Details

sample50.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	51	14
3	73	14
4	86	14
done	86	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite155.0ms

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:

6.0ms	(+ 0.99229 (* x 0.04481))
88.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
23.0ms	(* x (+ 0.99229 (* x 0.04481)))
31.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ 0.99229 (* x 0.04481))
130.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
92.0ms	(* x (+ 0.99229 (* x 0.04481)))
63.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.4s

Counts

162 → 162

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	240	4158
1	640	3638
2	2668	2850
done	5000	2647

prune549.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`associate-l` `prod-diff` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `fma-udef` `inv-pow`

Counts

4 → 103

Calls

4 calls:

20.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
11.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
60.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
87.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
105.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify2.1s

Counts

115 → 115

Iterations

Useful iterations: 2 (485.0ms)

Iter	Nodes	Cost
0	199	2077
1	507	1893
2	2349	1560
done	5001	1560

prune433.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

13.8b	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
15.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.0b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-exp-log`
41×	`prod-exp`
34×	`div-exp`
24×	`add-cbrt-cube`
13×	`cbrt-unprod`
11×	`frac-times`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `rec-exp` `1-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-*r/`
5×	`flip3-+` `associate-*l/` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `un-div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

144.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series741.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (+ 2.30753 (* x 0.27061)) (* (/ (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ 1 (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
221.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
195.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
218.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.2s

Counts

109 → 109

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	226	3748
1	712	3597
2	3574	2360
done	5000	2184

prune473.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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	19	17
done	19	17

end0.0ms

sample739.0ms

Algorithm

intervals

Results

571.0ms

8000×

body

valid