Details

sample144.0ms

Algorithm

intervals

Results

75.0ms	150×	body	1280	valid
33.0ms	125×	body	640	valid
11.0ms	57×	body	320	valid
8.0ms	136×	body	80	valid
3.0ms	23×	body	160	valid

simplify73.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 43.4b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

11.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series118.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
38.0ms	(- (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

prune150.0ms

Filtered

80 candidates to 43 candidates (53.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Merged error: 0.1b

Counts

81 → 3

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))

rewrite33.0ms

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)))
14.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms	(* 1/3 (pow im 3))

series390.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(fma 1/60 (pow im 5) (* 2 im))
61.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
174.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
35.0ms	(* 1/3 (pow im 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (68.0ms)

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

prune329.0ms

Filtered

162 candidates to 79 candidates (48.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	157	8	165

Merged error: 0.0b

Counts

165 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`prod-diff`
18×	`add-sqr-sqrt`
13×	`add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
10×	`associate-r` `add-cbrt-cube`
8×	`pow1`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `fma-udef` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`neg-mul-1` `sub-neg` `distribute-neg-in` `associate-r/` `associate--l+` `-commutative` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-exp` `flip--`

Counts

3 → 85

Calls

3 calls:

5.0ms	(* 1/60 (pow im 5))
9.0ms	(* (* 0.5 (sin re)) (- (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))) (* 2 im)))
1.0ms	(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* 1/60 (pow im 5))
166.0ms	(* (* 0.5 (sin re)) (- (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))) (* 2 im)))
119.0ms	(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

simplify65.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	466	1048
1	2060	946
2	5003	916

prune220.0ms

Filtered

94 candidates to 54 candidates (57.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Merged error: 0.0b

Counts

102 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.7b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

rewrite11.0ms

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:

5.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

series2.3s

Counts

4 → 12

Calls

4 calls:

586.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
566.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
558.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
562.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	293	1041
1	911	965
2	3966	833
3	5001	800

prune363.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

regimes204.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.5s	4824×	body	1280	valid
1.1s	3849×	body	640	valid
341.0ms	1877×	body	320	valid
250.0ms	4498×	body	80	valid
120.0ms	925×	body	160	valid