Details

sample613.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

7.0ms	256×	body	80	valid
0.0ms	5×	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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify99.0ms

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

prune55.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

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

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 x))
8.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
7.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify141.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	330	920
1	1050	880
2	4571	822
3	5002	818

prune226.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (cbrt (- 1.0 x)))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b	(pow (cbrt (cbrt (- 1.0 x))) 4)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`cbrt-div`
12×	`pow1`
11×	`unpow-prod-down`
10×	`swap-sqr`
9×	`pow1/3` `distribute-lft-out--`
8×	`flip3--` `associate-r` `associate-l` `flip--`
7×	`add-exp-log` `difference-of-squares`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (cbrt (- 1.0 x)))
10.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
6.0ms	(pow (cbrt (cbrt (- 1.0 x))) 4)

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (cbrt (- 1.0 x)))
6.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
15.0ms	(pow (cbrt (cbrt (- 1.0 x))) 4)

simplify61.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	602	1062
1	2028	1016
2	5001	959

prune357.0ms

Filtered

88 candidates to 127 candidates (-44.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0.0b

Counts

131 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.1b	(* (sqrt (- 1.0 x)) z)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
3.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
6.0ms	(* (sqrt (- 1.0 x)) z)
11.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
7.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
14.0ms	(* (sqrt (- 1.0 x)) z)
5.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	471	686
1	1710	607
2	5001	591

prune132.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

regimes219.0ms

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

sample949.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

213.0ms	8000×	body	80	valid
10.0ms	380×	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

sample613.0ms

simplify26.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series12.0ms

simplify99.0ms

prune55.0ms

localize9.0ms

rewrite21.0ms

series27.0ms

simplify141.0ms

prune226.0ms

localize15.0ms

rewrite25.0ms

series33.0ms

simplify61.0ms

prune357.0ms

localize8.0ms

rewrite25.0ms

series30.0ms

simplify49.0ms

prune132.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample949.0ms

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