Details

sample38.0ms

Algorithm

intervals

Results

23.0ms

459×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4940	11
1	4940	11

prune13.0ms

Filtered

1 candidates to 1 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: 8.1b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.7b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-sub` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
8.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
10.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
8.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
9.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4746	949
1	4746	949

prune126.0ms

Filtered

62 candidates to 80 candidates (-29.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.3b	(* (+ x.re x.im) (* x.re (- x.re x.im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r/` `associate-l/`
19×	`flip3-+` `flip-+`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-sub`
12×	`frac-times`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `sub-neg` `*-un-lft-identity`
8×	`associate--l+` `add-log-exp`
7×	`add-cube-cbrt` `associate-l`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
13.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
11.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
11.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
8.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
9.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4673	1680
1	4673	1680

prune141.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	111	11	122

Merged error: 0.0b

Counts

122 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x.re x.im) (* x.im 2))
0.1b	(* x.re (+ (+ x.re x.im) (* x.im 2)))
0.2b	(* (neg x.im) (* x.re (+ (+ x.re x.im) (* x.im 2))))
6.0b	(* (+ x.re x.im) (* x.re x.re))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`flip3-+` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sum-log` `*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `associate-+l+` `distribute-lft-out`

Counts

4 → 89

Calls

4 calls:

6.0ms	(+ (+ x.re x.im) (* x.im 2))
8.0ms	(* x.re (+ (+ x.re x.im) (* x.im 2)))
12.0ms	(* (neg x.im) (* x.re (+ (+ x.re x.im) (* x.im 2))))
8.0ms	(* (+ x.re x.im) (* x.re x.re))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ x.re x.im) (* x.im 2))
6.0ms	(* x.re (+ (+ x.re x.im) (* x.im 2)))
12.0ms	(* (neg x.im) (* x.re (+ (+ x.re x.im) (* x.im 2))))
6.0ms	(* (+ x.re x.im) (* x.re x.re))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4956	934
1	4956	934

prune129.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0b

Counts

112 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2))))
0.0b	(+ (+ x.re x.im) (* x.im 2))
0.3b	(* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2)))
6.0b	(* (+ x.re x.im) (* x.re x.re))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`*-un-lft-identity` `flip3-+` `flip-+`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`associate-r` `frac-add` `sum-log`
3×	`distribute-lft-neg-out` `distribute-rgt-neg-out`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `*-commutative`
1×	`associate-+l+` `unsub-neg` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

13.0ms	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2))))
6.0ms	(+ (+ x.re x.im) (* x.im 2))
11.0ms	(* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2)))
8.0ms	(* (+ x.re x.im) (* x.re x.re))

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2))))
5.0ms	(+ (+ x.re x.im) (* x.im 2))
10.0ms	(* (* x.re (neg x.im)) (+ (+ x.re x.im) (* x.im 2)))
6.0ms	(* (+ x.re x.im) (* x.re x.re))

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4990	1177
1	4990	1177

prune88.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	89	10	99

Merged error: 0b

Counts

99 → 10

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	20
1	42	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

747.0ms

14656×

body

valid

Details

sample38.0ms

simplify94.0ms

prune13.0ms

localize11.0ms

rewrite28.0ms

series31.0ms

simplify45.0ms

prune126.0ms

localize11.0ms

rewrite41.0ms

series32.0ms

simplify57.0ms

prune141.0ms

localize11.0ms

rewrite37.0ms

series29.0ms

simplify53.0ms

prune129.0ms

localize11.0ms

rewrite43.0ms

series32.0ms

simplify40.0ms

prune88.0ms

regimes125.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling