Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 3.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite38.0ms

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:

19.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

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

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))
8.6b	(/ (- (* 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` `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))
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)

series191.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify76.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (58.0ms)

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

prune319.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (- (* 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))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
29×	`add-cube-cbrt`
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` `div-inv`
3×	`cbrt-undiv` `fma-def` `associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 116

Calls

4 calls:

20.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
3.0ms	(/ (exp z) y)
14.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series134.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(/ (exp z) y)
61.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	447	788
1	1789	716
2	5002	710

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series260.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
69.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify136.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	252	1024
1	840	944
2	4046	931
3	5001	922

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes84.0ms

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

sample740.0ms

Algorithm

intervals

Results

546.0ms

8000×

body

valid