Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample47.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
1.0ms	9×	body	80	invalid

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune12.0ms

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: 26.4b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

10.0ms	(* (+ (* (+ y a) y) b) y)
8.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series180.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* x y) z) y)
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
147.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5050	2165

prune260.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 25.4b

Counts

104 → 14

localize28.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (* y (+ (* x y) z)))
22.2b	(cbrt (* y (+ (* x y) z)))
22.2b	(cbrt (* y (+ (* x y) z)))
25.7b	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (* y (+ (* x y) z)))
7.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))
32.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series227.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (* y (+ (* x y) z)))
38.0ms	(cbrt (* y (+ (* x y) z)))
36.0ms	(cbrt (* y (+ (* x y) z)))
117.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify36.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4924	1891
1	4924	1891

prune197.0ms

Filtered

70 candidates to 76 candidates (-8.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	75	15	90

Merged error: 25.4b

Counts

90 → 15

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
25.7b	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
36.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series186.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
122.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4933	1588
1	4933	1588

prune165.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	77	14	91

Merged error: 25.4b

Counts

91 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* x y) z))
0.1b	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
0.3b	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
25.7b	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*r/` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
27.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
25.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

series390.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
137.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
237.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify74.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	6447
1	4957	6447

prune229.0ms

Filtered

121 candidates to 171 candidates (-41.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	171	14	185

Merged error: 25.4b

Counts

185 → 14

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.3b and baseline of 29.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	52
1	45	52

end0.0ms

sample1.1s

Algorithm

intervals

Results

711.0ms	8000×	body	80	valid
19.0ms	229×	body	80	invalid

Details

analyze2.0s

sample47.0ms

simplify148.0ms

prune12.0ms

localize23.0ms

rewrite57.0ms

series180.0ms

simplify52.0ms

prune260.0ms

localize28.0ms

rewrite51.0ms

series227.0ms

simplify36.0ms

prune197.0ms

localize27.0ms

rewrite41.0ms

series186.0ms

simplify61.0ms

prune165.0ms

localize23.0ms

rewrite75.0ms

series390.0ms

simplify74.0ms

prune229.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling