Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

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

series180.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
34.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`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` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

23.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series222.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
46.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	574	1523
1	2549	1310
2	5001	1298

prune330.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.1b	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-cube-cbrt`
13×	`associate-r` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

3.0ms	(/ (exp z) y)
22.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
11.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (exp z) y)
43.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
66.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	470	989
1	1831	936
2	5001	842

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
2.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
39.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	376	654
1	1472	601
2	5001	598

prune252.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes115.0ms

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	16	7
1	16	7

end0.0ms

sample407.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid