Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite147.0ms

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:

39.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
81.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
6.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series346.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (/ (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))
48.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
118.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.6s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	2142
1	659
0	300

prune961.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

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:

5.0ms	(* 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))

series308.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* 0.70711 (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)))
87.0ms	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
42.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
57.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1113
1	322
0	153

prune509.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize136.0ms

Local error

Found 4 expressions with local error:

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))
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
19.8b	(/ (* (- (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (* x x) x)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
10×	`associate-/l*`
8×	`associate-/r/`
6×	`frac-add`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-times` `associate-*r/` `associate-/l/`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

4 → 120

Calls

4 calls:

4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
164.0ms	(/ (* (- (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (* x x) x)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
105.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
101.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
356.0ms	(/ (* (- (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (* x x) x)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))))

simplify3.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	3265
1	597
0	201

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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

sample1.0s

Algorithm

intervals

Results

790.0ms

8000×

body

valid