Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify3.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite195.0ms

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:

154.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(+ 2.30753 (* x 0.27061))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
68.0ms	(+ 2.30753 (* x 0.27061))
83.0ms	(* x (+ 0.99229 (* x 0.04481)))
78.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1861
1	545
0	202

prune596.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite120.0ms

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:

8.0ms	(+ 2.30753 (* x 0.27061))
25.0ms	(* x (+ 0.99229 (* x 0.04481)))
50.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
35.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 2.30753 (* x 0.27061))
93.0ms	(* x (+ 0.99229 (* x 0.04481)))
86.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
86.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1988
1	567
0	202

prune675.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
0.2b	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

rewrite792.0ms

Algorithm

rewrite-expression-head

Rules

198×	`pow1`
150×	`associate-*l/`
86×	`pow-prod-down`
62×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
21×	`*-un-lft-identity`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
4×	`pow2` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`associate-r` `associate-l` `pow3` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `swap-sqr` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 213

Calls

4 calls:

326.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
90.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
39.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
311.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
46.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
113.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
143.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.6s

Counts

225 → 225

Iterations

Iter	Nodes
done	5003
2	3003
1	845
0	312

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* x x) 1.3436228731669864) (* 2.134856267379707 x))
0.1b	(* (* x x) 1.3436228731669864)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

29.0ms	(- (* (* x x) 1.3436228731669864) (* 2.134856267379707 x))
30.0ms	(* (* x x) 1.3436228731669864)

series167.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(- (* (* x x) 1.3436228731669864) (* 2.134856267379707 x))
57.0ms	(* (* x x) 1.3436228731669864)

simplify2.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	2167
2	493
1	167
0	61

prune94.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

983.0ms

8000×

body

valid