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

sample45.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
1.0ms	8×	body	80	invalid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune11.0ms

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: 28.6b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite61.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series216.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms	(* (+ (* x y) z) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
149.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify77.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4943	2307
1	4943	2307

prune274.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Merged error: 27.6b

Counts

104 → 11

localize28.0ms

Local error

Found 4 expressions with local error:

10.1b	(cbrt (+ (* x y) z))
10.1b	(cbrt (+ (* x y) z))
10.1b	(cbrt (+ (* x y) z))
28.0b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* y (cbrt (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
44.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* y (cbrt (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series246.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* x y) z))
30.0ms	(cbrt (+ (* x y) z))
30.0ms	(cbrt (+ (* x y) z))
153.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* y (cbrt (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4907	1936
1	4907	1936

prune166.0ms

Filtered

68 candidates to 82 candidates (-20.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	81	12	93

Merged error: 27.6b

Counts

93 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log` `*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-cbrt-cube`
12×	`pow1` `associate-l`
11×	`times-frac`
7×	`prod-exp`
6×	`flip3-+` `associate-*l/` `flip-+` `unswap-sqr`
5×	`cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`associate-*r/`
2×	`frac-times` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `un-div-inv` `div-inv`

Counts

4 → 104

Calls

4 calls:

12.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
7.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
8.0ms	(* (+ (* x y) z) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
146.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4982	2463
1	4982	2463

prune261.0ms

Filtered

86 candidates to 116 candidates (-34.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	116	12	128

Merged error: 27.6b

Counts

128 → 12

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)))
28.0b	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite98.0ms

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:

11.0ms	(* y (+ (* x y) z))
17.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
34.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
26.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

series391.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
140.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
234.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	6447
1	4957	6447

prune219.0ms

Filtered

121 candidates to 171 candidates (-41.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	171	12	183

Merged error: 27.6b

Counts

183 → 12

regimes1.1s

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	48
1	45	48

end0.0ms

sample1.1s

Algorithm

intervals

Results

715.0ms	8000×	body	80	valid
20.0ms	240×	body	80	invalid

Details

analyze2.0s

sample45.0ms

simplify142.0ms

prune11.0ms

localize22.0ms

rewrite61.0ms

series216.0ms

simplify77.0ms

prune274.0ms

localize28.0ms

rewrite58.0ms

series246.0ms

simplify50.0ms

prune166.0ms

localize23.0ms

rewrite64.0ms

series186.0ms

simplify58.0ms

prune261.0ms

localize23.0ms

rewrite98.0ms

series391.0ms

simplify75.0ms

prune219.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling