Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ y 200.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

6.0ms

(- x (/ y 200.0))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ y 200.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	83	80
1	185	75
2	435	75
3	1211	75
4	4298	75
5	5001	75

prune25.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt (/ y 200.0)))
0.1b	(sqrt (/ y 200.0))
0.1b	(sqrt (/ y 200.0))
0.1b	(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`sqrt-prod`
32×	`*-un-lft-identity`
22×	`times-frac`
20×	`add-cube-cbrt`
11×	`associate-r`
8×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`associate-l`
4×	`frac-times` `rem-sqrt-square` `flip3-+` `flip-+` `distribute-lft-out`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-r/` `associate-l/` `div-inv` `distribute-lft-out--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

8.0ms	(+ (sqrt x) (sqrt (/ y 200.0)))
3.0ms	(sqrt (/ y 200.0))
3.0ms	(sqrt (/ y 200.0))
20.0ms	(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (sqrt x) (sqrt (/ y 200.0)))
50.0ms	(sqrt (/ y 200.0))
56.0ms	(sqrt (/ y 200.0))
246.0ms	(* (+ (sqrt x) (sqrt (/ y 200.0))) (- (sqrt x) (sqrt (/ y 200.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	474	954
1	1811	824
2	5002	801

prune256.0ms

Filtered

115 candidates to 92 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ y 200.0))
0.1b	(sqrt (/ y 200.0))
0.1b	(* (sqrt x) (sqrt (/ y 200.0)))
0.1b	(* (sqrt x) (sqrt (/ y 200.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt` `sqrt-prod`
42×	`times-frac`
38×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
14×	`pow1`
12×	`associate-l` `unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down`
4×	`rem-sqrt-square` `sqrt-div` `div-inv` `add-log-exp`
2×	`sqrt-unprod` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

3.0ms	(sqrt (/ y 200.0))
3.0ms	(sqrt (/ y 200.0))
9.0ms	(* (sqrt x) (sqrt (/ y 200.0)))
9.0ms	(* (sqrt x) (sqrt (/ y 200.0)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt (/ y 200.0))
52.0ms	(sqrt (/ y 200.0))
109.0ms	(* (sqrt x) (sqrt (/ y 200.0)))
111.0ms	(* (sqrt x) (sqrt (/ y 200.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	325	904
1	1164	832
2	5001	806

prune354.0ms

Filtered

148 candidates to 114 candidates (77.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Merged error: 0.0b

Counts

151 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ y 200.0))
0.1b	(sqrt (/ y 200.0))
0.1b	(* (exp (log (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
1.1b	(exp (log (+ (sqrt x) (sqrt (/ y 200.0)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
39×	`sqrt-prod`
35×	`*-un-lft-identity`
23×	`add-cube-cbrt`
22×	`times-frac`
11×	`log-prod` `associate-r` `exp-sum`
9×	`pow1`
8×	`log-div` `exp-diff` `associate-l`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`add-exp-log`
4×	`frac-times` `rem-sqrt-square` `exp-prod` `flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-r/` `associate-l/` `div-inv` `distribute-lft-out--` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 113

Calls

4 calls:

3.0ms	(sqrt (/ y 200.0))
3.0ms	(sqrt (/ y 200.0))
26.0ms	(* (exp (log (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
9.0ms	(exp (log (+ (sqrt x) (sqrt (/ y 200.0)))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (/ y 200.0))
53.0ms	(sqrt (/ y 200.0))
262.0ms	(* (exp (log (+ (sqrt x) (sqrt (/ y 200.0))))) (- (sqrt x) (sqrt (/ y 200.0))))
75.0ms	(exp (log (+ (sqrt x) (sqrt (/ y 200.0)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	499	1066
1	1830	922
2	5002	896

prune297.0ms

Filtered

125 candidates to 96 candidates (76.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Merged error: 0.0b

Counts

128 → 3

regimes69.0ms

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	5	2

end0.0ms

sample267.0ms

Algorithm

intervals

Results

148.0ms

8000×

body

valid