Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	290×	body	80	valid
3.0ms	1×	body	320	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

39.0ms	(+ (+ (/ x 2.0) (* y x)) z)
8.0ms	(+ (/ x 2.0) (* y x))

series69.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (/ x 2.0) (* y x)) z)
41.0ms	(+ (/ x 2.0) (* y x))

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune63.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y 0.5))
0.0b	(+ (* x (+ y 0.5)) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(* x (+ y 0.5))
5.0ms	(+ (* x (+ y 0.5)) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ y 0.5))
27.0ms	(+ (* x (+ y 0.5)) z)

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3668	149
3	5001	149

prune73.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
0.1b	(* (* y x) y)
1.5b	(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
28.0b	(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

66.0ms	(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
6.0ms	(* (* y x) y)
76.0ms	(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
46.0ms	(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x))) z)
16.0ms	(* (* y x) y)
92.0ms	(* x (- (/ (/ x 2.0) 2.0) (* (* y x) y)))
155.0ms	(/ (* x (- (/ (/ x 2.0) 2.0) (* (* y x) y))) (- (/ x 2.0) (* y x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	440	872
1	2152	767
2	5002	754

prune176.0ms

Filtered

91 candidates to 61 candidates (67.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(sqrt (+ (* x (+ y 0.5)) z))
0.0b	(sqrt (+ (* x (+ y 0.5)) z))
0.3b	(* (sqrt (+ (* x (+ y 0.5)) z)) (sqrt (+ (* x (+ y 0.5)) z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (* x (+ y 0.5)) z)
7.0ms	(sqrt (+ (* x (+ y 0.5)) z))
7.0ms	(sqrt (+ (* x (+ y 0.5)) z))
40.0ms	(* (sqrt (+ (* x (+ y 0.5)) z)) (sqrt (+ (* x (+ y 0.5)) z)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x (+ y 0.5)) z)
123.0ms	(sqrt (+ (* x (+ y 0.5)) z))
127.0ms	(sqrt (+ (* x (+ y 0.5)) z))
27.0ms	(* (sqrt (+ (* x (+ y 0.5)) z)) (sqrt (+ (* x (+ y 0.5)) z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	253	796
1	954	714
2	5002	688

prune360.0ms

Filtered

112 candidates to 65 candidates (58.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes88.0ms

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	10	3
1	10	3

end0.0ms

sample396.0ms

Algorithm

intervals

Results

216.0ms	9121×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid