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	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
11.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 0.99229 (* x 0.04481))
33.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

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

prune252.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

49.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
2.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series227.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
68.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
68.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify102.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	827	4586
1	3031	3152
2	5001	3069

prune524.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
0.1b	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
16.4b	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
160×	`cbrt-prod`
142×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
78×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
14×	`div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `associate-/r/` `rem-cbrt-cube` `inv-pow`

Counts

4 → 284

Calls

4 calls:

14.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
4.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
2.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
4.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

series300.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
91.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
69.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
69.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

simplify101.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	632	3276
1	2889	2662
2	5002	2628

prune458.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`expm1-log1p` `pow-flip` `associate-/r/` `fma-udef` `inv-pow` `expm1-udef`

Counts

4 → 128

Calls

4 calls:

0.0ms	(expm1 (log1p (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
2.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series387.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(expm1 (log1p (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))))
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
69.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
66.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	472	1230
1	1970	1096
2	5003	1018

prune339.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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	18	8
1	18	8

end0.0ms

sample347.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid