Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	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: 2.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite18.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	501
1	1077	461
2	5001	459

prune180.0ms

Filtered

76 candidates to 59 candidates (77.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.7b

Counts

77 → 6

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))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

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` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune274.0ms

Filtered

158 candidates to 98 candidates (62.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	161	3	164

Merged error: 0b

Counts

164 → 3

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))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 116

Calls

4 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series150.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
16.0ms	(/ (exp z) y)
67.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	435	792
1	1832	713
2	5002	692

prune226.0ms

Filtered

128 candidates to 89 candidates (69.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
4.1b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
33×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `fma-neg` `pow1/3` `diff-log` `div-sub` `prod-diff` `associate-/r/`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
16.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
189.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
94.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	622	1704
1	3004	1522
2	5002	1490

prune412.0ms

Filtered

151 candidates to 129 candidates (85.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Merged error: 0b

Counts

154 → 3

regimes90.0ms

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

sample479.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid