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	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 2.30753 (* x 0.27061))
31.0ms	(+ 0.99229 (* x 0.04481))
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	421	651
1	1810	561
2	5001	544

prune243.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.7b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.7b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `sqrt-div` `add-cbrt-cube`
6×	`associate-/l*`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 126

Calls

4 calls:

5.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
99.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
80.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
78.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	524	1517
1	2115	1402
2	5001	1370

prune382.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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	20	8
1	20	8

end0.0ms

sample351.0ms

Algorithm

intervals

Results

253.0ms

8000×

body

valid