80	valid
6.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid

simplify75.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

19.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
10.0ms	(+ (exp (- 0.0 im)) (exp im))

series93.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(+ (exp (- 0.0 im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (36.0ms)

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

prune141.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

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))

rewrite33.0ms

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:

13.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series169.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

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

prune158.0ms

Filtered

76 candidates to 55 candidates (72.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
0.0b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (exp im) 3)
5.6b	(- (exp im) (exp (- 0.0 im)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 197

Calls

4 calls:

27.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
7.0ms	(pow (exp (- 0.0 im)) 3)
3.0ms	(pow (exp im) 3)
12.0ms	(- (exp im) (exp (- 0.0 im)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))))
26.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
39.0ms	(- (exp im) (exp (- 0.0 im)))

simplify149.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	829	3811
1	3416	2401
2	5001	2391

prune420.0ms

Filtered

209 candidates to 96 candidates (45.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	209	3	212

Merged error: 0b

Counts

212 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

9.0ms

(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	222
1	827	182
2	5002	182

prune50.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Merged error: 0b

Counts

28 → 3

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	3070×	body	1280	valid
671.0ms	2463×	body	640	valid
510.0ms	8576×	body	80	valid
230.0ms	1252×	body	320	valid
75.0ms	612×	body	160	valid