Details

sample85.0ms

Algorithm

intervals

Results

36.0ms	99×	body	1280	valid
16.0ms	77×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	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 (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite37.0ms

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:

9.0ms	(+ (exp (- im)) (exp im))
27.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
64.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune103.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

4.0ms	(/ (* 0.5 (cos re)) (exp im))
9.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 0.5 (cos re)) (exp im))

series156.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* 0.5 (cos re)) (exp im))
82.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(* (* 0.5 (cos re)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.5 (cos re)) (exp im))
0.0b	(* (* 0.5 (cos re)) (sqrt (exp im)))
0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
0.0b	(* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

4.0ms	(/ (* 0.5 (cos re)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (sqrt (exp im)))
11.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
39.0ms	(* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* 0.5 (cos re)) (exp im))
50.0ms	(* (* 0.5 (cos re)) (sqrt (exp im)))
85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
36.0ms	(* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

simplify69.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	381	777
1	2272	629
2	5001	617

prune224.0ms

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	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.3b	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)
0.5b	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ (exp (- im)) (exp im))
27.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
18.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)
3.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))

series237.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp (- im)) (exp im))
58.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
89.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)
62.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	383	817
1	1993	768
2	5002	767

prune241.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes100.0ms

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	15	13
1	15	13

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
550.0ms	2570×	body	640	valid
366.0ms	8549×	body	80	valid
174.0ms	1264×	body	320	valid
54.0ms	590×	body	160	valid