Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

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: 2.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ 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:

8.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify137.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	287	523
1	981	488
2	4083	484
3	5002	484

prune98.0ms

Filtered

49 candidates to 62 candidates (-26.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 131

Calls

4 calls:

13.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
7.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series56.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
14.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
15.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	545	1467
1	2439	1263
2	5001	1253

prune128.0ms

Filtered

86 candidates to 143 candidates (-66.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	144	3	147

Merged error: 0b

Counts

147 → 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))

rewrite28.0ms

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:

10.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series34.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
17.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
5.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	606
1	1621	546
2	5001	541

prune81.0ms

Filtered

56 candidates to 87 candidates (-55.4%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.2b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite24.0ms

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:

2.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
16.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	422	884
1	1863	788
2	5001	756

prune100.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

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

regimes249.0ms

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	15	6
1	15	6

end0.0ms

sample576.0ms

Algorithm

intervals

Results

302.0ms

8000×

body

valid

Details

sample22.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite23.0ms

series44.0ms

simplify137.0ms

prune98.0ms

localize11.0ms

rewrite35.0ms

series56.0ms

simplify65.0ms

prune128.0ms

localize8.0ms

rewrite28.0ms

series34.0ms

simplify46.0ms

prune81.0ms

localize9.0ms

rewrite24.0ms

series62.0ms

simplify57.0ms

prune100.0ms

regimes249.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample576.0ms

Profiling