Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	58	14
4	80	14
5	90	14
6	112	14
7	140	14
8	188	14
9	236	14
10	314	14
11	423	14
12	666	14
13	1819	14
done	5000	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

2.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
17.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
87.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify820.0ms

Counts

148 → 148

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	279	6938
1	718	6217
2	2308	3905
done	5000	3899

prune361.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3)
15.6b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
22.9b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
4.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
7.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3))

series252.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
92.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3)
67.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
64.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) 3))

simplify562.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	188	3328
1	444	2920
2	1566	2611
done	5000	2611

prune345.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3)
0.2b	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
15.3b	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)))
22.9b	(cbrt (pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-exp-log`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-cbrt-cube`
13×	`associate-r`
10×	`pow1`
8×	`cbrt-prod` `prod-exp`
6×	`div-exp`
5×	`pow-exp`
4×	`cube-div` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-unpow` `1-exp` `associate-r/` `associate-l` `associate-/r` `un-div-inv` `associate-/l*` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow-flip` `frac-2neg` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube` `inv-pow`

Counts

4 → 122

Calls

4 calls:

5.0ms	(pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3)
2.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
8.0ms	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)))
1.0ms	(cbrt (pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3))

series274.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3)
48.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
66.0ms	(* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)))
69.0ms	(cbrt (pow (* (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0))) 3))

simplify654.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	194	2453
1	419	1940
2	1385	1809
done	5000	1809

prune354.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample338.0ms

Algorithm

intervals

Results

244.0ms

8000×

body

valid