Details

analyze626.0ms

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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	69×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.9b	(* (- y x) (/ z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
12.0ms	(* (- y x) (/ z t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
11.0ms	(* (- y x) (/ z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5329	557

prune80.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (- y x) (/ z t)))
8.9b	(* (- y x) (/ z t))
8.9b	(* (- y x) (/ z t))
8.9b	(* (- y x) (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

5.0ms	(cbrt (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))

series71.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))
11.0ms	(* (- y x) (/ z t))
11.0ms	(* (- y x) (/ z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5046	1369

prune151.0ms

Filtered

103 candidates to 140 candidates (-35.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	140	9	149

Merged error: 0.0b

Counts

149 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (- y x) (/ z t)))
7.5b	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
8.9b	(* (- y x) (/ z t))
8.9b	(* (- y x) (/ z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

35×	`frac-times`
34×	`add-sqr-sqrt`
28×	`cbrt-div`
27×	`associate-*l/`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
16×	`associate-*r/`
14×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
10×	`associate-l`
8×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
21.0ms	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))

series138.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (* (- y x) (/ z t)))
63.0ms	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
19.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5489	1753

prune166.0ms

Filtered

97 candidates to 134 candidates (-38.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	133	10	143

Merged error: 0.0b

Counts

143 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (- y x) (/ z t)))
7.5b	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
7.5b	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x)))))
8.9b	(* (- y x) (/ z t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

189×	`cbrt-div`
115×	`frac-times`
66×	`flip3--` `flip--`
54×	`associate-*l/`
50×	`associate-*r/`
19×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 146

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
19.0ms	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
19.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x)))))
9.0ms	(* (- y x) (/ z t))

series142.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (* (- y x) (/ z t)))
36.0ms	(cbrt (* (* (- y x) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))
36.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ z t) (cbrt (- y x)))))
14.0ms	(* (- y x) (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5381	3732

prune198.0ms

Filtered

99 candidates to 158 candidates (-59.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	158	10	168

Merged error: 0.0b

Counts

168 → 10

regimes441.0ms

Accuracy

51% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	43
1	34	43

end0.0ms

sample618.0ms

Algorithm

intervals

Results

270.0ms	8000×	body	80	valid
69.0ms	2103×	body	80	invalid

Details

analyze626.0ms

sample22.0ms

simplify33.0ms

prune10.0ms

localize6.0ms

rewrite17.0ms

series22.0ms

simplify41.0ms

prune80.0ms

localize12.0ms

rewrite35.0ms

series71.0ms

simplify40.0ms

prune151.0ms

localize21.0ms

rewrite49.0ms

series138.0ms

simplify57.0ms

prune166.0ms

localize30.0ms

rewrite62.0ms

series142.0ms

simplify69.0ms

prune198.0ms

regimes441.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample618.0ms

Profiling