Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	42	17
3	48	17
done	48	17

prune2.0ms

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)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
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 → 75

Calls

4 calls:

11.0ms	(+ 0.99229 (* x 0.04481))
11.0ms	(+ 2.30753 (* x 0.27061))
38.0ms	(* x (+ 0.99229 (* x 0.04481)))
35.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 0.99229 (* x 0.04481))
46.0ms	(+ 2.30753 (* x 0.27061))
98.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify3.2s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	155	1315
1	400	1267
2	1302	1163
3	4665	1161
done	5001	1161

prune287.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
13.2b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

11.0ms	(+ 2.30753 (* x 0.27061))
33.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
43.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ 2.30753 (* x 0.27061))
105.0ms	(* x (+ 0.99229 (* x 0.04481)))
82.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
100.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	268	3779
1	639	3515
2	1834	3200
done	5001	3170

prune454.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- 2.30753 (* x 0.27061)))
0.2b	(* (* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061))) (/ 1 (- 2.30753 (* x 0.27061))))
0.2b	(* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061)))
13.2b	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
40×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
22×	`prod-exp`
18×	`associate-r`
16×	`associate-l`
14×	`div-exp`
12×	`pow1` `cbrt-unprod`
11×	`frac-times`
8×	`cbrt-undiv` `flip3--` `associate-*l/` `associate-/r/` `flip--`
7×	`associate-*r/`
6×	`associate-/r` `associate-/l`
4×	`rec-exp` `1-exp` `pow-prod-down` `div-inv` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `un-div-inv` `inv-pow`

Counts

4 → 162

Calls

4 calls:

19.0ms	(/ 1 (- 2.30753 (* x 0.27061)))
105.0ms	(* (* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061))) (/ 1 (- 2.30753 (* x 0.27061))))
90.0ms	(* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061)))
32.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (- 2.30753 (* x 0.27061)))
94.0ms	(* (* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061))) (/ 1 (- 2.30753 (* x 0.27061))))
110.0ms	(* (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 2.30753 (* x 0.27061)))
99.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.4s

Counts

174 → 174

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	283	4682
1	769	4114
2	2964	3390
done	5000	3379

prune557.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))
12.9b	(* (/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))
17.7b	(/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite544.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `times-frac`
39×	`add-cube-cbrt`
37×	`add-exp-log`
25×	`add-cbrt-cube`
22×	`associate-l`
18×	`associate-r`
12×	`pow1`
11×	`div-exp` `prod-exp`
8×	`associate-/r/` `associate-/l*`
7×	`sum-cubes` `cbrt-unprod` `distribute-lft-out`
6×	`cbrt-undiv` `associate-/r*` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`pow-prod-down` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-*r/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3--` `pow-flip` `associate-*l/` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 163

Calls

4 calls:

62.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
104.0ms	(/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))
292.0ms	(* (/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))
79.0ms	(/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
67.0ms	(/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))
189.0ms	(* (/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))
104.0ms	(/ (+ (pow (* x 0.27061) 3) (pow 2.30753 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.1s

Counts

175 → 175

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	302	5411
1	827	5157
2	2905	4574
done	5000	4568

prune748.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	29	31
done	29	31

end0.0ms

sample866.0ms

Algorithm

intervals

Results

707.0ms

8000×

body

valid