Details

sample72.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
13.0ms	271×	body	80	valid
12.0ms	47×	body	640	valid
5.0ms	122×	body	80	overflowed
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify71.0ms

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: 0.0b

localize14.0ms

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)))

rewrite270.0ms

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:

99.0ms	(+ (exp (- 0.0 im)) (exp im))
168.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (34.0ms)

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

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite150.0ms

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:

58.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
64.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
26.0ms	(* (* 0.5 (sin re)) (exp im))

series158.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
33.0ms	(* (* 0.5 (sin re)) (exp im))

simplify64.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (57.0ms)

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

prune195.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
24.0ms	(* (* 0.5 (sin re)) (exp im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
34.0ms	(* (* 0.5 (sin re)) (exp im))

simplify107.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	213	285
1	831	235
2	4309	230
3	5002	229

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(cbrt (exp (- 0.0 im)))
0.0b	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

106×	`cbrt-prod`
81×	`exp-sum`
65×	`add-sqr-sqrt`
63×	`prod-diff`
57×	`add-cube-cbrt` `*-un-lft-identity`
19×	`swap-sqr`
17×	`associate-r` `associate-l`
11×	`pow1`
9×	`sub-neg` `pow1/3`
7×	`cbrt-div` `exp-diff`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

15.0ms	(cbrt (exp (- 0.0 im)))
15.0ms	(cbrt (exp (- 0.0 im)))
17.0ms	(cbrt (exp (- 0.0 im)))
62.0ms	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (exp (- 0.0 im)))
79.0ms	(cbrt (exp (- 0.0 im)))
79.0ms	(cbrt (exp (- 0.0 im)))
93.0ms	(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

simplify145.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	271	1703
1	860	1324
2	4358	966
3	5001	962

prune598.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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	13	9
1	13	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

764.0ms	1555×	body	1280	valid
437.0ms	8478×	body	80	valid
335.0ms	1304×	body	640	valid
155.0ms	3599×	body	80	overflowed
95.0ms	590×	body	320	valid
32.0ms	303×	body	160	valid