Details

sample112.0ms

Algorithm

intervals

Results

47.0ms	104×	body	1280	valid
23.0ms	70×	body	640	valid
17.0ms	254×	body	80	valid
7.0ms	36×	body	320	valid
4.0ms	28×	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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:

31.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
10.0ms	(+ (exp (- im)) (exp im))

series84.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (36.0ms)

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

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.0b	(* (exp im) (exp im))
0.0b	(pow (exp im) 3)
3.4b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `fma-neg` `diff-log` `prod-diff` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

5.0ms	(pow (exp (- im)) 3)
8.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
11.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp (- im)) 3)
13.0ms	(* (exp im) (exp im))
29.0ms	(pow (exp im) 3)
46.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify129.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	389	525
1	2239	444
2	5001	380

prune404.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp (- im)))
0.0b	(pow (exp (- im)) 3)
0.0b	(pow (exp im) 3)
3.5b	(fma (exp im) (exp im) (- 1))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in`
23×	`distribute-lft-neg-in`
15×	`pow-pow` `pow-prod-down`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`exp-neg` `add-cbrt-cube`
7×	`neg-sub0` `exp-diff`
6×	`unpow-prod-down` `pow-unpow` `cube-prod`
4×	`add-exp-log` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `pow-plus` `prod-exp` `un-div-inv` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

31.0ms	(* (exp (- im)) (exp (- im)))
5.0ms	(pow (exp (- im)) 3)
2.0ms	(pow (exp im) 3)
0.0ms	(fma (exp im) (exp im) (- 1))

series93.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (exp (- im)) (exp (- im)))
30.0ms	(pow (exp (- im)) 3)
23.0ms	(pow (exp im) 3)
25.0ms	(fma (exp im) (exp im) (- 1))

simplify59.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	394	530
1	1775	457
2	5001	413

prune535.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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	7
1	13	7

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s	2968×	body	1280	valid
719.0ms	2440×	body	640	valid
582.0ms	8492×	body	80	valid
246.0ms	1224×	body	320	valid
86.0ms	633×	body	160	valid