Details

sample36.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	50	14
3	66	14
4	72	14
done	72	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

112.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms	(+ 0.99229 (* x 0.04481))
29.0ms	(* x (+ 0.99229 (* x 0.04481)))
35.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
41.0ms	(+ 0.99229 (* x 0.04481))
120.0ms	(* x (+ 0.99229 (* x 0.04481)))
68.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts

162 → 162

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	240	4158
1	604	3415
2	1777	2842
done	5001	2628

prune552.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.4b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `pow-flip` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
0.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
23.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 0.99229 (* x 0.04481))
75.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
112.0ms	(* x (+ 0.99229 (* x 0.04481)))
44.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.4s

Counts

97 → 97

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	167	1360
1	388	1169
2	1120	977
3	4101	975
done	5000	974

prune491.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
11.9b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
11.9b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
11.9b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `inv-pow`

Counts

4 → 105

Calls

4 calls:

8.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
3.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
3.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
3.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
254.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
255.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
247.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify1.6s

Counts

117 → 117

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	156	2391
1	326	2204
2	771	2072
3	2291	1939
done	5000	1900

prune589.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	20	17
done	20	17

end0.0ms

sample828.0ms

Algorithm

intervals

Results

636.0ms

8000×

body

valid