Details

sample167.0ms

Algorithm

intervals

Results

83.0ms	146×	body	1280	valid
35.0ms	108×	body	640	valid
16.0ms	68×	body	320	valid
12.0ms	132×	body	80	valid
5.0ms	30×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	92	7
3	163	7
4	405	7
5	865	7
6	1189	7
7	2771	7
8	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.4b	(- (exp (- im)) (exp im))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `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 → 74

Calls

2 calls:

32.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
13.0ms	(- (exp (- im)) (exp im))

series122.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
39.0ms	(- (exp (- im)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	371	1102
1	1544	774
2	5001	722

prune172.0ms

Pruning

4 alts after pruning (4 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 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.1b	(* 1/3 (pow im 3))

rewrite44.0ms

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:

0.0ms	(fma 1/60 (pow im 5) (* 2 im))
6.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
25.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))

series411.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma 1/60 (pow im 5) (* 2 im))
63.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
179.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
39.0ms	(* 1/3 (pow im 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	586	2653
1	2556	1688
2	5001	1674

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`associate-r`
19×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`associate-l` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `distribute-neg-in` `cube-prod` `pow-prod-down` `fma-udef` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp` `sqr-pow`
1×	`+-commutative` `cube-mult` `neg-mul-1` `fma-def` `flip3-+` `unpow3` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
9.0ms	(* (sin re) (* -1/3 (pow im 3)))
9.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* -1/3 (pow im 3))

series585.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
96.0ms	(* (sin re) (* -1/3 (pow im 3)))
266.0ms	(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
37.0ms	(* -1/3 (pow im 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	522	854
1	2599	752
2	5001	734

prune399.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
0.1b	(* 1/3 (pow im 3))
3.1b	(log (exp (* 1/3 (pow im 3))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
102×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
91×	`add-cube-cbrt`
65×	`log-pow`
64×	`distribute-rgt-neg-in`
60×	`distribute-lft-neg-in`
53×	`distribute-rgt-in` `distribute-lft-in`
32×	`pow1`
28×	`add-log-exp`
21×	`exp-prod` `exp-to-pow`
19×	`associate-r`
16×	`fma-neg`
14×	`add-exp-log`
12×	`log-prod`
11×	`add-cbrt-cube`
10×	`neg-mul-1`
9×	`distribute-neg-in` `associate--l+`
6×	`prod-exp` `distribute-lft-out--`
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--` `difference-of-squares` `sqr-pow`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `rem-log-exp` `neg-log` `pow-exp` `fma-udef` `associate--r+`

Counts

4 → 269

Calls

4 calls:

23.0ms	(- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im)))
46.0ms	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))
1.0ms	(log (exp (* 1/3 (pow im 3))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im)))
181.0ms	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
43.0ms	(* 1/3 (pow im 3))
37.0ms	(log (exp (* 1/3 (pow im 3))))

simplify121.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	786	6533
1	3281	3785
2	5001	3620

prune488.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes378.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	33	13
2	40	13
3	40	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.6s	4677×	body	1280	valid
1.3s	3799×	body	640	valid
450.0ms	1883×	body	320	valid
411.0ms	4354×	body	80	valid
159.0ms	915×	body	160	valid