Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

338×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune45.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.7b	(* x (* y (- 1.0 y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

7.0ms	(* y (- 1.0 y))
9.0ms	(* x (* y (- 1.0 y)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- 1.0 y))
40.0ms	(* x (* y (- 1.0 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	1094
1	1575	666
2	5002	648

prune76.0ms

Filtered

118 candidates to 41 candidates (34.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 1.0) (* y y))
0.8b	(* (* x y) (- (* 1.0 1.0) (* y y)))
8.0b	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-diff` `pow-prod-down` `flip--` `log1p-expm1-u`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `fma-neg` `diff-log` `associate-l` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 77

Calls

3 calls:

4.0ms	(- (* 1.0 1.0) (* y y))
7.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
11.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series205.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* 1.0 1.0) (* y y))
67.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
101.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify69.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	402	641
1	2275	527
2	5002	524

prune125.0ms

Filtered

86 candidates to 59 candidates (68.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))
0.2b	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
10.0b	(sqrt (* (* x y) (- 1.0 y)))
10.0b	(sqrt (* (* x y) (- 1.0 y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `pow-sqr` `add-cbrt-cube`
9×	`flip3--` `associate-r` `flip--`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

8.0ms	(* (* x y) (- 1.0 y))
18.0ms	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
9.0ms	(sqrt (* (* x y) (- 1.0 y)))
9.0ms	(sqrt (* (* x y) (- 1.0 y)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x y) (- 1.0 y))
43.0ms	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
195.0ms	(sqrt (* (* x y) (- 1.0 y)))
201.0ms	(sqrt (* (* x y) (- 1.0 y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	431	1006
1	2200	803
2	5002	767

prune203.0ms

Filtered

166 candidates to 74 candidates (44.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	166	5	171

Merged error: 0.0b

Counts

171 → 5

regimes66.0ms

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

sample424.0ms

Algorithm

intervals

Results

244.0ms

10753×

body

valid