Details

sample38.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify20.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	59	16
3	87	16
4	112	16
5	126	16
6	142	16
7	181	16
8	245	16
9	273	16
10	346	16
11	542	16
12	794	16
13	1100	16
14	1404	16
15	1637	16
16	1979	16
17	2694	16
18	3412	16
19	4433	16
20	4990	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
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)))
12.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
192.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
18.0ms	(* x (+ 0.99229 (* x 0.04481)))
39.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ 0.99229 (* x 0.04481))
157.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
100.0ms	(* x (+ 0.99229 (* x 0.04481)))
88.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.0s

Counts

204 → 204

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	366	7100
1	775	5804
2	2143	4824
done	5000	4422

prune586.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (* 0.70711 (- x)))
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b	(* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
12.0b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(+ (* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (* 0.70711 (- x)))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
16.0ms	(* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
10.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series421.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (* 0.70711 (- x)))
43.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
138.0ms	(* 0.70711 (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
106.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify3.3s

Counts

102 → 102

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	169	1921
1	405	1798
2	1262	1611
3	4678	1593
done	5000	1591

prune388.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 1.3436228731669864) 2.134856267379707)
0.0b	(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
0.1b	(* x (- (* x 1.3436228731669864) 2.134856267379707))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

15.0ms	(- (* x 1.3436228731669864) 2.134856267379707)
13.0ms	(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
38.0ms	(* x (- (* x 1.3436228731669864) 2.134856267379707))

series218.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x 1.3436228731669864) 2.134856267379707)
51.0ms	(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
97.0ms	(* x (- (* x 1.3436228731669864) 2.134856267379707))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	127	986
1	277	843
2	699	738
3	2836	727
done	5000	709

prune228.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	20	19
2	24	19
3	25	19
done	25	19

end0.0ms

sample787.0ms

Algorithm

intervals

Results

619.0ms

8000×

body

valid