Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	42	4
3	44	4
4	44	4

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 18.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

17.3b

(/ (+ x y) (* (* x 2.0) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

8.0ms

(/ (+ x y) (* (* x 2.0) y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (+ x y) (* (* x 2.0) y))

simplify31.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	220	188
1	940	152
2	5001	152

prune44.0ms

Filtered

30 candidates to 19 candidates (36.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* x 2.0))
6.7b	(/ (/ (+ x y) (* x 2.0)) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
33×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv` `distribute-lft-out`
4×	`associate-/r*`
3×	`associate-/l/`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ (+ x y) (* x 2.0))
8.0ms	(/ (/ (+ x y) (* x 2.0)) y)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (+ x y) (* x 2.0))
7.0ms	(/ (/ (+ x y) (* x 2.0)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	543
1	1330	485
2	5001	485

prune74.0ms

Filtered

83 candidates to 58 candidates (30.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* x 2.0))
6.7b	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
20×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`times-frac`
17×	`prod-exp`
16×	`div-exp`
13×	`add-cube-cbrt` `associate-r`
9×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-l`
4×	`pow1` `associate-/l*`
3×	`rec-exp` `1-exp` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `un-div-inv` `-commutative` `flip-+`

Counts

2 → 80

Calls

2 calls:

7.0ms	(/ (+ x y) (* x 2.0))
13.0ms	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (+ x y) (* x 2.0))
9.0ms	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	446	550
1	2196	442
2	5001	430

prune67.0ms

Filtered

86 candidates to 51 candidates (40.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) y)
7.4b	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
35×	`*-un-lft-identity`
28×	`times-frac`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
21×	`add-cube-cbrt`
20×	`prod-exp`
16×	`div-exp` `associate-r`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l` `distribute-lft-out`
4×	`pow1` `rec-exp` `1-exp` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 90

Calls

2 calls:

5.0ms	(/ (+ x y) y)
13.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ x y) y)
7.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	442	581
1	2349	487
2	5001	485

prune65.0ms

Filtered

96 candidates to 56 candidates (41.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

regimes80.0ms

Accuracy

97.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.8b

bsearch23.0ms

Steps

Iters	Range		Point
7	4.5369548832592436e-30	3.93201851452141e-28	1.615010283615861e-28
7	-1.0856704322955154e+58	-7.893104396998625e+55	-8.029497350009197e+55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample409.0ms

Algorithm

intervals

Results

211.0ms

8002×

body

valid

Details

sample16.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite8.0ms

series7.0ms

simplify31.0ms

prune44.0ms

localize6.0ms

rewrite19.0ms

series12.0ms

simplify40.0ms

prune74.0ms

localize7.0ms

rewrite22.0ms

series14.0ms

simplify52.0ms

prune67.0ms

localize7.0ms

rewrite23.0ms

series11.0ms

simplify55.0ms

prune65.0ms

regimes80.0ms

bsearch23.0ms

simplify2.0ms

end0.0ms

sample409.0ms

Profiling