Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

389×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
18×	`unswap-sqr`
15×	`difference-of-squares`
13×	`*-un-lft-identity`
9×	`associate-l`
6×	`distribute-lft-out--`
3×	`swap-sqr` `*-commutative` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 33

Calls

1 calls:

22.0ms

(- (* x x) (* (* y 4.0) z))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (* x x) (* (* y 4.0) z))

simplify67.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	286
1	465	276
2	1843	276
3	5001	276

prune33.0ms

Filtered

36 candidates to 16 candidates (55.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

415×	`add-sqr-sqrt`
258×	`sqrt-prod`
254×	`*-un-lft-identity`
198×	`associate-l`
160×	`unswap-sqr`
129×	`difference-of-squares`
114×	`distribute-lft-out--`
110×	`swap-sqr`
28×	`*-commutative`
27×	`associate-r`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `cbrt-unprod`

Counts

4 → 279

Calls

4 calls:

23.0ms	(- (* x x) (* (* y 4.0) z))
64.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
23.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
26.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* x x) (* (* y 4.0) z))
46.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
73.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
75.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	346	2466
1	1214	2366
2	5001	2338

prune288.0ms

Filtered

291 candidates to 107 candidates (63.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	289	4	293

Merged error: 0b

Counts

293 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

522×	`sqrt-prod`
439×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
201×	`associate-l`
165×	`unswap-sqr`
129×	`difference-of-squares`
117×	`swap-sqr`
114×	`distribute-lft-out--`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div` `associate-r`
28×	`*-commutative`
19×	`add-cube-cbrt` `pow1/2`
9×	`flip3--` `pow-prod-up` `flip--`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `cbrt-unprod`

Counts

4 → 308

Calls

4 calls:

72.0ms	(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))))
26.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
23.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
23.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))) (sqrt (sqrt (- (* x x) (* (* y 4.0) z)))))
262.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
75.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
78.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	384	3066
1	1303	2898
2	5001	2868

prune389.0ms

Filtered

320 candidates to 120 candidates (62.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	320	4	324

Merged error: 0b

Counts

324 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.8b	(sqrt (- (* x x) (* (* y 4.0) z)))
15.5b	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

194×	`add-sqr-sqrt`
96×	`sqrt-prod`
72×	`unswap-sqr`
61×	`*-un-lft-identity`
60×	`difference-of-squares`
54×	`unpow-prod-down`
36×	`associate-l`
32×	`cbrt-prod`
24×	`distribute-lft-out--`
12×	`add-cube-cbrt` `swap-sqr` `*-commutative`
8×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow-unpow` `sqrt-div` `add-log-exp`
3×	`pow-pow` `sqrt-pow1` `pow1/2`
2×	`rem-sqrt-square` `flip3--` `unpow3` `flip--` `rem-cbrt-cube` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 160

Calls

4 calls:

24.0ms	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
25.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
23.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
28.0ms	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

series276.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
76.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
76.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
76.0ms	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	406	1594
1	1192	1498
2	5001	1487

prune260.0ms

Filtered

172 candidates to 84 candidates (51.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	172	4	176

Merged error: 0b

Counts

176 → 4

regimes135.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample531.0ms

Algorithm

intervals

Results

282.0ms

12223×

body

valid