Details

sample752.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.629395%

Guaranteed chance to sample good point: 86.900357%

Results

18.0ms	256×	body	80	valid
2.0ms	40×	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) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune52.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.2b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite37.0ms

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:

6.0ms	(+ (* (- 1.0 x) y) (* x z))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
16.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* (- 1.0 x) y) (* x z))
24.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
26.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
8.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	275	956
1	1087	876
2	5001	850

prune134.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 x))
0.0b	(+ (* x z) (* y (- 1.0 x)))
0.1b	(pow (+ (* x z) (* y (- 1.0 x))) 3)
40.2b	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* y (- 1.0 x))
4.0ms	(+ (* x z) (* y (- 1.0 x)))
4.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
4.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (- 1.0 x))
9.0ms	(+ (* x z) (* y (- 1.0 x)))
25.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
8.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	336	639
1	1712	603
2	5001	597

prune102.0ms

Filtered

58 candidates to 101 candidates (-74.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

regimes194.0ms

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

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.629395%

Guaranteed chance to sample good point: 86.900357%

Results

257.0ms	8000×	body	80	valid
44.0ms	1328×	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

sample752.0ms

simplify26.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series13.0ms

simplify100.0ms

prune52.0ms

localize9.0ms

rewrite37.0ms

series66.0ms

simplify48.0ms

prune134.0ms

localize10.0ms

rewrite20.0ms

series47.0ms

simplify57.0ms

prune102.0ms

regimes194.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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