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

sample45.0ms

Algorithm

intervals

Results

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

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

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: 31.1b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite70.0ms

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)
14.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(* (+ (* (+ (* 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))

series175.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* x y) z) y)
8.0ms	(* (+ (* (+ y a) y) b) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
143.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5050	2165

prune234.0ms

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: 29.8b

Counts

104 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ y a)) b))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite67.0ms

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:

9.0ms	(* y (+ (* y (+ y a)) b))
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
14.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (+ (* y (+ y a)) b))
17.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
147.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify77.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5072	2923

prune203.0ms

Filtered

90 candidates to 129 candidates (-43.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	129	10	139

Merged error: 29.8b

Counts

139 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

21.6b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
21.6b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
21.6b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
30.3b	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite64.0ms

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:

13.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
9.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
9.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
32.0ms	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series267.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
48.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
48.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
123.0ms	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4951	2110
1	4951	2110

prune213.0ms

Filtered

70 candidates to 76 candidates (-8.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Merged error: 29.8b

Counts

86 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
30.3b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.3b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.3b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

22.0ms	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
27.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
27.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))

series470.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
109.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
108.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
110.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))

simplify102.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4944	5657
1	4944	5657

prune382.0ms

Filtered

111 candidates to 129 candidates (-16.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	129	10	139

Merged error: 29.8b

Counts

139 → 10

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 (1.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

692.0ms	8000×	body	80	valid
21.0ms	264×	body	80	invalid

Details

analyze1.9s

sample45.0ms

simplify144.0ms

prune11.0ms

localize22.0ms

rewrite70.0ms

series175.0ms

simplify48.0ms

prune234.0ms

localize26.0ms

rewrite67.0ms

series197.0ms

simplify77.0ms

prune203.0ms

localize30.0ms

rewrite64.0ms

series267.0ms

simplify60.0ms

prune213.0ms

localize32.0ms

rewrite111.0ms

series470.0ms

simplify102.0ms

prune382.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling