Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	302×	body	80	valid
0.0ms	1×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

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))

rewrite14.0ms

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:

8.0ms	(+ (+ (/ x 2.0) (* y x)) z)
6.0ms	(+ (/ x 2.0) (* y x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify25.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5019	336

prune42.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y 0.5)) z)
5.0ms	(* x (+ y 0.5))

simplify29.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5019	318

prune45.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
3.0ms	(sqrt (+ y 0.5))
7.0ms	(* x (sqrt (+ y 0.5)))
13.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
4.0ms	(sqrt (+ y 0.5))
9.0ms	(* x (sqrt (+ y 0.5)))
5.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

simplify34.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5012	998

prune149.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))
0.1b	(pow (+ (* x (+ y 0.5)) z) 3)
41.1b	(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `cbrt-div` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))
7.0ms	(pow (+ (* x (+ y 0.5)) z) 3)
7.0ms	(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* x (+ y 0.5)) z)
5.0ms	(* x (+ y 0.5))
22.0ms	(pow (+ (* x (+ y 0.5)) z) 3)
6.0ms	(cbrt (pow (+ (* x (+ y 0.5)) z) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5065	993

prune101.0ms

Filtered

56 candidates to 96 candidates (-71.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes239.0ms

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	11	9
1	11	9

end0.0ms

sample583.0ms

Algorithm

intervals

Results

254.0ms	9177×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample22.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify25.0ms

prune42.0ms

localize5.0ms

rewrite13.0ms

series13.0ms

simplify29.0ms

prune45.0ms

localize8.0ms

rewrite28.0ms

series21.0ms

simplify34.0ms

prune149.0ms

localize11.0ms

rewrite28.0ms

series40.0ms

simplify38.0ms

prune101.0ms

regimes239.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample583.0ms

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