Details

sample48.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
14.0ms	282×	body	80	nan

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
6	119
5	111
4	85
3	62
2	39
1	21
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* (sqrt x) 4.0))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`associate-/r` `sum-log` `flip3-+` `associate-l*` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

29.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
95.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
450.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
115.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
113.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

simplify998.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2079
1	461
0	161

prune541.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt x) 4.0) (+ 1.0 x))
0.0b	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
0.0b	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
0.0b	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`sum-log` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 257

Calls

4 calls:

15.0ms	(+ (* (sqrt x) 4.0) (+ 1.0 x))
94.0ms	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
96.0ms	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
35.0ms	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* (sqrt x) 4.0) (+ 1.0 x))
117.0ms	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
118.0ms	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
109.0ms	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

simplify680.0ms

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
1	1001
0	339

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)))
0.1b	(/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0)))
0.1b	(cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3))
0.1b	(pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
32×	`add-sqr-sqrt`
28×	`unpow-prod-down` `cube-prod`
27×	`associate-r`
23×	`*-un-lft-identity` `add-cube-cbrt`
21×	`times-frac` `add-exp-log`
16×	`add-cbrt-cube`
14×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+` `div-inv`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`cbrt-undiv` `pow-exp` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `associate-/r` `unpow3` `associate-l` `associate-r/` `cbrt-unprod` `rem-cube-cbrt`
2×	`cbrt-div` `1-exp` `associate-/l/`
1×	`pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `flip3--` `pow1/3` `pow-prod-down` `-commutative` `rem-cbrt-cube` `flip--` `associate-/l`

Counts

4 → 148

Calls

4 calls:

203.0ms	(* 6.0 (cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)))
53.0ms	(/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0)))
27.0ms	(cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3))
41.0ms	(pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)

series537.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* 6.0 (cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)))
104.0ms	(/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0)))
133.0ms	(cbrt (pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3))
147.0ms	(pow (/ (* 1 (- x 1.0)) (+ (* (sqrt x) 4.0) (+ x 1.0))) 3)

simplify495.0ms

Counts

160 → 160

Iterations

Iter	Nodes
done	5001
1	712
0	215

prune684.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0))
0.1b	(/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
0.1b	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)
0.9b	(cbrt (/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

1947×	`times-frac`
1120×	`add-sqr-sqrt` `*-un-lft-identity`
837×	`unpow-prod-down` `cube-prod`
800×	`add-cube-cbrt`
581×	`cbrt-prod`
160×	`distribute-lft-out--` `difference-of-squares`
123×	`cube-mult` `unpow3` `sqr-pow`
108×	`associate-/r/`
55×	`div-inv`
53×	`associate-/r*` `flip3--` `flip--`
29×	`add-exp-log`
17×	`div-exp`
15×	`associate-/l*`
12×	`pow-exp`
11×	`add-cbrt-cube`
8×	`pow-to-exp`
5×	`pow1`
4×	`add-log-exp`
3×	`cube-div` `cbrt-undiv` `pow-unpow`
2×	`clear-num` `frac-2neg` `rem-cube-cbrt` `associate-/l/`
1×	`cbrt-div` `pow-pow` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 1351

Calls

4 calls:

80.0ms	(/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0))
160.0ms	(/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
50.0ms	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)
82.0ms	(cbrt (/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0))
197.0ms	(/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
122.0ms	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)
133.0ms	(cbrt (/ (pow 6.0 3) (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))

simplify1.1s

Counts

1363 → 1363

Iterations

Iter	Nodes
done	5000
1	1801
0	968

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

657.0ms	8079×	body	80	nan
408.0ms	8000×	body	80	valid