Details

sample51.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	60	16
3	95	16
4	126	16
5	140	16
6	156	16
7	201	16
8	297	16
9	359	16
10	442	16
11	643	16
12	998	16
13	4559	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
0.0b	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
14.3b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

37.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
83.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
6.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series280.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
94.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
30.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
86.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.6s

Counts

145 → 145

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	213	3586
1	464	3175
2	1607	2836
done	5001	2633

prune518.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
0.0b	(* (- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) x) 0.70711)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
14.3b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
31.0ms	(* (- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) x) 0.70711)
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
5.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series708.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
273.0ms	(* (- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) x) 0.70711)
54.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
95.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify825.0ms

Counts

86 → 86

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	169	1651
1	355	1490
2	1236	1362
done	5000	1356

prune400.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
0.1b	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
14.3b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
14.3b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`add-cube-cbrt` `*-un-lft-identity`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 248

Calls

4 calls:

13.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
23.0ms	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
3.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
3.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series590.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
104.0ms	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
124.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
118.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.4s

Counts

260 → 260

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	341	9407
1	808	8347
2	3123	7874
done	5001	7513

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
0.2b	(* (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (sqrt 0.70711))
14.3b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 175

Calls

4 calls:

1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
77.0ms	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
122.0ms	(* (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (sqrt 0.70711))
9.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
140.0ms	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
169.0ms	(* (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)) (sqrt 0.70711))
84.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.3s

Counts

187 → 187

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	328	6341
1	749	5522
2	3708	4866
done	5001	4530

prune544.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	16	18
done	16	18

end0.0ms

sample914.0ms

Algorithm

intervals

Results

719.0ms

8000×

body

valid