Details

sample154.0ms

Algorithm

intervals

Results

69.0ms	138×	body	1280	valid
41.0ms	132×	body	640	valid
14.0ms	67×	body	320	valid
12.0ms	126×	body	80	valid
3.0ms	24×	body	160	valid

simplify70.0ms

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: 45.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.7b	(- (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:

33.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
12.0ms	(- (exp (- im)) (exp im))

series116.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms	(- (exp (- im)) (exp im))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

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

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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

rewrite42.0ms

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)))
7.0ms	(* 1/3 (pow im 3))
24.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma 1/60 (pow im 5) (* 2 im))
61.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
35.0ms	(* 1/3 (pow im 3))
174.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify85.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	586	2644
1	2556	1682
2	5002	1670

prune382.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

126×	`prod-diff`
84×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
60×	`unpow-prod-down`
44×	`distribute-rgt-in` `distribute-lft-in`
22×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `sqr-pow`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
6×	`fma-neg` `prod-exp` `difference-of-squares`
4×	`expm1-log1p-u` `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--` `distribute-lft-out--`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `neg-log` `pow-exp` `fma-udef`

Counts

4 → 225

Calls

4 calls:

0.0ms	(fma 1/60 (pow im 5) (* 2 im))
9.0ms	(- (- (* 1/3 (pow im 3))) (pow (fma 1/60 (pow im 5) (* 2 im)) 1))
6.0ms	(* 1/3 (pow im 3))
35.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (pow (fma 1/60 (pow im 5) (* 2 im)) 1)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma 1/60 (pow im 5) (* 2 im))
62.0ms	(- (- (* 1/3 (pow im 3))) (pow (fma 1/60 (pow im 5) (* 2 im)) 1))
35.0ms	(* 1/3 (pow im 3))
174.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (pow (fma 1/60 (pow im 5) (* 2 im)) 1)))

simplify128.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	884	5485
1	3106	3072
2	5002	3055

prune399.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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	(* 1/3 (pow im 3))
0.1b	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
2.9b	(log (exp (* 1/3 (pow im 3))))

rewrite85.0ms

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:

22.0ms	(- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im)))
6.0ms	(* 1/3 (pow im 3))
42.0ms	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
1.0ms	(log (exp (* 1/3 (pow im 3))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im)))
40.0ms	(* 1/3 (pow im 3))
173.0ms	(* (* 0.5 (sin re)) (- (- (log (exp (* 1/3 (pow im 3))))) (fma 1/60 (pow im 5) (* 2 im))))
36.0ms	(log (exp (* 1/3 (pow im 3))))

simplify118.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	786	6533
1	3288	3784
2	5001	3620

prune641.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	32	11
2	32	11

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	4753×	body	1280	valid
1.2s	3808×	body	640	valid
392.0ms	1847×	body	320	valid
304.0ms	4378×	body	80	valid
129.0ms	922×	body	160	valid