Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4459
13	1983
12	774
11	490
10	362
9	301
8	255
7	182
6	143
5	133
4	119
3	91
2	60
1	31
0	16

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

72.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
0.0ms	(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))

series249.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
38.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
102.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5009
3	3172
2	841
1	297
0	143

prune509.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
16.8b	(cbrt (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*l/` `div-inv`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

8.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
8.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
8.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
48.0ms	(cbrt (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
117.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
82.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
113.0ms	(cbrt (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))))

simplify2.8s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
4	4202
3	1240
2	461
1	192
0	110

prune884.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

14.0b	(* (fma x 0.27061 2.30753) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
14.1b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.5b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-cbrt-cube` `add-exp-log`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
9×	`pow1` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `associate-/r` `div-exp` `associate-/l`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-l` `pow-prod-down`
2×	`clear-num` `frac-2neg` `div-inv`
1×	`frac-times` `pow1/3` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

43.0ms	(* (fma x 0.27061 2.30753) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
6.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
6.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series471.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (fma x 0.27061 2.30753) (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
86.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
86.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
197.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1367
1	465
0	197

prune746.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (* (- (* (/ (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)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

46.0ms	(/ (* (- (* (/ (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)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
4.0ms	(/ (fma 0.27061 x 2.30753) (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))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ (* (- (* (/ (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)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
94.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
86.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
90.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1343
1	389
0	155

prune673.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample823.0ms

Algorithm

intervals

Results

686.0ms

8000×

body

valid