Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
16.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 134

Calls

3 calls:

39.0ms	(- (/ (+ 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)))))

series210.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	577	1994
1	2331	1536
2	5001	1469

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)
0.2b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
16.9b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite72.0ms

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:

43.0ms	(- (/ 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))

series207.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
63.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
58.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify100.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (55.0ms)

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

prune521.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))) x)
0.0b	(fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))
0.1b	(* 0.02505083423776644 (pow x 2))
0.2b	(/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
56×	`add-cube-cbrt`
47×	`times-frac`
39×	`prod-diff`
13×	`add-exp-log` `fma-neg`
8×	`associate-r` `add-cbrt-cube`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`associate-l` `prod-exp` `associate-/r` `associate-/l` `difference-of-squares`
2×	`div-exp` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `diff-log` `1-exp` `pow-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `inv-pow`

Counts

4 → 143

Calls

4 calls:

14.0ms	(- (/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))) x)
0.0ms	(fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))
6.0ms	(* 0.02505083423776644 (pow x 2))
2.0ms	(/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2)))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))) x)
26.0ms	(fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2))))
30.0ms	(* 0.02505083423776644 (pow x 2))
50.0ms	(/ 1 (fma x 0.37920088514346545 (- 0.4333638132548656 (* 0.02505083423776644 (pow x 2)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	437	1595
1	1678	1186
2	5002	1184

prune263.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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	15	6
1	15	6

end0.0ms

sample693.0ms

Algorithm

intervals

Results

599.0ms

8000×

body

valid