Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
14	3988
13	1809
12	737
11	453
10	309
9	254
8	207
7	156
6	118
5	105
4	94
3	71
2	52
1	31
0	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*r/` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

8.0ms	(+ 2.30753 (* x 0.27061))
52.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
11.0ms	(* x (+ 0.99229 (* x 0.04481)))
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ 2.30753 (* x 0.27061))
122.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
113.0ms	(* x (+ 0.99229 (* x 0.04481)))
77.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1555
1	470
0	176

prune488.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize407.0ms

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))))
12.3b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
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` `insert-posit16`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

4.0ms	(+ 2.30753 (* x 0.27061))
14.0ms	(* x (+ 0.99229 (* x 0.04481)))
12.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
24.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ 2.30753 (* x 0.27061))
101.0ms	(* x (+ 0.99229 (* x 0.04481)))
109.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
80.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify2.0s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	2494
1	731
0	272

prune664.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
0.0b	(* 0.70711 (- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x))
0.1b	(* (* x x) 0.02505083423776644)
0.3b	(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
15×	`add-exp-log` `add-cube-cbrt`
13×	`times-frac` `add-cbrt-cube`
12×	`pow1`
11×	`associate-r`
6×	`add-log-exp` `difference-of-squares`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r` `sub-neg` `div-inv` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `div-exp` `associate-r/` `associate-/r/` `-commutative` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3-+` `diff-log` `1-exp` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 102

Calls

4 calls:

90.0ms	(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
301.0ms	(* 0.70711 (- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x))
29.0ms	(* (* x x) 0.02505083423776644)
29.0ms	(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x)
86.0ms	(* 0.70711 (- (/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644)))) x))
32.0ms	(* (* x x) 0.02505083423776644)
79.0ms	(/ 1 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* x x) 0.02505083423776644))))

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1437
1	473
0	199

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))) (* 0.70711 (- x)))
0.0b	(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))
0.1b	(* (* 0.02505083423776644 x) x)
0.3b	(/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`pow1` `times-frac`
4×	`insert-posit16`
3×	`associate-/r` `sum-log` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l`
2×	`+-commutative` `associate-+r+` `associate-/r/` `distribute-rgt-neg-out` `div-inv`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `associate-l` `unsub-neg` `*-commutative` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

94.0ms	(+ (/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))) (* 0.70711 (- x)))
16.0ms	(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))
14.0ms	(* (* 0.02505083423776644 x) x)
32.0ms	(/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))) (* 0.70711 (- x)))
28.0ms	(+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x)))
28.0ms	(* (* 0.02505083423776644 x) x)
59.0ms	(/ 0.70711 (+ (* 0.37920088514346545 x) (- 0.4333638132548656 (* (* 0.02505083423776644 x) x))))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1442
1	435
0	169

prune346.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	18

end0.0ms

sample706.0ms

Algorithm

intervals

Results

610.0ms

8000×

body

valid