Details

sample105.0ms

Algorithm

intervals

Results

46.0ms	110×	body	1280	valid
20.0ms	89×	body	640	valid
14.0ms	273×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify74.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

6.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- im)) (exp im))
58.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (35.0ms)

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

prune100.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp (- im)))
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
6.7b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite36.0ms

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` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `frac-times` `log1p-expm1-u`
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` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `fma-neg` `diff-log` `prod-diff` `prod-exp` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

15.0ms	(* (exp (- im)) (exp (- im)))
3.0ms	(pow (exp im) 3)
5.0ms	(pow (exp (- im)) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (exp (- im)) (exp (- im)))
23.0ms	(pow (exp im) 3)
25.0ms	(pow (exp (- im)) 3)
50.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify147.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	480	667
1	2576	557
2	5001	518

prune409.0ms

Filtered

168 candidates to 100 candidates (59.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Merged error: 0b

Counts

171 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.1b	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-prod`
4×	`expm1-log1p-u` `associate-r` `exp-sum` `log1p-expm1-u`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `rem-exp-log`

Counts

4 → 74

Calls

4 calls:

6.0ms	(+ (exp (- im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
4.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
4.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- im)) (exp im))
63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
85.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
63.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	323	734
1	1463	624
2	5002	617

prune202.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes122.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	2972×	body	1280	valid
616.0ms	2526×	body	640	valid
433.0ms	8602×	body	80	valid
204.0ms	1228×	body	320	valid
70.0ms	626×	body	160	valid