Details

sample19.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ 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:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune182.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize9.0ms

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))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite41.0ms

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:

14.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series215.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	545	1469
1	2439	1265
2	5001	1255

prune232.0ms

Filtered

143 candidates to 86 candidates (60.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	144	4	148

Merged error: 0.0b

Counts

148 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
12×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
3×	`div-exp` `associate-l` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `flip3--` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 90

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
10.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
42.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
60.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
24.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	418	713
1	1672	643
2	5002	635

prune183.0ms

Filtered

102 candidates to 67 candidates (65.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
27.6b	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `div-inv`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `rem-cbrt-cube`

Counts

4 → 137

Calls

4 calls:

8.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

series329.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
65.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
109.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	554	1540
1	2550	1441
2	5001	1433

prune254.0ms

Filtered

149 candidates to 86 candidates (57.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	149	4	153

Merged error: 0.0b

Counts

153 → 4

regimes122.0ms

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

sample481.0ms

Algorithm

intervals

Results

305.0ms

8000×

body

valid