Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify12.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 59

Calls

1 calls:

11.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	327	495
1	1524	343
2	5001	331

prune74.0ms

Filtered

62 candidates to 30 candidates (48.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

201×	`add-sqr-sqrt`
108×	`unswap-sqr`
63×	`cbrt-prod`
61×	`add-cbrt-cube`
59×	`associate-l`
57×	`cbrt-unprod`
56×	`associate-r`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
44×	`distribute-rgt-in` `distribute-lft-in`
36×	`prod-diff`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp`
14×	`swap-sqr`
8×	`*-commutative`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 217

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
41.0ms	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
176.0ms	(cbrt y)
172.0ms	(cbrt y)
73.0ms	(* (* x (* (cbrt y) (cbrt y))) (* (cbrt y) (- 1.0 y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1050	2811
1	5001	1779

prune386.0ms

Filtered

229 candidates to 125 candidates (54.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	229	7	236

Merged error: 0.0b

Counts

236 → 7

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
3.4b	(* x (* y (- 1.0 y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 127

Calls

2 calls:

7.0ms	(* y (- 1.0 y))
13.0ms	(* x (* y (- 1.0 y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- 1.0 y))
46.0ms	(* x (* y (- 1.0 y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	433	1159
1	2056	731
2	5002	725

prune138.0ms

Filtered

133 candidates to 51 candidates (38.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* y (- (* 1.0 1.0) (* y y)))
3.4b	(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
6.8b	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

1124×	`add-sqr-sqrt`
729×	`*-un-lft-identity`
717×	`associate-r`
450×	`prod-diff`
423×	`add-cube-cbrt`
338×	`times-frac`
312×	`swap-sqr`
275×	`difference-of-squares`
261×	`associate-l`
227×	`distribute-rgt-in` `distribute-lft-in`
185×	`unswap-sqr`
182×	`*-commutative`
86×	`distribute-lft-out` `associate-/l*`
57×	`associate-*r/`
55×	`distribute-lft-out--`
19×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `flip3--` `clear-num` `un-div-inv` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `flip-+` `div-inv`

Counts

3 → 991

Calls

3 calls:

45.0ms	(* y (- (* 1.0 1.0) (* y y)))
75.0ms	(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
67.0ms	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series434.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* y (- (* 1.0 1.0) (* y y)))
104.0ms	(* x (/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
260.0ms	(/ (* y (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify139.0ms

Algorithm

egg-herbie

Counts

1000 → 1000

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1856	11036
1	5002	9199

prune657.0ms

Filtered

1000 candidates to 226 candidates (22.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1000	0	1000
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	1000	8	1008

Merged error: 0.0b

Counts

1008 → 8

regimes96.0ms

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

sample371.0ms

Algorithm

intervals

Results

202.0ms

10498×

body

valid