Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 53

Calls

3 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
8.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5202	893

prune96.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`add-cube-cbrt` `times-frac`
13×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
3×	`div-exp` `associate-l` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+` `inv-pow`

Counts

3 → 78

Calls

3 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
5.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	1012
1	4962	1012

prune93.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
0.2b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
1.0b	(- (* 1.1283791670955126 (exp z)) (* y x))
5.8b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 94

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
10.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))))
20.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
21.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	1403
1	4957	1403

prune111.0ms

Filtered

71 candidates to 106 candidates (-49.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x)))
5.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
5.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
38.8b	(/ (+ (pow (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) 3) (pow x 3)) (+ (* x x) (* y (/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x))))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
65×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
21×	`associate-/l*`
20×	`distribute-lft-out`
16×	`unpow-prod-down` `cube-prod`
12×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-cubes` `flip--` `div-inv` `associate-/l/` `distribute-lft-out--` `add-log-exp`
2×	`flip3-+` `flip-+`
1×	`div-sub`

Counts

4 → 157

Calls

4 calls:

16.0ms	(/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
34.0ms	(/ (+ (pow (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) 3) (pow x 3)) (+ (* x x) (* y (/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x)))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* y x)))
1.2s	(/ (+ (pow (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) 3) (pow x 3)) (+ (* x x) (* y (/ (- (/ y (- (* 1.1283791670955126 (exp z)) (* y x))) x) (- (* 1.1283791670955126 (exp z)) (* y x))))))

simplify90.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	6038
1	4965	6038

prune357.0ms

Filtered

122 candidates to 169 candidates (-38.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	169	3	172

Merged error: 0b

Counts

172 → 3

regimes279.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample648.0ms

Algorithm

intervals

Results

349.0ms

8000×

body

valid

Details

sample23.0ms

simplify3.0ms

prune3.0ms

localize8.0ms

rewrite23.0ms

series44.0ms

simplify42.0ms

prune96.0ms

localize8.0ms

rewrite29.0ms

series35.0ms

simplify61.0ms

prune93.0ms

localize10.0ms

rewrite26.0ms

series65.0ms

simplify65.0ms

prune111.0ms

localize20.0ms

rewrite67.0ms

series1.3s

simplify90.0ms

prune357.0ms

regimes279.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample648.0ms

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