Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify18.0ms

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: 10.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

10.4b

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

rewrite10.0ms

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:

9.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

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

prune51.0ms

Filtered

32 candidates to 21 candidates (65.6%)

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))
8.3b	(* (* x 2.0) (/ y (- x y)))

rewrite19.0ms

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- x y))
62.0ms	(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune105.0ms

Filtered

84 candidates to 54 candidates (64.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.2b	(* y (/ 1 (- x y)))
8.3b	(* (* x 2.0) (* y (/ 1 (- x y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-cbrt-cube`
27×	`prod-exp`
23×	`add-cube-cbrt`
22×	`associate-r`
18×	`pow1`
15×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`div-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r*`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `associate-l*` `associate-/r/`
3×	`associate-/l*` `add-log-exp` `unswap-sqr`
2×	`flip3--` `un-div-inv` `*-commutative` `flip--` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 117

Calls

3 calls:

6.0ms	(/ 1 (- x y))
13.0ms	(* y (/ 1 (- x y)))
12.0ms	(* (* x 2.0) (* y (/ 1 (- x y))))

series139.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- x y))
46.0ms	(* y (/ 1 (- x y)))
59.0ms	(* (* x 2.0) (* y (/ 1 (- x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	379	634
1	1779	506
2	5001	464

prune119.0ms

Filtered

126 candidates to 63 candidates (50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
8.5b	(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

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:

6.0ms	(/ (- x y) y)
9.0ms	(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- x y) y)
59.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	548
2	5001	547

prune133.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	0	2
Picked	1	0	1
Done	1	2	3
Total	105	3	108

Merged error: 0b

Counts

108 → 3

regimes43.0ms

Accuracy

88.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.3b

bsearch42.0ms

Steps

Iters	Range		Point
9	3.3484225530333717e-47	1.0005888749200047e-40	6.210935619700954e-41
3	-1.5736961722652108e+153	-1.3123487377944479e+153	-1.3286829524488706e+153

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample344.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid