Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	60	16
3	95	16
4	126	16
5	140	16
6	156	16
7	201	16
8	297	16
9	359	16
10	442	16
11	643	16
12	998	16
13	4559	16
done	5000	16

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
135×	`*-un-lft-identity` `prod-diff`
131×	`add-cube-cbrt`
101×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-/r/`
15×	`fma-neg`
13×	`flip3-+` `flip-+`
11×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `associate-/r` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

4 → 253

Calls

4 calls:

104.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
219.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
39.0ms	(* x (+ 0.99229 (* x 0.04481)))
52.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
115.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
108.0ms	(* x (+ 0.99229 (* x 0.04481)))
87.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.5s

Counts

265 → 265

Iterations

Useful iterations: 2 (864.0ms)

Iter	Nodes	Cost
0	370	9871
1	928	8482
2	3666	6624
done	5000	6624

prune954.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
0.0b	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.5b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
14.0ms	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
24.0ms	(* x (+ 0.99229 (* x 0.04481)))
15.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
98.0ms	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
98.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: 2 (480.0ms)

Iter	Nodes	Cost
0	197	1867
1	494	1784
2	2245	1308
done	5001	1308

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0)) (* (- x) 0.70711))
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
0.1b	(* (fma 0.27061 x 2.30753) 0.70711)
13.5b	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

38.0ms	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0)) (* (- x) 0.70711))
1.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
12.0ms	(* (fma 0.27061 x 2.30753) 0.70711)
11.0ms	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0))

series294.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0)) (* (- x) 0.70711))
39.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
65.0ms	(* (fma 0.27061 x 2.30753) 0.70711)
94.0ms	(/ (* (fma 0.27061 x 2.30753) 0.70711) (fma x (fma x 0.04481 0.99229) 1.0))

simplify943.0ms

Counts

87 → 87

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	136	1291
1	332	1231
2	1401	1067
done	5002	1064

prune335.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711))
0.1b	(* (sqrt 0.70711) (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711)))
13.5b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
10×	`times-frac`
7×	`associate-r` `sqrt-prod`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
95.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711))
115.0ms	(* (sqrt 0.70711) (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711)))
8.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series407.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
136.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711))
151.0ms	(* (sqrt 0.70711) (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) (sqrt 0.70711)))
82.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify855.0ms

Counts

105 → 105

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	185	2221
1	411	2102
2	1597	1901
done	5001	1813

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	27	21
done	27	21

end0.0ms

sample795.0ms

Algorithm

intervals

Results

609.0ms

8000×

body

valid