Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

7.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify132.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	200	154
1	910	129
2	4740	126
3	5001	124

prune55.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 119

Calls

2 calls:

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ y 1.0) y)
45.0ms	(/ x (/ (+ y 1.0) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	434	830
1	1898	791
2	5002	787

prune188.0ms

Filtered

125 candidates to 90 candidates (72.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 74

Calls

2 calls:

5.0ms	(/ x (+ y 1.0))
9.0ms	(* (/ x (+ y 1.0)) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x (+ y 1.0))
49.0ms	(* (/ x (+ y 1.0)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	311	395
1	1242	355
2	5002	351

prune121.0ms

Filtered

80 candidates to 59 candidates (73.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize15.0ms

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))))

rewrite49.0ms

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×	`expm1-log1p-u` `associate-+r+` `associate-r` `sum-cubes` `log1p-expm1-u`
2×	`frac-times` `associate-*r/` `sum-log` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `diff-log` `prod-diff` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

6.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
17.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
22.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series197.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
60.0ms	(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
109.0ms	(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify92.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	560	1007
1	3224	825
2	5002	811

prune245.0ms

Filtered

108 candidates to 74 candidates (68.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes31.0ms

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

sample326.0ms

Algorithm

intervals

Results

191.0ms

8000×

body

valid