Details

analyze1.9s

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

sample44.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	6×	body	80	invalid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5273	33

prune17.0ms

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: 27.7b

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) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
27.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite59.0ms

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)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series188.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
143.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5251	2307

prune254.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 27.1b

Counts

104 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* x y) z))
0.1b	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
0.2b	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
27.8b	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite76.0ms

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))
28.0ms	(/ 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))

series383.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
139.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
227.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify85.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4989	6447
1	4989	6447

prune292.0ms

Filtered

121 candidates to 171 candidates (-41.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	173	8	181

Merged error: 27.1b

Counts

181 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ (* y x) z)) 27464.7644705))
0.1b	(* y (+ (* y x) z))
0.2b	(/ 1 (* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t))))
27.9b	(* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
21×	`associate-r`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt` `div-exp` `prod-exp`
14×	`times-frac`
13×	`pow1`
9×	`rec-exp` `1-exp` `associate-l`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-*r/` `cbrt-unprod`
5×	`cbrt-undiv` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `un-div-inv` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 130

Calls

4 calls:

10.0ms	(* y (+ (* y (+ (* y x) z)) 27464.7644705))
7.0ms	(* y (+ (* y x) z))
29.0ms	(/ 1 (* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t))))
33.0ms	(* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (+ (* y (+ (* y x) z)) 27464.7644705))
7.0ms	(* y (+ (* y x) z))
134.0ms	(/ 1 (* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t))))
228.0ms	(* (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y x) z)) 27464.7644705)) 230661.510616)) t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	3520
1	4976	3520

prune204.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Merged error: 27.1b

Counts

150 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
27.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
14.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
32.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
23.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
144.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5006	2861

prune167.0ms

Filtered

90 candidates to 127 candidates (-41.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	127	8	135

Merged error: 27.1b

Counts

135 → 8

regimes973.0ms

Accuracy

0% (0.8b remaining)

Error of 28.6b against oracle of 27.8b and baseline of 28.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	35
1	100	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

709.0ms	8000×	body	80	valid
23.0ms	225×	body	80	invalid

Details

analyze1.9s

sample44.0ms

simplify60.0ms

prune17.0ms

localize22.0ms

rewrite59.0ms

series188.0ms

simplify46.0ms

prune254.0ms

localize24.0ms

rewrite76.0ms

series383.0ms

simplify85.0ms

prune292.0ms

localize25.0ms

rewrite84.0ms

series379.0ms

simplify67.0ms

prune204.0ms

localize27.0ms

rewrite66.0ms

series191.0ms

simplify65.0ms

prune167.0ms

regimes973.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling