Details

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.793213%

Guaranteed chance to sample good point: 63.080348%

Results

9.0ms	256×	body	80	valid
2.0ms	44×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

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: 1.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
1.8b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
26.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
8.0ms	(- (/ y z) (/ t (- 1.0 z)))
15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5002	593

prune150.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 0.3b

Counts

99 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
2.0b	(* x (neg (/ t (- 1.0 z))))
5.0b	(* x (/ y z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
59×	`associate-r`
55×	`times-frac`
42×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-l` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*r/` `div-inv`
3×	`flip3--` `prod-exp` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 147

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
5.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
14.0ms	(* x (neg (/ t (- 1.0 z))))
6.0ms	(* x (/ y z))

series37.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
16.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
11.0ms	(* x (neg (/ t (- 1.0 z))))
5.0ms	(* x (/ y z))

simplify84.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	674	868
1	3164	809
2	5002	808

prune211.0ms

Filtered

118 candidates to 159 candidates (-34.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Merged error: 0.0b

Counts

169 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
1.5b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`pow1` `add-exp-log`
11×	`associate-r` `add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`times-frac`
7×	`associate-l`
6×	`sub-neg`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`flip3--` `pow1/3` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
26.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
43.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	448	958
1	1805	775
2	5001	689

prune134.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	102	12	114

Merged error: 0b

Counts

114 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

153×	`cbrt-div`
138×	`associate-*r/`
81×	`frac-times`
51×	`flip3--` `frac-sub` `flip--`
43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`pow1` `add-exp-log`
30×	`cbrt-prod`
29×	`pow-prod-down`
27×	`associate-*l/`
24×	`times-frac` `prod-exp` `cbrt-unprod`
14×	`add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1/3`
7×	`add-cube-cbrt`
4×	`add-log-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 161

Calls

4 calls:

82.0ms	(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
36.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
40.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify99.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	1100	3624
1	3121	3145
2	5001	2930

prune386.0ms

Filtered

113 candidates to 173 candidates (-53.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	173	12	185

Merged error: 0b

Counts

185 → 12

regimes620.0ms

Accuracy

34.2% (2.6b remaining)

Error of 3.1b against oracle of 0.5b and baseline of 4.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	37	19
2	38	19
3	38	19

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.793213%

Guaranteed chance to sample good point: 63.080348%

Results

314.0ms	8000×	body	80	valid
67.0ms	1713×	body	80	invalid

Details

sample2.0s

simplify15.0ms

prune3.0ms

localize7.0ms

rewrite52.0ms

series28.0ms

simplify47.0ms

prune150.0ms

localize12.0ms

rewrite36.0ms

series37.0ms

simplify84.0ms

prune211.0ms

localize11.0ms

rewrite56.0ms

series106.0ms

simplify53.0ms

prune134.0ms

localize18.0ms

rewrite147.0ms

series131.0ms

simplify99.0ms

prune386.0ms

regimes620.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling