Details

sample95.0ms

Algorithm

intervals

Results

40.0ms	105×	body	1280	valid
18.0ms	83×	body	640	valid
13.0ms	288×	body	80	valid
7.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify68.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite101.0ms

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:

30.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 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

prune170.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

7.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
0.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))
11.0ms	(sqrt (exp (- 0.0 im)))
13.0ms	(sqrt (exp (- 0.0 im)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
65.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))
14.0ms	(sqrt (exp (- 0.0 im)))
14.0ms	(sqrt (exp (- 0.0 im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	333	960
1	1204	729
2	5001	619

prune280.0ms

Filtered

108 candidates to 73 candidates (67.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
12×	`pow1` `add-cbrt-cube`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`sub-neg` `exp-diff` `associate-*r/`

Counts

2 → 52

Calls

2 calls:

31.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series80.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
35.0ms	(* (* 0.5 (sin re)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	332	400
1	1389	313
2	5002	313

prune145.0ms

Filtered

58 candidates to 39 candidates (67.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.2b	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.2b	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

29.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0ms	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.0ms	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp (- 0.0 im)) (exp im))
61.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
109.0ms	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
105.0ms	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	322	639
1	1369	549
2	5001	547

prune266.0ms

Filtered

87 candidates to 67 candidates (77.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	11
1	14	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3039×	body	1280	valid
557.0ms	2497×	body	640	valid
425.0ms	8740×	body	80	valid
171.0ms	1146×	body	320	valid
65.0ms	622×	body	160	valid