Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	50	14
3	66	14
4	72	14
done	72	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)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite131.0ms

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))
80.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
15.0ms	(* x (+ 0.99229 (* x 0.04481)))
24.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 0.99229 (* x 0.04481))
84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
57.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts

162 → 162

Iterations

Useful iterations: done (1.1s)

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

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
0.0b	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
9×	`times-frac` `prod-diff`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-/r` `associate-/l`
2×	`expm1-udef`
1×	`cbrt-undiv` `associate--l-` `sub-neg` `expm1-log1p` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

9.0ms	(- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
0.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series446.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- (expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
201.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
62.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	165	1925
1	333	1660
2	769	1484
3	2282	1385
done	5000	1351

prune270.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.3b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
15.1b	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
15.6b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u`
4×	`pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
5.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series467.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
148.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
195.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
96.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify751.0ms

Counts

73 → 73

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	217	1624
1	527	1437
2	1623	1279
done	5000	1201

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
15.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
19.4b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite22.0ms

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 0.04481 x 0.99229) 1.0)
7.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
5.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
6.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series250.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
90.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
66.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
68.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify733.0ms

Counts

143 → 143

Iterations

Useful iterations: done (728.0ms)

Iter	Nodes	Cost
0	188	3328
1	445	2920
2	1334	2611
done	5000	2540

prune350.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
done	15	18

end0.0ms

sample369.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid