Details

sample108.0ms

Algorithm

intervals

Results

50.0ms	121×	body	1280	valid
18.0ms	79×	body	640	valid
14.0ms	277×	body	80	valid
7.0ms	49×	body	320	valid
2.0ms	16×	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

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)))

rewrite75.0ms

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:

19.0ms	(+ (exp (- 0.0 im)) (exp im))
55.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(* (* 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

prune100.0ms

Filtered

41 candidates to 28 candidates (68.3%)

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))

rewrite64.0ms

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:

24.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
30.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series177.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))

simplify55.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (50.0ms)

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

prune155.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (exp im) 3)
0.2b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
8.5b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`add-exp-log`
10×	`pow-pow`
9×	`exp-diff`
8×	`unpow-prod-down` `exp-prod` `cube-prod` `associate-/r/`
6×	`pow1` `pow-unpow` `frac-add` `add-log-exp`
4×	`flip3--` `associate-*r/` `exp-sum` `flip--`
3×	`cbrt-undiv` `sub-neg` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-mult` `frac-times` `pow-to-exp` `flip3-+` `unpow3` `associate-*l/` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `distribute-rgt-out--` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

10.0ms	(pow (exp (- 0.0 im)) 3)
2.0ms	(pow (exp im) 3)
172.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
226.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
46.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify165.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	734	1631
1	4253	1357
2	5002	1335

prune416.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	2933×	body	1280	valid
567.0ms	2455×	body	640	valid
440.0ms	8610×	body	80	valid
202.0ms	1271×	body	320	valid
70.0ms	649×	body	160	valid