Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 14.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ (* (* 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` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

8.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	214	194
1	1150	161
2	5001	161

prune52.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.5b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 82

Calls

2 calls:

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

series103.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- x y))
61.0ms	(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	315	451
1	1665	401
2	5001	401

prune107.0ms

Filtered

88 candidates to 57 candidates (64.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.8b	(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

6.0ms	(/ (- x y) y)
11.0ms	(/ (* x 2.0) (/ (- x y) y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- x y) y)
58.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	392	620
1	1920	563
2	5001	562

prune137.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

2 → 82

Calls

2 calls:

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

series111.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ x (- x y))
64.0ms	(* (/ x (- x y)) (* y 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	319	446
1	1255	395
2	5001	395

prune109.0ms

Filtered

88 candidates to 61 candidates (69.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 0b

Counts

90 → 2

regimes38.0ms

Accuracy

98.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.9b

bsearch71.0ms

Steps

Iters	Range		Point
10	9.306852276147588e+51	4.989430173065657e+69	1.8002260009402298e+52
9	-2.9496256244778682e+47	-1.020599224133985e+40	-8.672935734399461e+40

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample352.0ms

Algorithm

intervals

Results

221.0ms

8000×

body

valid