Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	100×	body	1280	valid
20.0ms	88×	body	640	valid
12.0ms	286×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	25×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune5.0ms

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `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` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

20.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	258	374
1	1276	311
2	5002	307

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (- im)))
0.0b	(sqrt (exp (- im)))
0.0b	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
0.0b	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-pow1`
20×	`exp-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`neg-sub0` `exp-neg` `neg-mul-1` `rem-sqrt-square` `pow1/2` `exp-diff`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

10.0ms	(sqrt (exp (- im)))
6.0ms	(sqrt (exp (- im)))
0.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
20.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp (- im)))
15.0ms	(sqrt (exp (- im)))
64.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
96.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))

simplify34.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	241	658
1	977	521
2	5002	512

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
0.4b	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `fma-def` `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 → 92

Calls

4 calls:

21.0ms	(+ (exp (- im)) (exp im))
57.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
11.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
33.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series244.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp (- im)) (exp im))
64.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
59.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
98.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	397	875
1	2043	824
2	5001	822

prune274.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

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	13	11
1	13	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3023×	body	1280	valid
500.0ms	2428×	body	640	valid
366.0ms	8645×	body	80	valid
165.0ms	1251×	body	320	valid
63.0ms	664×	body	160	valid