Details

sample126.0ms

Algorithm

intervals

Results

70.0ms	170×	body	1280	valid
25.0ms	104×	body	640	valid
8.0ms	47×	body	320	valid
6.0ms	129×	body	80	valid
2.0ms	22×	body	160	valid

simplify89.0ms

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: 57.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.6b	(- (exp (- 0.0 im)) (exp im))

rewrite43.0ms

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))

series115.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
41.0ms	(- (exp (- 0.0 im)) (exp im))

simplify84.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (52.0ms)

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

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow im 5) (* 2 im))
0.0b	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.1b	(* 1/3 (pow im 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

1.0ms	(fma 1/60 (pow im 5) (* 2 im))
6.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
10.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
6.0ms	(* 1/3 (pow im 3))

series390.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma 1/60 (pow im 5) (* 2 im))
61.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
173.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
39.0ms	(* 1/3 (pow im 3))

simplify97.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	603	2658
1	2648	1693
2	5002	1680

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos re) (pow im 5))
0.1b	(* (cos re) (pow im 3))
0.1b	(* 0.16666666666666666 (* (cos re) (pow im 3)))
0.1b	(* (cos re) im)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 101

Calls

4 calls:

5.0ms	(* (cos re) (pow im 5))
6.0ms	(* (cos re) (pow im 3))
6.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
4.0ms	(* (cos re) im)

series339.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cos re) (pow im 5))
81.0ms	(* (cos re) (pow im 3))
93.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
37.0ms	(* (cos re) im)

simplify50.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	343	536
1	1477	470
2	5001	470

prune374.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite16.0ms

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))
2.0ms	(cbrt (cos re))

series453.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
97.0ms	(cbrt (cos re))
97.0ms	(cbrt (cos re))
99.0ms	(cbrt (cos re))

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

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

prune373.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	5668×	body	1280	valid
913.0ms	3648×	body	640	valid
233.0ms	1464×	body	320	valid
209.0ms	4404×	body	80	valid
70.0ms	692×	body	160	valid