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: 2.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4728	432
3	5001	432

prune149.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 2.1b

Counts

69 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series192.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
51.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	521	1391
1	2422	1259
2	5001	1188

prune227.0ms

Filtered

148 candidates to 87 candidates (58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `flip--` `inv-pow`

Counts

3 → 92

Calls

3 calls:

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

series101.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (exp z) y)
60.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
25.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	369	622
1	1531	570
2	5002	552

prune169.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
2.1b	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
2.6b	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
27×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 121

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
19.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
89.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
84.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	483	1264
1	2137	1124
2	5001	1105

prune330.0ms

Filtered

133 candidates to 90 candidates (67.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0b

Counts

136 → 3

regimes124.0ms

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

sample468.0ms

Algorithm

intervals

Results

303.0ms

8000×

body

valid