Details

sample18.0ms

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: 2.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite48.0ms

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:

12.0ms	(* 1.1283791670955126 (exp z))
16.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
64.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

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

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

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))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite83.0ms

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:

13.0ms	(* 1.1283791670955126 (exp z))
22.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
31.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series181.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
45.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
64.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (57.0ms)

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

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `prod-diff` `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` `associate-r/` `associate-l*` `associate-/r/`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

18.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
7.0ms	(/ (exp z) y)
34.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
17.0ms	(* 1.1283791670955126 (/ (exp z) y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
16.0ms	(/ (exp z) y)
58.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify72.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	644	1094
1	2837	805
2	5001	797

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
0.4b	(fma 1.1283791670955126 (exp z) (- (* y x)))
5.6b	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) (* y 1))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
20×	`prod-exp`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
17×	`add-cbrt-cube`
13×	`associate-l`
9×	`pow1`
8×	`1-exp` `div-exp`
6×	`cbrt-unprod`
4×	`rec-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `pow-prod-down` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-inv`
1×	`pow-flip` `frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 86

Calls

3 calls:

5.0ms	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
0.0ms	(fma 1.1283791670955126 (exp z) (- (* y x)))
29.0ms	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) (* y 1))

series179.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
50.0ms	(fma 1.1283791670955126 (exp z) (- (* y x)))
72.0ms	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) (* y 1))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	366	768
1	1408	642
2	5001	606

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	18	7
2	18	7

end0.0ms

sample479.0ms

Algorithm

intervals

Results

239.0ms

8001×

body

valid