Details

sample113.0ms

Algorithm

intervals

Results

48.0ms	104×	body	1280	valid
22.0ms	70×	body	640	valid
18.0ms	254×	body	80	valid
7.0ms	36×	body	320	valid
4.0ms	28×	body	160	valid

simplify73.0ms

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

localize15.0ms

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)))

rewrite110.0ms

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:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
76.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
74.0ms	(* (* 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

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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

rewrite70.0ms

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:

26.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))
33.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))
45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (56.0ms)

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

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.3b	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite110.0ms

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×	`expm1-log1p-u`
4×	`associate-r` `log1p-expm1-u`
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:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
74.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0ms	(expm1 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.0ms	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
64.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
125.0ms	(expm1 (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
111.0ms	(log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	349	652
1	1419	556
2	5002	546

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
0.7b	(cbrt (* (* 0.5 (sin re)) (exp im)))
0.7b	(cbrt (* (* 0.5 (sin re)) (exp im)))
0.7b	(cbrt (* (* 0.5 (sin re)) (exp im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
7.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))
7.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))
7.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
97.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))
98.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))
97.0ms	(cbrt (* (* 0.5 (sin re)) (exp im)))

simplify116.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	200	682
1	758	598
2	3562	546
3	5002	534

prune241.0ms

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

sample3.5s

Algorithm

intervals

Results

1.5s	2960×	body	1280	valid
755.0ms	2449×	body	640	valid
631.0ms	8485×	body	80	valid
266.0ms	1222×	body	320	valid
91.0ms	633×	body	160	valid