Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

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: 3.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
33×	`times-frac`
23×	`associate-l`
21×	`add-cube-cbrt` `unswap-sqr`
20×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

3 → 100

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1.1283791670955126 (exp z))
67.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
81.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	320	875
1	1091	839
2	5001	838

prune203.0ms

Filtered

109 candidates to 71 candidates (65.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 1.5b

Counts

110 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

340×	`add-sqr-sqrt`
276×	`times-frac`
275×	`*-un-lft-identity`
122×	`add-cube-cbrt`
79×	`associate-l`
76×	`distribute-lft-out--`
73×	`unswap-sqr`
72×	`difference-of-squares`
43×	`associate-/r*`
30×	`associate-/l*`
20×	`add-exp-log`
19×	`associate-/r/`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `remove-double-div` `add-log-exp`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `associate-r` `flip--`
2×	`rec-exp` `1-exp` `prod-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 297

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
28.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series229.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
84.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify121.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	797	3206
1	3641	2961
2	5001	2762

prune369.0ms

Filtered

309 candidates to 137 candidates (44.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	314	2	316

Merged error: 0b

Counts

316 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
48×	`times-frac`
35×	`add-cube-cbrt`
18×	`add-exp-log`
15×	`difference-of-squares`
14×	`associate-/r*`
13×	`associate-r` `add-cbrt-cube`
12×	`unswap-sqr`
10×	`associate-/l*` `distribute-lft-out--`
9×	`associate-*r/`
8×	`associate-l`
7×	`pow1`
6×	`div-exp` `add-log-exp`
4×	`clear-num`
3×	`cbrt-undiv` `frac-2neg` `prod-exp` `div-inv`
2×	`flip3--` `associate-/r/` `un-div-inv` `flip--` `cbrt-unprod`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 141

Calls

4 calls:

15.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
23.0ms	(/ (exp z) y)
66.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
28.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	439	1034
1	1771	964
2	5001	922

prune227.0ms

Filtered

153 candidates to 94 candidates (61.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	153	2	155

Merged error: 0b

Counts

155 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
33×	`times-frac`
23×	`associate-l`
21×	`add-cube-cbrt` `unswap-sqr`
20×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

3 → 100

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	320	875
1	1091	839
2	5001	838

prune184.0ms

Filtered

109 candidates to 71 candidates (65.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Merged error: 0b

Counts

111 → 2

regimes72.0ms

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

sample440.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid