Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 91

Calls

4 calls:

126.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms	(+ 2.30753 (* x 0.27061))
15.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
32.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	516	893
1	2218	827
2	5002	827
done	5002	827

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ 2.30753 (* x 0.27061))
15.0ms	(* x (+ 0.99229 (* x 0.04481)))
44.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
68.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify69.0ms

Counts

110 → 110

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	525	973
1	2425	877
2	5001	877
done	5001	877

prune285.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(* 0.70711 (+ 2.30753 (* x 0.27061)))
0.6b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b	(* (* 0.70711 (+ 2.30753 (* x 0.27061))) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
21×	`associate-r`
18×	`times-frac`
14×	`pow1` `prod-exp`
9×	`associate-*r/`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`flip3-+` `div-exp` `flip-+`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `-commutative` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*l/` `div-inv` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 121

Calls

4 calls:

15.0ms	(* x (+ 0.99229 (* x 0.04481)))
15.0ms	(* 0.70711 (+ 2.30753 (* x 0.27061)))
12.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
39.0ms	(* (* 0.70711 (+ 2.30753 (* x 0.27061))) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (+ 0.99229 (* x 0.04481)))
68.0ms	(* 0.70711 (+ 2.30753 (* x 0.27061)))
37.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
67.0ms	(* (* 0.70711 (+ 2.30753 (* x 0.27061))) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify84.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	672	1082
1	3684	927
2	5001	900
done	5001	900

prune283.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 0.99229 (* x 0.04481)))
0.6b	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
30×	`add-sqr-sqrt`
28×	`sqrt-pow1`
26×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
18×	`times-frac`
16×	`associate-*r/`
12×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
10×	`pow1/2` `pow-prod-up`
7×	`associate-r` `associate-l`
6×	`flip3--` `associate-/r` `pow-sqr` `flip--` `associate-/l`
5×	`flip3-+` `flip-+`
4×	`frac-times` `swap-sqr` `sqrt-prod` `associate-/r/` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-l/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 141

Calls

4 calls:

15.0ms	(* x (+ 0.99229 (* x 0.04481)))
225.0ms	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
23.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
23.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (+ 0.99229 (* x 0.04481)))
154.0ms	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
66.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	524	1842
1	2518	1667
2	5002	1597
done	5002	1597

prune399.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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	34	12
1	38	12
2	39	12
3	39	12
done	39	12

end0.0ms

sample402.0ms

Algorithm

intervals

Results

273.0ms

8000×

body

valid