Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify3.4s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)
16.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite140.0ms

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:

36.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
76.0ms	(* 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)
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series331.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
111.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
50.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
89.0ms	(/ (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

prune897.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* (fma 0.27061 x 2.30753) 0.70711)
16.7b	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`fma-def`
6×	`pow1` `times-frac` `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`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `unsub-neg` `pow-prod-down` `-commutative` `flip-+` `fma-udef` `associate-/l` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

27.0ms	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
11.0ms	(* (fma 0.27061 x 2.30753) 0.70711)
16.0ms	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0))

series339.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(* (fma 0.27061 x 2.30753) 0.70711)
139.0ms	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify942.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1403
1	332
0	136

prune440.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))

0.1b

(fma x (fma 0.04481 x 0.99229) 1.0)

16.7b

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`fma-def`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`distribute-rgt-neg-out` `div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `flip-+` `fma-udef`

Counts

3 → 67

Calls

3 calls:

15.0ms

(+ (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))

0.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

4.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series256.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms

(+ (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))

44.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

120.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4386
2	879
1	269
0	117

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
16.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
22.5b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
10.0ms	(pow (/ (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))
5.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series386.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
131.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
98.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
111.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify1.5s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
2	2870
1	550
0	188

prune785.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
3	23
2	22
1	18
0	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid