Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	26	5
3	29	5
4	30	5
5	30	5

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
8.4b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ 1.0 (/ (* x y) 2.0))
60.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify156.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	243	377
1	891	349
2	4552	338
3	5001	337

prune102.0ms

Filtered

58 candidates to 45 candidates (77.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.4b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.9b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ 1.0 (/ (* x y) 2.0))
47.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
63.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	390	714
1	1770	630
2	5002	577

prune152.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Merged error: 0b

Counts

110 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 142

Calls

3 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series144.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ 1.0 (/ (* x y) 2.0))
60.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	485	1289
1	2219	1161
2	5001	1040

prune178.0ms

Filtered

151 candidates to 85 candidates (56.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	2	153

Merged error: 0b

Counts

153 → 2

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample332.0ms

Algorithm

intervals

Results

204.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid