Details

analyze1.3s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 4.873521%

Guaranteed chance to sample good point: 75.557121%

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

prune4.0ms

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: 0.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.2b	(/ (* y z) 2.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
4.0ms	(/ (* y z) 2.0)

series24.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
12.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
4.0ms	(/ (* y z) 2.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune79.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	2	60

Merged error: 0b

Counts

60 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (* y (/ z 2.0))) t)
0.0b	(- (* (/ 1.0 8.0) x) (* y (/ z 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+l+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `associate-r/` `associate-l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

7.0ms	(+ (- (* (/ 1.0 8.0) x) (* y (/ z 2.0))) t)
5.0ms	(- (* (/ 1.0 8.0) x) (* y (/ z 2.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (- (* (/ 1.0 8.0) x) (* y (/ z 2.0))) t)
9.0ms	(- (* (/ 1.0 8.0) x) (* y (/ z 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	196	275
1	631	260
2	2706	255
3	5001	255

prune53.0ms

Filtered

26 candidates to 35 candidates (-34.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

37 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.2b	(/ (* y z) 2.0)
0.2b	(/ (* y z) 2.0)
0.3b	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`sqrt-div`
21×	`sqrt-prod`
20×	`pow1`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*l/`
9×	`frac-times` `flip3--` `sqrt-pow1` `pow1/2` `frac-sub` `flip--`
8×	`swap-sqr`
6×	`times-frac` `associate-r` `associate-l` `associate-/r*`
5×	`pow-prod-up`
4×	`cbrt-undiv` `div-exp` `add-log-exp` `unswap-sqr`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `*-commutative`

Counts

4 → 122

Calls

4 calls:

6.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms	(/ (* y z) 2.0)
4.0ms	(/ (* y z) 2.0)
18.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
3.0ms	(/ (* y z) 2.0)
3.0ms	(/ (* y z) 2.0)
17.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	400	1179
1	1792	1067
2	5001	1041

prune182.0ms

Filtered

83 candidates to 134 candidates (-61.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 2

regimes375.0ms

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	16	6
1	16	6

end0.0ms

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 4.873521%

Guaranteed chance to sample good point: 75.557121%

sample602.0ms

Algorithm

intervals

Results

324.0ms	7998×	body	80	valid
35.0ms	725×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze1.3s

sample23.0ms

simplify26.0ms

prune4.0ms

localize9.0ms

rewrite22.0ms

series24.0ms

simplify33.0ms

prune79.0ms

localize9.0ms

rewrite13.0ms

series20.0ms

simplify75.0ms

prune53.0ms

localize12.0ms

rewrite38.0ms

series46.0ms

simplify66.0ms

prune182.0ms

regimes375.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample602.0ms

Profiling