Details

sample134.0ms

Algorithm

intervals

Results

75.0ms	174×	body	1280	valid
27.0ms	116×	body	640	valid
7.0ms	49×	body	320	valid
6.0ms	142×	body	80	valid
3.0ms	27×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	104	7
3	213	7
4	364	7
5	850	7
6	1415	7
7	1968	7
8	4985	7
9	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0b	(- (exp (- 0.0 im)) (exp im))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
119×	`add-sqr-sqrt` `*-un-lft-identity`
115×	`add-cube-cbrt`
110×	`exp-sum`
44×	`distribute-rgt-in` `distribute-lft-in`
14×	`fma-neg`
13×	`sub-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 184

Calls

2 calls:

18.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
12.0ms	(- (exp (- 0.0 im)) (exp im))

series120.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
36.0ms	(- (exp (- 0.0 im)) (exp im))

simplify77.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	714	4198
1	2514	2591
2	5003	2251

prune222.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.2b	(* 1/3 (pow im 3))
0.2b	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
13×	`add-exp-log`
10×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `add-cbrt-cube`
8×	`pow1`
7×	`add-log-exp`
6×	`fma-neg` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u`
2×	`flip3--` `diff-log` `associate-r/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `neg-log` `pow-exp` `fma-udef` `associate--r+`

Counts

3 → 140

Calls

3 calls:

6.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
6.0ms	(* 1/3 (pow im 3))
11.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series274.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
37.0ms	(* 1/3 (pow im 3))
174.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify88.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	600	2597
1	2640	1635
2	5001	1624

prune343.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
0.2b	(* (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))) (cos re))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
8.0ms	(* (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))) (cos re))

series135.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
75.0ms	(* (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im))) (cos re))

simplify92.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	127	311
1	519	269
2	3958	264
3	5001	264

prune160.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))

series467.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
106.0ms	(cbrt (cos re))
98.0ms	(cbrt (cos re))
99.0ms	(cbrt (cos re))

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune368.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	32	9
2	33	9
3	33	9

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.4s	5738×	body	1280	valid
885.0ms	3570×	body	640	valid
239.0ms	1459×	body	320	valid
211.0ms	4381×	body	80	valid
75.0ms	702×	body	160	valid