Details

analyze694.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	59×	body	80	invalid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 3.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- 1.0 z))
3.2b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`times-frac`
14×	`add-cube-cbrt`
10×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1`
3×	`associate-r/` `associate-l` `associate-/l`
2×	`sub-neg` `flip3--` `associate-/r/` `flip--` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 67

Calls

2 calls:

5.0ms	(/ t (- 1.0 z))
25.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series21.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4939	784
1	4939	784

prune119.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	9	74

Merged error: 1.4b

Counts

74 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.3b	(/ 1 (/ (- 1.0 z) t))
3.2b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
138×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/r*`
19×	`distribute-lft-out--`
18×	`add-exp-log`
16×	`associate-r`
12×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
7×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv`
3×	`associate-r/` `associate-l*` `add-log-exp`
2×	`sub-neg` `rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `frac-sub` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 174

Calls

3 calls:

8.0ms	(/ (- 1.0 z) t)
8.0ms	(/ 1 (/ (- 1.0 z) t))
43.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series25.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (- 1.0 z) t)
5.0ms	(/ 1 (/ (- 1.0 z) t))
16.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	2072
1	4976	2072

prune203.0ms

Filtered

114 candidates to 183 candidates (-60.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	183	9	192

Merged error: 1.4b

Counts

192 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
21.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
59.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4977	1116
1	4977	1116

prune174.0ms

Filtered

64 candidates to 78 candidates (-21.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	77	10	87

Merged error: 1.4b

Counts

87 → 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))))))
5.3b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite102.0ms

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:

44.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
35.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
39.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4916	1999
1	4916	1999

prune217.0ms

Filtered

85 candidates to 109 candidates (-28.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	109	10	119

Merged error: 1.4b

Counts

119 → 10

regimes469.0ms

Accuracy

0% (3.8b remaining)

Error of 4.9b against oracle of 1.1b and baseline of 4.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms

sample646.0ms

Algorithm

intervals

Results

313.0ms	8000×	body	80	valid
69.0ms	1777×	body	80	invalid

Details

analyze694.0ms

sample23.0ms

simplify199.0ms

prune7.0ms

localize7.0ms

rewrite32.0ms

series21.0ms

simplify44.0ms

prune119.0ms

localize11.0ms

rewrite68.0ms

series25.0ms

simplify53.0ms

prune203.0ms

localize12.0ms

rewrite84.0ms

series189.0ms

simplify48.0ms

prune174.0ms

localize12.0ms

rewrite102.0ms

series156.0ms

simplify60.0ms

prune217.0ms

regimes469.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample646.0ms

Profiling