Details

analyze576.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.235613%

Guaranteed chance to sample good point: 84.263623%

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune3.0ms

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 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify104.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune45.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.2b	(* (* x y) (* x y))
3.5b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
29.2b	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
6.0ms	(* (* x y) (* x y))
6.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
12.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
6.0ms	(* (* x y) (* x y))
24.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
45.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	559	1312
1	2878	1117
2	5001	1095

prune139.0ms

Filtered

73 candidates to 137 candidates (-87.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (* x y) (* (- 1.0 x) z))) (cbrt (- (* x y) (* (- 1.0 x) z))))
0.5b	(cbrt (- (* x y) (* (- 1.0 x) z)))
0.5b	(cbrt (- (* x y) (* (- 1.0 x) z)))
0.5b	(cbrt (- (* x y) (* (- 1.0 x) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

10.0ms	(* (cbrt (- (* x y) (* (- 1.0 x) z))) (cbrt (- (* x y) (* (- 1.0 x) z))))
3.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (cbrt (- (* x y) (* (- 1.0 x) z))) (cbrt (- (* x y) (* (- 1.0 x) z))))
43.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))
46.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))
43.0ms	(cbrt (- (* x y) (* (- 1.0 x) z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	305	1298
1	1025	1219
2	5001	1117

prune256.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* x y) (* (- 1.0 x) z)))
0.3b	(* (/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))) (/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))))
0.3b	(/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))
0.3b	(/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
51×	`sqrt-prod`
24×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
10×	`pow1` `sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `pow-div`
1×	`frac-times` `rem-sqrt-square` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+`

Counts

4 → 181

Calls

4 calls:

3.0ms	(sqrt (- (* x y) (* (- 1.0 x) z)))
28.0ms	(* (/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))) (/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))))
9.0ms	(/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))
9.0ms	(/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (- (* x y) (* (- 1.0 x) z)))
9.0ms	(* (/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))) (/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z)))))
102.0ms	(/ (+ (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))
19.0ms	(/ (- (* x y) (* (- 1.0 x) z)) (sqrt (- (* x y) (* (- 1.0 x) z))))

simplify105.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	721	3786
1	3580	2846
2	5001	2804

prune370.0ms

Filtered

135 candidates to 193 candidates (-43.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	193	5	198

Merged error: 0b

Counts

198 → 5

regimes197.0ms

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	4
1	11	4

end0.0ms

analyze616.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.235613%

Guaranteed chance to sample good point: 84.263623%

sample384.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
9.0ms	367×	body	80	invalid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

analyze576.0ms

sample18.0ms

simplify26.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify104.0ms

prune45.0ms

localize11.0ms

rewrite40.0ms

series82.0ms

simplify89.0ms

prune139.0ms

localize16.0ms

rewrite22.0ms

series201.0ms

simplify43.0ms

prune256.0ms

localize11.0ms

rewrite56.0ms

series148.0ms

simplify105.0ms

prune370.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze616.0ms

sample384.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4