Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4505
12	1018
11	659
10	458
9	359
8	296
7	201
6	156
5	140
4	126
3	94
2	60
1	31
0	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
0.0b	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
12.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

135×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
123×	`add-cube-cbrt`
117×	`prod-diff`
101×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
11×	`div-inv`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `sub-neg` `associate-l` `associate-/l`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

34.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
80.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
1.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
5.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series306.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
105.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
36.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
96.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.2s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	2142
1	659
0	300

prune857.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* 0.70711 (- x)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
12.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `unsub-neg` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `fma-udef`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* 0.70711 (- x)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
14.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
8.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series352.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* 0.70711 (- x)))
49.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
108.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
91.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1788
1	414
0	169

prune549.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3)
12.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
15.6b	(cbrt (pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `add-cbrt-cube` `add-exp-log`
8×	`cbrt-prod`
7×	`pow1`
4×	`cube-div` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cube-mult` `cbrt-div` `unpow-prod-down` `pow-pow` `flip3-+` `unpow3` `cube-prod` `pow-exp` `flip-+` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `div-exp` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
31.0ms	(pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3)
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
3.0ms	(cbrt (pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3))

series392.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
140.0ms	(pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3)
97.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
121.0ms	(cbrt (pow (* 0.70711 (+ (- x) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) 3))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1998
1	461
0	182

prune607.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample914.0ms

Algorithm

intervals

Results

730.0ms

8000×

body

valid