Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ y (+ y 1.0))
12.0ms	(* x (/ y (+ y 1.0)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5549	665

prune78.0ms

Filtered

53 candidates to 76 candidates (-43.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ y 1.0) y)
0.0b	(* x (/ 1 (/ (+ y 1.0) y)))
0.1b	(/ 1 (/ (+ y 1.0) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
155×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
103×	`add-cube-cbrt`
53×	`associate-r`
35×	`add-exp-log`
25×	`distribute-lft-out`
19×	`associate-/r*` `add-cbrt-cube`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp` `associate-/l*`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

3 → 203

Calls

3 calls:

5.0ms	(/ (+ y 1.0) y)
18.0ms	(* x (/ 1 (/ (+ y 1.0) y)))
8.0ms	(/ 1 (/ (+ y 1.0) y))

series13.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (+ y 1.0) y)
6.0ms	(* x (/ 1 (/ (+ y 1.0) y)))
3.0ms	(/ 1 (/ (+ y 1.0) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5179	2113

prune197.0ms

Filtered

128 candidates to 212 candidates (-65.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	212	3	215

Merged error: 0b

Counts

215 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.1b	(* x (/ y (- (* y y) (* 1.0 1.0))))
5.7b	(* (* x (/ y (- (* y y) (* 1.0 1.0)))) (- y 1.0))
12.6b	(/ y (- (* y y) (* 1.0 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
23×	`add-cube-cbrt` `associate-r`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `diff-log` `associate-*l/` `clear-num` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

3.0ms	(- (* y y) (* 1.0 1.0))
9.0ms	(* x (/ y (- (* y y) (* 1.0 1.0))))
11.0ms	(* (* x (/ y (- (* y y) (* 1.0 1.0)))) (- y 1.0))
5.0ms	(/ y (- (* y y) (* 1.0 1.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* y y) (* 1.0 1.0))
13.0ms	(* x (/ y (- (* y y) (* 1.0 1.0))))
12.0ms	(* (* x (/ y (- (* y y) (* 1.0 1.0)))) (- y 1.0))
4.0ms	(/ y (- (* y y) (* 1.0 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4989	1533
1	4989	1533

prune134.0ms

Filtered

97 candidates to 126 candidates (-29.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes67.0ms

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	8	7
1	8	7

end0.0ms

sample393.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid

Details

sample16.0ms

simplify4.0ms

prune10.0ms

localize8.0ms

rewrite19.0ms

series9.0ms

simplify53.0ms

prune78.0ms

localize6.0ms

rewrite43.0ms

series13.0ms

simplify73.0ms

prune197.0ms

localize9.0ms

rewrite32.0ms

series36.0ms

simplify45.0ms

prune134.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample393.0ms

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