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

Filtered

1 candidates to 0 candidates (100.0%)

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: 3.2b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5001	551

prune120.0ms

Filtered

83 candidates to 63 candidates (24.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

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/`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

5.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	430	1292
1	1414	1209
2	5001	1194

prune269.0ms

Filtered

123 candidates to 102 candidates (17.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

6.0ms

(- x (/ 1 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- x (/ 1 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	82	88
1	229	82
2	1594	79
3	5001	79

prune17.0ms

Filtered

20 candidates to 12 candidates (40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	20	3	23

Merged error: 0b

Counts

23 → 3

regimes274.0ms

Accuracy

92.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20
1	27	20

end0.0ms

sample640.0ms

Algorithm

intervals

Results

337.0ms

8000×

body

valid

Details

sample22.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite25.0ms

series49.0ms

simplify38.0ms

prune120.0ms

localize12.0ms

rewrite26.0ms

series105.0ms

simplify44.0ms

prune269.0ms

localize3.0ms

rewrite7.0ms

series3.0ms

simplify81.0ms

prune17.0ms

regimes274.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample640.0ms

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