Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	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: 17.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

17.2b

(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

8.0ms

(/ (* (* x 2.0) y) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	211	184
1	1144	151
2	5002	151

prune43.0ms

Filtered

32 candidates to 21 candidates (34.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.2b	(* (* x 2.0) (/ y (- x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ y (- x y))
9.0ms	(* (* x 2.0) (/ y (- x y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	310	435
1	1657	385
2	5001	385

prune67.0ms

Filtered

84 candidates to 53 candidates (36.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.3b	(/ (* x 2.0) (/ (- x y) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 96

Calls

2 calls:

5.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	547
2	5002	547

prune75.0ms

Filtered

102 candidates to 71 candidates (30.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	4	0	4
Picked	0	1	1
Done	1	1	2
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
6.0b	(* (/ x (- x y)) (* y 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ x (- x y))
9.0ms	(* (/ x (- x y)) (* y 2.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x (- x y))
8.0ms	(* (/ x (- x y)) (* y 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	312	431
1	1237	380
2	5001	380

prune57.0ms

Filtered

84 candidates to 57 candidates (32.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes91.0ms

Accuracy

96.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 6.9b

bsearch32.0ms

Steps

Iters	Range		Point
11	9.912561608785454e-86	5.7436872948117075e-64	5.690015299380299e-64
11	-1.7554059141447428e+34	-235016236154.9803	-666584851557.7338

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample436.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid

Details

sample16.0ms

simplify14.0ms

prune3.0ms

localize6.0ms

rewrite9.0ms

series8.0ms

simplify33.0ms

prune43.0ms

localize5.0ms

rewrite17.0ms

series15.0ms

simplify43.0ms

prune67.0ms

localize5.0ms

rewrite17.0ms

series12.0ms

simplify49.0ms

prune75.0ms

localize5.0ms

rewrite16.0ms

series13.0ms

simplify35.0ms

prune57.0ms

regimes91.0ms

bsearch32.0ms

simplify1.0ms

end0.0ms

sample436.0ms

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