Details

sample48.0ms

Algorithm

intervals

Results

32.0ms

658×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	29	3
2	68	3
3	204	3
4	776	3
5	3986	3
6	5002	3

prune2.0ms

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	(- (pow x 4.0) (pow y 4.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`difference-of-squares`
8×	`unpow-prod-down`
6×	`sqr-pow`
5×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 23

Calls

1 calls:

7.0ms

(- (pow x 4.0) (pow y 4.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(- (pow x 4.0) (pow y 4.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	126	172
1	340	165
2	1287	165
3	5001	165

prune59.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
0.3b	(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
12.0b	(sqrt (pow x 4.0))
12.0b	(sqrt (pow x 4.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`sqrt-prod`
16×	`-un-lft-identity` `associate-r*`
15×	`unpow-prod-down`
12×	`difference-of-squares`
11×	`sqr-pow`
10×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `rem-sqrt-square` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-l` `flip-+`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

8.0ms	(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
20.0ms	(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
2.0ms	(sqrt (pow x 4.0))
2.0ms	(sqrt (pow x 4.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))
825.0ms	(* (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))
345.0ms	(sqrt (pow x 4.0))
350.0ms	(sqrt (pow x 4.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	372	957
1	1664	871
2	5001	861

prune256.0ms

Filtered

106 candidates to 84 candidates (79.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
17.6b	(cbrt (- (pow x 4.0) (pow y 4.0)))
17.6b	(cbrt (- (pow x 4.0) (pow y 4.0)))
17.6b	(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
106×	`cbrt-prod`
63×	`difference-of-squares`
56×	`unpow-prod-down`
49×	`*-un-lft-identity`
42×	`sqr-pow`
19×	`swap-sqr`
18×	`cbrt-div`
17×	`associate-r` `associate-l`
16×	`distribute-lft-out--`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

29.0ms	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
7.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
7.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
7.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
77.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
78.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
79.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	311	1830
1	987	1765
2	3905	1658
3	5002	1652

prune448.0ms

Filtered

167 candidates to 130 candidates (77.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	167	3	170

Merged error: 0b

Counts

170 → 3

regimes89.0ms

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	6	3

end0.0ms

sample1.4s

Algorithm

intervals

Results

998.0ms

20498×

body

valid