Details

sample58.0ms

Algorithm

intervals

Results

24.0ms

269×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

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: 29.6b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite72.0ms

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:

17.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* 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))

series219.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
11.0ms	(* (+ (* (+ y a) y) b) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
166.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4955	2349
1	4955	2349

prune282.0ms

Filtered

89 candidates to 103 candidates (-15.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 28.5b

Counts

104 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ y a)) b))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
28.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite76.0ms

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:

10.0ms	(* y (+ (* y (+ y a)) b))
14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
15.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
33.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (+ (* y (+ y a)) b))
17.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
165.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4970	2923
1	4970	2923

prune241.0ms

Filtered

89 candidates to 129 candidates (-44.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	129	14	143

Merged error: 28.5b

Counts

143 → 14

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
28.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite45.0ms

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:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
1.0ms	(cbrt y)
38.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series260.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt y)
24.0ms	(cbrt y)
28.0ms	(cbrt y)
183.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify30.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	6376	1597

prune163.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	76	14	90

Merged error: 28.5b

Counts

90 → 14

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
28.6b	(* (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`add-cube-cbrt` `associate-r`
13×	`add-exp-log`
11×	`times-frac`
9×	`cbrt-prod` `add-cbrt-cube`
6×	`pow1`
4×	`prod-exp` `add-log-exp`
3×	`flip3-+` `pow1/3` `associate-l` `flip-+` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
42.0ms	(* (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
27.0ms	(cbrt y)
24.0ms	(cbrt y)
140.0ms	(* (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4897	1742
1	4897	1742

prune108.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	87	14	101

Merged error: 28.5b

Counts

101 → 14

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.4b against oracle of 28.3b and baseline of 29.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.5s

Algorithm

intervals

Results

736.0ms

8235×

body

valid

Details

sample58.0ms

simplify118.0ms

prune11.0ms

localize23.0ms

rewrite72.0ms

series219.0ms

simplify55.0ms

prune282.0ms

localize24.0ms

rewrite76.0ms

series219.0ms

simplify55.0ms

prune241.0ms

localize27.0ms

rewrite45.0ms

series260.0ms

simplify30.0ms

prune163.0ms

localize29.0ms

rewrite49.0ms

series216.0ms

simplify62.0ms

prune108.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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