Details

sample102.0ms

Algorithm

intervals

Results

41.0ms	99×	body	1280	valid
20.0ms	89×	body	640	valid
13.0ms	286×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	25×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune3.0ms

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)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
116.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
78.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

58.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
62.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series187.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
43.0ms	(* (* 0.5 (sin re)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune279.0ms

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)))
0.1b	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
3.1b	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-prod`
4×	`associate-r` `exp-sum`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `rem-exp-log`

Counts

4 → 63

Calls

4 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
116.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
26.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
30.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
77.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
72.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	321	671
1	1360	576
2	5001	575

prune178.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes165.0ms

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	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3021×	body	1280	valid
547.0ms	2427×	body	640	valid
419.0ms	8638×	body	80	valid
182.0ms	1253×	body	320	valid
77.0ms	663×	body	160	valid