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

sample44.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
1.0ms	7×	body	80	invalid

simplify143.0ms

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: 30.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

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

series227.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ (* (+ y a) y) b) y)
22.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
14.0ms	(* (+ (* x y) z) y)
183.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4980	2211
1	4980	2211

prune222.0ms

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: 29.3b

Counts

104 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b	(* (+ (* x y) z) y)
0.3b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.1b	(* (+ (* (+ (* (+ (* (+ (* 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

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-+` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `associate-/r` `-commutative` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 117

Calls

4 calls:

12.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
7.0ms	(* (+ (* x y) z) y)
13.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
29.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
9.0ms	(* (+ (* x y) z) y)
25.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
150.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify76.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4967	2935
1	4967	2935

prune195.0ms

Filtered

88 candidates to 129 candidates (-46.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	129	10	139

Merged error: 29.3b

Counts

139 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b	(* y (+ (* x y) z))
0.5b	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
30.0b	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite73.0ms

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:

12.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
6.0ms	(* y (+ (* x y) z))
24.0ms	(/ 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))

series387.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
6.0ms	(* y (+ (* x y) z))
136.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
229.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5114	6497

prune265.0ms

Filtered

119 candidates to 171 candidates (-43.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	172	9	181

Merged error: 29.3b

Counts

181 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* y (+ (* y (+ y a)) b)) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite37.0ms

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

series229.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
166.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* y (+ (* y (+ y a)) b)) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4913	1588
1	4913	1588

prune81.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 29.3b

Counts

85 → 9

regimes1.0s

Accuracy

0% (1.2b 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	45	35
1	45	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

690.0ms	8000×	body	80	valid
18.0ms	220×	body	80	invalid

Details

analyze2.0s

sample44.0ms

simplify143.0ms

prune11.0ms

localize23.0ms

rewrite58.0ms

series227.0ms

simplify49.0ms

prune222.0ms

localize26.0ms

rewrite64.0ms

series201.0ms

simplify76.0ms

prune195.0ms

localize26.0ms

rewrite73.0ms

series387.0ms

simplify73.0ms

prune265.0ms

localize27.0ms

rewrite37.0ms

series229.0ms

simplify67.0ms

prune81.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling