Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify4.8s

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

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

185.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms	(+ 2.30753 (* x 0.27061))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
31.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
44.0ms	(+ 2.30753 (* x 0.27061))
125.0ms	(* x (+ 0.99229 (* x 0.04481)))
94.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.9s

Counts

204 → 204

Iterations

Iter	Nodes
done	5002
2	2536
1	887
0	366

prune783.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229))))
0.2b	(* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))))
28.5b	(cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

171×	`pow1`
77×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
21×	`*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac` `pow-sqr` `fma-udef`
6×	`pow-plus`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow2` `associate-/l*`
2×	`flip3-+` `cube-unmult` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip-+` `associate-/l/`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `swap-sqr` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 162

Calls

4 calls:

88.0ms	(* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229))))
45.0ms	(* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))
42.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))))
115.0ms	(cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229))))
54.0ms	(* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))
117.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))))
114.0ms	(cbrt (* (* x (fma x 0.04481 0.99229)) (* (* x (fma x 0.04481 0.99229)) (* x (fma x 0.04481 0.99229)))))

simplify2.2s

Counts

174 → 174

Iterations

Iter	Nodes
done	5002
2	2465
1	683
0	252

prune849.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (* (- x) 0.70711))
0.1b	(fma (fma x 0.04481 0.99229) x 1.0)
0.1b	(/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)
15.3b	(/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

73.0ms	(+ (/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (* (- x) 0.70711))
0.0ms	(fma (fma x 0.04481 0.99229) x 1.0)
7.0ms	(/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)
7.0ms	(/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

series322.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (* (- x) 0.70711))
40.0ms	(fma (fma x 0.04481 0.99229) x 1.0)
37.0ms	(/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)
115.0ms	(/ (fma x 0.27061 2.30753) (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

simplify2.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
2	1776
1	576
0	234

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

9.6b	(/ (fma x 0.27061 2.30753) (* (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))))
15.7b	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
15.7b	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
15.7b	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(/ (fma x 0.27061 2.30753) (* (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))))
2.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
2.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
2.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

series1.2s

Counts

4 → 12

Calls

4 calls:

408.0ms	(/ (fma x 0.27061 2.30753) (* (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711)) (cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))))
240.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
274.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))
242.0ms	(cbrt (/ (fma (fma x 0.04481 0.99229) x 1.0) 0.70711))

simplify1.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1733
1	553
0	233

prune926.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample782.0ms

Algorithm

intervals

Results

641.0ms

8000×

body

valid