Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	14	3
2	17	3
3	18	3
4	18	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: 7.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

7.1b	(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (* x y) (+ y 1.0))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (* x y) (+ y 1.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	196	146
1	876	121
2	4575	120
3	5001	120

prune47.0ms

Filtered

28 candidates to 20 candidates (71.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y 1.0) y)
0.1b	(/ x (/ (+ y 1.0) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 115

Calls

2 calls:

5.0ms	(/ (+ y 1.0) y)
7.0ms	(/ x (/ (+ y 1.0) y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (+ y 1.0) y)
44.0ms	(/ x (/ (+ y 1.0) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	426	819
1	1855	780
2	5002	778

prune204.0ms

Filtered

121 candidates to 86 candidates (71.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	121	2	123

Merged error: 0b

Counts

123 → 2

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
9.6b	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
19.0b	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l` `distribute-lft-out`
12×	`unpow-prod-down` `cube-prod`
10×	`add-sqr-sqrt`
9×	`associate-/r*`
8×	`add-cube-cbrt` `add-log-exp`
5×	`pow1` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`associate-r` `sum-cubes`
2×	`frac-times` `associate-+r+` `associate-*r/` `sum-log` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

6.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
13.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
32.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series179.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
55.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
101.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	535	969
1	3108	804
2	5002	802

prune225.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes26.0ms

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	7	3
1	7	3

end0.0ms

sample280.0ms

Algorithm

intervals

Results

154.0ms

8000×

body

valid