Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify2.6s

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

prune14.0ms

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))
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)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite251.0ms

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	(+ 2.30753 (* x 0.27061))
194.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
25.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 2.30753 (* x 0.27061))
157.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
90.0ms	(* x (+ 0.99229 (* x 0.04481)))
98.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	2407
1	557
0	202

prune646.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)) (* (- 0.70711) x))
0.1b	(* (+ (* 0.04481 x) 0.99229) x)
0.1b	(/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)
13.9b	(/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l/`
3×	`associate-r` `associate-l`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*l/`
1×	`+-commutative` `sum-log` `unsub-neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

116.0ms	(+ (/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)) (* (- 0.70711) x))
44.0ms	(* (+ (* 0.04481 x) 0.99229) x)
41.0ms	(/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)
45.0ms	(/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711))

series390.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)) (* (- 0.70711) x))
89.0ms	(* (+ (* 0.04481 x) 0.99229) x)
44.0ms	(/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711)
104.0ms	(/ (+ (* 0.27061 x) 2.30753) (/ (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)) 0.70711))

simplify1.8s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	4019
1	763
0	278

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x 0.04481) 0.99229) x)
0.2b	(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))))
0.2b	(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

34.0ms	(* (+ (* x 0.04481) 0.99229) x)
40.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))))
52.0ms	(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))))
22.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (* x 0.04481) 0.99229) x)
212.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))))
144.0ms	(* (sqrt 0.70711) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))))
77.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	3580
1	620
0	222

prune744.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)
13.8b	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
13.8b	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
13.9b	(/ (+ (* 0.27061 x) 2.30753) (* (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) (/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac`
18×	`sqrt-prod`
15×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-div`
9×	`associate-/l*`
6×	`pow1` `flip3-+` `flip-+`
5×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`associate-/r*` `add-log-exp` `associate-/l/`
2×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-*r/`

Counts

4 → 101

Calls

4 calls:

9.0ms	(/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)
6.0ms	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
5.0ms	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
28.0ms	(/ (+ (* 0.27061 x) 2.30753) (* (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) (/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)
84.0ms	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
81.0ms	(sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)))
74.0ms	(/ (+ (* 0.27061 x) 2.30753) (* (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) (/ (sqrt (+ 1.0 (* (+ (* x 0.04481) 0.99229) x))) 0.70711)))

simplify1.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2369
1	569
0	223

prune535.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	37
3	37
2	36
1	32
0	20

end0.0ms

sample756.0ms

Algorithm

intervals

Results

616.0ms

8000×

body

valid