Details

sample91.0ms

Algorithm

intervals

Results

37.0ms	94×	body	1280	valid
18.0ms	80×	body	640	valid
13.0ms	277×	body	80	valid
6.0ms	42×	body	320	valid
2.0ms	17×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite23.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
16.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
65.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

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

prune95.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

6.0ms	(* (* 0.5 (sin re)) (exp im))
10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* 0.5 (sin re)) (exp im))
90.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5001	395

prune144.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

6.0ms	(* (* 0.5 (sin re)) (exp im))
10.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))

series263.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (* 0.5 (sin re)) (exp im))
137.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
90.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	385	578
1	2136	482
2	5001	479

prune147.0ms

Filtered

61 candidates to 44 candidates (72.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 2) (- 0.0 im))
0.0b	(pow (exp im) 3)
0.0b	(pow (exp (- 0.0 im)) 3)
5.1b	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`unpow-prod-down` `pow-pow`
11×	`pow-unpow` `exp-prod`
8×	`cube-prod`
7×	`pow1`
6×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`add-exp-log` `sub-neg` `exp-sum` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `distribute-lft-out--`
2×	`unpow-prod-up` `cube-mult` `exp-diff` `unpow3` `exp-lft-sqr` `pow-sub` `rem-cube-cbrt`
1×	`cube-div` `associate-+l-` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 103

Calls

4 calls:

5.0ms	(pow (exp 2) (- 0.0 im))
3.0ms	(pow (exp im) 3)
6.0ms	(pow (exp (- 0.0 im)) 3)
12.0ms	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp 2) (- 0.0 im))
23.0ms	(pow (exp im) 3)
26.0ms	(pow (exp (- 0.0 im)) 3)
62.0ms	(- (pow (exp 2) (- 0.0 im)) (exp (+ (- 0.0 im) im)))

simplify60.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	403	583
1	1661	539
2	5003	524

prune422.0ms

Filtered

115 candidates to 71 candidates (61.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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	16	11
1	16	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3042×	body	1280	valid
596.0ms	2508×	body	640	valid
414.0ms	8341×	body	80	valid
195.0ms	1242×	body	320	valid
64.0ms	613×	body	160	valid