Details

sample45.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	3931
12	769
11	488
10	320
9	258
8	210
7	155
6	117
5	106
4	98
3	74
2	52
1	31
0	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ 0.99229 (* x 0.04481))
159.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
18.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ 0.99229 (* x 0.04481))
143.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
111.0ms	(* x (+ 0.99229 (* x 0.04481)))
102.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	2373
1	554
0	202

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.04481 x) 0.99229)
0.1b	(* x (+ (* 0.04481 x) 0.99229))
0.1b	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 0.70711)
15.1b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

6.0ms	(+ (* 0.04481 x) 0.99229)
32.0ms	(* x (+ (* 0.04481 x) 0.99229))
42.0ms	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 0.70711)
32.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* 0.04481 x) 0.99229)
113.0ms	(* x (+ (* 0.04481 x) 0.99229))
100.0ms	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 0.70711)
75.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2699
1	563
0	200

prune724.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) 0.04481) (* 0.99229 x))
0.1b	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x)))) 0.70711)
0.1b	(* (* x x) 0.04481)
15.1b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x))))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
7×	`distribute-lft-out`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-/r*` `flip3-+` `pow-prod-down` `associate-/r/` `flip-+`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*l/`

Counts

4 → 102

Calls

4 calls:

29.0ms	(+ (* (* x x) 0.04481) (* 0.99229 x))
217.0ms	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x)))) 0.70711)
15.0ms	(* (* x x) 0.04481)
120.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (* (* x x) 0.04481) (* 0.99229 x))
84.0ms	(* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x)))) 0.70711)
38.0ms	(* (* x x) 0.04481)
79.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (+ (* (* x x) 0.04481) (* 0.99229 x))))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	3032
1	566
0	202

prune621.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* 0.04481 x)))
0.1b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0))
20.3b	(cbrt (* (pow 0.70711 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
15×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-r` `associate-l` `associate-r/` `div-inv` `associate-/l*`
2×	`cube-div` `cbrt-undiv` `div-exp` `pow-prod-down` `pow-exp` `rem-cube-cbrt` `associate-/l/`
1×	`cbrt-prod` `distribute-rgt-in` `cube-mult` `pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `unpow3` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

17.0ms	(* x (+ 0.99229 (* 0.04481 x)))
23.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)
50.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0))
24.0ms	(cbrt (* (pow 0.70711 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (+ 0.99229 (* 0.04481 x)))
130.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)
87.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0))
122.0ms	(cbrt (* (pow 0.70711 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ (* x (+ 0.99229 (* 0.04481 x))) 1.0)) 3)))

simplify1.9s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	4379
1	851
0	236

prune810.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	35
3	35
2	34
1	30
0	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

804.0ms

8000×

body

valid