Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

3.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
43.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	592	2099
1	2450	1603
2	5001	1541

prune360.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
15.3b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

8.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
12.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
48.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
63.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	476	850
1	2214	715
2	5001	679

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
49.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	158	262
1	544	231
2	2532	213
3	5003	210

prune123.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample338.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid