Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

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

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: 8.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

8.0b	(/ (* 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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify123.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (23.0ms)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ y 1.0) y)
45.0ms	(/ x (/ (+ y 1.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

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

prune162.0ms

Filtered

121 candidates to 86 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ y 1.0))
6.0b	(* (/ x (+ y 1.0)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ x (+ y 1.0))
8.0ms	(* (/ x (+ y 1.0)) y)

series78.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (+ y 1.0))
46.0ms	(* (/ x (+ y 1.0)) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	301	381
1	1184	344
2	5001	343

prune97.0ms

Filtered

76 candidates to 55 candidates (72.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
11.7b	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
17.7b	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite45.0ms

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)))
16.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
21.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
56.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
100.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (67.0ms)

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

prune190.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

regimes28.0ms

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

sample307.0ms

Algorithm

intervals

Results

182.0ms

8000×

body

valid