Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 3.947597%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

6.0ms	(- (+ x y) z)
9.0ms	(/ (- (+ x y) z) (* t 2.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ x y) z)
14.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	235	273
1	843	239
2	3900	238
3	5001	238

prune66.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0b

Counts

54 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
8×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `associate-/l*` `add-log-exp`
3×	`div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 44

Calls

2 calls:

6.0ms	(/ (+ x y) (* t 2.0))
10.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (+ x y) (* t 2.0))
13.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	268	324
1	890	289
2	3645	287
3	5001	287

prune64.0ms

Filtered

35 candidates to 50 candidates (-42.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0b

Counts

55 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) z)
0.2b	(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
34×	`times-frac`
24×	`add-exp-log`
22×	`associate-r`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`associate-l`
8×	`div-exp` `prod-exp` `distribute-lft-out--`
7×	`add-log-exp`
6×	`unswap-sqr`
4×	`pow1` `cbrt-undiv` `cbrt-unprod` `distribute-lft-out` `difference-of-squares`
2×	`rec-exp` `diff-log` `1-exp` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 82

Calls

2 calls:

6.0ms	(- (+ x y) z)
17.0ms	(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ x y) z)
12.0ms	(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	452	576
1	1978	492
2	5001	486

prune87.0ms

Filtered

55 candidates to 88 candidates (-60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))
0.3b	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.5b	(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.5b	(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
78×	`sqrt-prod`
54×	`times-frac`
52×	`add-sqr-sqrt`
24×	`distribute-lft-out--`
22×	`add-cube-cbrt`
21×	`pow1` `swap-sqr`
13×	`associate-r` `associate-l`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`difference-of-squares`
7×	`div-inv`
6×	`sqrt-div` `associate-/l*`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `associate-l/` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `flip--`

Counts

4 → 151

Calls

4 calls:

9.0ms	(/ (- (+ x y) z) (* t 2.0))
21.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (- (+ x y) z) (* t 2.0))
42.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
27.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
31.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	397	1145
1	1765	1043
2	5001	1022

prune165.0ms

Filtered

98 candidates to 163 candidates (-66.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	163	5	168

Merged error: 0b

Counts

168 → 5

regimes557.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 3.947597%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

289.0ms	8000×	body	80	valid
84.0ms	2499×	body	80	invalid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Details

sample1.1s

simplify32.0ms

prune4.0ms

localize6.0ms

rewrite16.0ms

series19.0ms

simplify72.0ms

prune66.0ms

localize7.0ms

rewrite18.0ms

series20.0ms

simplify72.0ms

prune64.0ms

localize8.0ms

rewrite27.0ms

series16.0ms

simplify46.0ms

prune87.0ms

localize9.0ms

rewrite50.0ms

series111.0ms

simplify57.0ms

prune165.0ms

regimes557.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4