Details

analyze2.2s

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

sample50.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

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: 29.1b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite62.0ms

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:

7.0ms	(* (+ (* x y) z) y)
13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
13.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series192.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* x y) z) y)
22.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
145.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4943	2307
1	4943	2307

prune214.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Merged error: 28.0b

Counts

104 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
17.5b	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
17.5b	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
24.4b	(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

12.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
14.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
12.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
63.0ms	(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
55.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
56.0ms	(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
142.0ms	(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

simplify50.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5015	6032

prune213.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	131	9	140

Merged error: 28.0b

Counts

140 → 9

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))))
5.9b	(sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
5.9b	(sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))
12.9b	(/ (+ (* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

28.0ms	(* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))))
10.0ms	(sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
10.0ms	(sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))
39.0ms	(/ (+ (* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series292.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))))
100.0ms	(sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
24.0ms	(sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))
145.0ms	(/ (+ (* (sqrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (* y (sqrt (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify34.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5099	3022

prune208.0ms

Filtered

78 candidates to 102 candidates (-30.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	102	9	111

Merged error: 28.0b

Counts

111 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* y 27464.7644705) 230661.510616) y)
24.2b	(/ (+ (* (+ (* y 27464.7644705) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite52.0ms

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:

9.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
6.0ms	(* (+ (* y 27464.7644705) 230661.510616) y)
23.0ms	(/ (+ (* (+ (* y 27464.7644705) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series79.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
18.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
6.0ms	(* (+ (* y 27464.7644705) 230661.510616) y)
47.0ms	(/ (+ (* (+ (* y 27464.7644705) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5000	1883

prune141.0ms

Filtered

83 candidates to 103 candidates (-24.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	2	3	5
Picked	1	0	1
Done	0	3	3
Total	100	12	112

Merged error: 27.7b

Counts

112 → 12

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 27.9b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

745.0ms	8000×	body	80	valid
21.0ms	239×	body	80	invalid

Details

analyze2.2s

sample50.0ms

simplify147.0ms

prune11.0ms

localize23.0ms

rewrite62.0ms

series192.0ms

simplify50.0ms

prune214.0ms

localize36.0ms

rewrite106.0ms

series306.0ms

simplify50.0ms

prune213.0ms

localize34.0ms

rewrite89.0ms

series292.0ms

simplify34.0ms

prune208.0ms

localize16.0ms

rewrite52.0ms

series79.0ms

simplify48.0ms

prune141.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling