Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ 0.99229 (* x 0.04481))
12.0ms	(+ 2.30753 (* x 0.27061))
31.0ms	(* x (+ 0.99229 (* x 0.04481)))
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ 0.99229 (* x 0.04481))
40.0ms	(+ 2.30753 (* x 0.27061))
98.0ms	(* x (+ 0.99229 (* x 0.04481)))
83.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	163	1387
1	420	1180
2	1396	1050
done	5001	1049

prune458.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.2b	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
13.2b	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

123.0ms	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
11.0ms	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
5.0ms	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

series363.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
50.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
120.0ms	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
84.0ms	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

simplify3.2s

Counts

326 → 326

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	379	10215
1	815	8292
2	1491	7123
3	4378	6422
done	5000	6418

prune824.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753)))
13.1b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.1b	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.2b	(/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
30×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
14×	`div-exp`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`sqrt-prod` `div-inv`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `cbrt-unprod`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 111

Calls

4 calls:

27.0ms	(/ 1 (/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753)))
2.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
2.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
14.0ms	(/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753))

series453.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753)))
116.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
143.0ms	(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
117.0ms	(/ (* (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (fma 0.27061 x 2.30753))

simplify3.1s

Counts

123 → 123

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	198	3225
1	437	2170
2	1155	1902
3	4053	1854
done	5001	1848

prune395.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.2b	(pow (* x 0.27061) 3)
0.3b	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
19.3b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r`
2×	`cbrt-undiv` `sub-neg` `pow-pow` `associate-*r/` `div-exp` `pow-exp` `sum-cubes` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `flip3-+` `unpow3` `cube-prod` `associate-l` `clear-num` `associate-/r` `-commutative` `flip--` `flip-+` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
12.0ms	(pow (* x 0.27061) 3)
49.0ms	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
121.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
76.0ms	(pow (* x 0.27061) 3)
138.0ms	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
199.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: 2 (504.0ms)

Iter	Nodes	Cost
0	211	2051
1	506	1927
2	2140	1631
done	5002	1631

prune465.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample916.0ms

Algorithm

intervals

Results

753.0ms

8000×

body

valid