Details

sample45.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify3.8s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite116.0ms

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:

25.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
63.0ms	(* 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)
8.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series335.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
103.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
52.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
84.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.3s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	2142
1	659
0	300

prune963.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)))
0.0b	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
0.3b	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(* 0.70711 (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)))
0.0ms	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
4.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* 0.70711 (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)))
93.0ms	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
35.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
63.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

simplify751.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1113
1	322
0	153

prune533.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.6b	(* (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

53×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
20×	`pow-prod-down`
18×	`times-frac`
14×	`associate-*l/`
12×	`sqrt-div`
10×	`add-cbrt-cube` `pow1/2` `add-exp-log` `pow-prod-up`
6×	`associate-/r` `flip3--` `pow-sqr` `flip--` `associate-/l`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
142.0ms	(* (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))
7.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
7.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series402.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
159.0ms	(* (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (sqrt (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))
85.0ms	(/ (fma 0.27061 x 2.30753) (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))

simplify908.0ms

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	1430
1	375
0	174

prune818.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	18
1	18
0	15

end0.0ms

sample827.0ms

Algorithm

intervals

Results

636.0ms

8000×

body

valid