Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify11.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	54	16
3	79	16
4	103	16
5	117	16
6	133	16
7	160	16
8	219	16
9	253	16
10	326	16
11	458	16
12	822	16
13	1768	16
14	2602	16
15	2824	16
16	4029	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
135×	`*-un-lft-identity` `prod-diff`
131×	`add-cube-cbrt`
101×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-/r/`
15×	`fma-neg`
13×	`flip3-+` `flip-+`
11×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `associate-/r` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

4 → 253

Calls

4 calls:

41.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
88.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
95.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts

265 → 265

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	370	9871
1	794	8434
2	3077	6463
done	5000	6463

prune476.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* (- x) 0.70711))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `distribute-lft-neg-out` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `flip3-+` `unsub-neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef`

Counts

4 → 90

Calls

4 calls:

4.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* (- x) 0.70711))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* (- x) 0.70711))
28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
69.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
64.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify567.0ms

Counts

102 → 102

Iterations

Useful iterations: done (564.0ms)

Iter	Nodes	Cost
0	170	1908
1	419	1797
2	1559	1608
done	5000	1607

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (/ 1 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (* (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 0.70711))
15.2b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.2b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.2b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
44×	`prod-exp`
31×	`add-cbrt-cube`
19×	`div-exp`
18×	`cbrt-unprod`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

38.0ms	(* (/ 1 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (* (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 0.70711))
0.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
0.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series516.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (/ 1 (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (* (/ (fma 0.27061 x 2.30753) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 0.70711))
149.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
147.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
145.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify894.0ms

Counts

104 → 104

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	197	3506
1	565	3195
2	2283	2077
done	5001	2061

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (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))
14.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
69×	`times-frac`
64×	`cbrt-prod`
60×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l` `unswap-sqr`
7×	`div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 167

Calls

4 calls:

19.0ms	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series396.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
60.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
64.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
65.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify597.0ms

Counts

179 → 179

Iterations

Useful iterations: 2 (158.0ms)

Iter	Nodes	Cost
0	229	4993
1	450	4786
2	1638	4492
done	5000	4492

prune632.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	20	19
2	23	19
3	24	19
done	24	19

end0.0ms

sample362.0ms

Algorithm

intervals

Results

267.0ms

8000×

body

valid