Details

sample128.0ms

Algorithm

intervals

Results

68.0ms	169×	body	1280	valid
25.0ms	114×	body	640	valid
9.0ms	59×	body	320	valid
9.0ms	150×	body	80	valid
3.0ms	32×	body	160	valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 57.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.6b	(- (exp (- 0.0 im)) (exp im))

rewrite142.0ms

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:

83.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
47.0ms	(- (exp (- 0.0 im)) (exp im))

series120.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
40.0ms	(- (exp (- 0.0 im)) (exp im))

simplify75.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (51.0ms)

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

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

0.0ms	(fma 1/60 (pow im 5) (* 2 im))
23.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))

series329.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(fma 1/60 (pow im 5) (* 2 im))
170.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
37.0ms	(* 1/3 (pow im 3))

simplify78.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	563	1867
1	2447	1252
2	5001	1217

prune260.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite27.0ms

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:

6.0ms	(* (cos re) (pow im 5))
7.0ms	(* (cos re) (pow im 3))
9.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
3.0ms	(* (cos re) im)

series339.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cos re) (pow im 5))
81.0ms	(* (cos re) (pow im 3))
94.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))
40.0ms	(* (cos re) im)

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

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

prune347.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))))
0.6b	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.6b	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.6b	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

34.0ms	(* (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))))
4.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
4.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
4.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series727.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))))
178.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
171.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
172.0ms	(cbrt (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify72.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	418	2415
1	1532	2282
2	5001	2124

prune505.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes311.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b 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

sample4.0s

Algorithm

intervals

Results

2.4s	5840×	body	1280	valid
841.0ms	3534×	body	640	valid
222.0ms	1493×	body	320	valid
189.0ms	4265×	body	80	valid
62.0ms	646×	body	160	valid