Details

sample102.0ms

Algorithm

intervals

Results

47.0ms	102×	body	1280	valid
21.0ms	87×	body	640	valid
13.0ms	256×	body	80	valid
5.0ms	32×	body	320	valid
2.0ms	14×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

1.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
4.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
4.0ms	(/ 0.5 (exp im))

series127.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
69.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
14.0ms	(/ 0.5 (exp im))

simplify128.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5001	364

prune142.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
0.0b	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
25×	`associate-r`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num` `fma-udef`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
4.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
5.0ms	(/ (sqrt 0.5) (exp im))
12.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
148.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
36.0ms	(/ (sqrt 0.5) (exp im))
64.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	383	1087
1	1654	936
2	5002	897

prune268.0ms

Filtered

133 candidates to 95 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

1.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series124.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
36.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify111.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	185	290
1	784	243
2	3962	240
3	5001	238

prune75.0ms

Filtered

39 candidates to 31 candidates (79.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))
0.2b	(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
0.3b	(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

4.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
4.0ms	(/ 0.5 (exp im))
1.0ms	(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
1.0ms	(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
15.0ms	(/ 0.5 (exp im))
99.0ms	(expm1 (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
102.0ms	(log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

simplify131.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	253	585
1	809	512
2	4430	501
3	5001	498

prune174.0ms

Filtered

83 candidates to 62 candidates (74.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	3068×	body	1280	valid
623.0ms	2466×	body	640	valid
471.0ms	8582×	body	80	valid
215.0ms	1256×	body	320	valid
68.0ms	608×	body	160	valid