Details

analyze1.6s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.5163%

Guaranteed chance to sample good point: 62.098815%

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	31×	body	80	invalid

simplify19.0ms

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: 5.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
5.4b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite48.0ms

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

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
9.0ms	(- (/ y z) (/ t (- 1.0 z)))
18.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

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

prune155.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 1.0b

Counts

99 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.2b	(* t (/ 1 (- 1.0 z)))
5.4b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 125

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 z))
6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 z))
11.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms	(* t (/ 1 (- 1.0 z)))
16.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	495	825
1	2159	729
2	5003	687

prune162.0ms

Filtered

82 candidates to 137 candidates (-67.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	139	10	149

Merged error: 0.0b

Counts

149 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
9.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
9.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
9.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
33×	`cbrt-div`
30×	`cbrt-prod`
24×	`times-frac`
18×	`associate-*r/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `frac-sub` `flip--`
9×	`pow1` `add-exp-log` `frac-times`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

43.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
21.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
38.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
39.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify81.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	433	1357
1	1030	1273
2	2810	1253
3	5001	1220

prune277.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	12	119

Merged error: 0.0b

Counts

119 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
3.2b	(* (* (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))))
28.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
23.0ms	(cbrt x)
48.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
20.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (44.0ms)

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

prune96.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

regimes710.0ms

Accuracy

93.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	52
1	48	52

end0.0ms

analyze1.6s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.5163%

Guaranteed chance to sample good point: 62.098815%

sample612.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
50.0ms	1291×	body	80	invalid

Details

analyze1.6s

sample24.0ms

simplify19.0ms

prune3.0ms

localize8.0ms

rewrite48.0ms

series33.0ms

simplify46.0ms

prune155.0ms

localize9.0ms

rewrite34.0ms

series35.0ms

simplify59.0ms

prune162.0ms

localize12.0ms

rewrite106.0ms

series163.0ms

simplify81.0ms

prune277.0ms

localize11.0ms

rewrite56.0ms

series113.0ms

simplify53.0ms

prune96.0ms

regimes710.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.6s

sample612.0ms

Profiling