Details

sample819.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.444092%

Guaranteed chance to sample good point: 83.54125%

Results

7.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify33.0ms

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	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune6.0ms

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 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) 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	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- x 1.0) z)
7.0ms	(+ (* x y) (* (- x 1.0) z))

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune50.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.8b	(* (- (* x x) (* 1.0 1.0)) z)
5.9b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

6.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
8.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	370	531
1	1763	466
2	5001	457

prune78.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) (* (- x 1.0) z))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* (- x 1.0) z))
18.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
18.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	266	940
1	1018	860
2	5001	834

prune130.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.2b	(pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)
0.3b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)))
11.5b	(cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`cbrt-prod`
35×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`unpow-prod-down` `cube-prod`
21×	`associate-r`
18×	`sqrt-div`
14×	`unswap-sqr`
10×	`cube-div`
9×	`pow1` `flip3-+` `flip-+`
8×	`cbrt-div`
7×	`add-exp-log`
6×	`associate-l` `add-cbrt-cube`
5×	`sqr-pow`
4×	`frac-times` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `associate-l/`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 138

Calls

4 calls:

3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
5.0ms	(pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)
14.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)))
5.0ms	(cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3))

series192.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
144.0ms	(pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)
11.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3)))
18.0ms	(cbrt (pow (sqrt (+ (* x y) (* (- x 1.0) z))) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	389	1702
1	1530	1347
2	5001	1267

prune173.0ms

Filtered

78 candidates to 150 candidates (-92.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	150	4	154

Merged error: 0b

Counts

154 → 4

regimes203.0ms

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

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.444092%

Guaranteed chance to sample good point: 83.54125%

Results

240.0ms	8000×	body	80	valid
27.0ms	951×	body	80	invalid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Details

sample819.0ms

simplify33.0ms

prune6.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify100.0ms

prune50.0ms

localize10.0ms

rewrite23.0ms

series28.0ms

simplify52.0ms

prune78.0ms

localize8.0ms

rewrite23.0ms

series54.0ms

simplify44.0ms

prune130.0ms

localize11.0ms

rewrite32.0ms

series192.0ms

simplify60.0ms

prune173.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4