Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (215.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune13.0ms

Filtered

1 candidates to 1 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 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

10.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series196.0ms

Counts

2 → 6

Calls

2 calls:

184.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4936	807
1	4936	807

prune101.0ms

Filtered

42 candidates to 54 candidates (-28.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
0.1b	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

18.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
13.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
11.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify26.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5092	773

prune69.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.7b	(/ (cbrt y) (+ 1.0 (* y (/ x 2.0))))
5.7b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (* y (/ x 2.0)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3-+` `pow1/3` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(/ (cbrt y) (+ 1.0 (* y (/ x 2.0))))
14.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (* y (/ x 2.0)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
31.0ms	(cbrt y)
51.0ms	(/ (cbrt y) (+ 1.0 (* y (/ x 2.0))))
18.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (* y (/ x 2.0)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4947	1664
1	4947	1664

prune174.0ms

Filtered

91 candidates to 122 candidates (-34.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

regimes106.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms

sample448.0ms

Algorithm

intervals

Results

250.0ms	7998×	body	80	valid
0.0ms	2×	body	2560	valid

Details

sample17.0ms

simplify217.0ms

prune13.0ms

localize9.0ms

rewrite18.0ms

series196.0ms

simplify45.0ms

prune101.0ms

localize7.0ms

rewrite33.0ms

series18.0ms

simplify26.0ms

prune69.0ms

localize11.0ms

rewrite25.0ms

series124.0ms

simplify45.0ms

prune174.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample448.0ms

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