Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

336×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune36.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.9b	(* x (* y (- 1.0 y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- 1.0 y))
45.0ms	(* x (* y (- 1.0 y)))

simplify32.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune59.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.1b	(* (* x y) (sqrt (- 1.0 y)))
0.1b	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

3.0ms	(sqrt (- 1.0 y))
3.0ms	(sqrt (- 1.0 y))
8.0ms	(* (* x y) (sqrt (- 1.0 y)))
14.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (- 1.0 y))
30.0ms	(sqrt (- 1.0 y))
99.0ms	(* (* x y) (sqrt (- 1.0 y)))
42.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	398	694
1	1908	593
2	5002	569

prune169.0ms

Filtered

105 candidates to 65 candidates (61.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
0.1b	(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
0.2b	(pow (sqrt (- 1.0 y)) 3)
0.9b	(cbrt (pow (sqrt (- 1.0 y)) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
36×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`sqrt-prod`
33×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
22×	`add-cube-cbrt`
20×	`pow1`
19×	`add-exp-log`
18×	`sqrt-div`
15×	`add-cbrt-cube`
12×	`cube-div`
10×	`cbrt-div` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
7×	`distribute-lft-out--` `difference-of-squares`
4×	`frac-times` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3` `sqr-pow`
2×	`associate-l` `associate-l/` `-commutative`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 147

Calls

4 calls:

16.0ms	(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
17.0ms	(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
6.0ms	(pow (sqrt (- 1.0 y)) 3)
6.0ms	(cbrt (pow (sqrt (- 1.0 y)) 3))

series243.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
43.0ms	(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
69.0ms	(pow (sqrt (- 1.0 y)) 3)
32.0ms	(cbrt (pow (sqrt (- 1.0 y)) 3))

simplify91.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	596	1055
1	2966	842
2	5001	821

prune224.0ms

Filtered

159 candidates to 81 candidates (50.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	159	6	165

Merged error: 0.0b

Counts

165 → 6

regimes65.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample389.0ms

Algorithm

intervals

Results

229.0ms

10665×

body

valid