Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify264.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	24	13
2	45	13
3	70	13
4	94	13
5	103	13
6	112	13
7	145	13
8	218	13
9	312	13
10	314	13
done	314	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+l+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `associate-*l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

29.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
54.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify639.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	71	602
1	188	568
2	545	540
3	1992	530
done	5001	530

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
0.3b	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
38×	`associate-*l/`
24×	`times-frac`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`frac-sub`
15×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
11×	`pow1` `associate-/l/`
8×	`add-log-exp`
7×	`swap-sqr` `associate-r` `associate-l`
5×	`div-inv` `difference-of-squares`
4×	`associate-/l*`
3×	`associate-/r*` `associate-/r/`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`+-commutative` `pow2` `associate-+l-` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `frac-add` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `distribute-lft-out` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

169.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
15.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
74.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
34.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
107.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
106.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	255	4611
1	745	4203
2	3414	3751
done	5000	3751

prune366.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.3b	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*l/`
53×	`add-exp-log`
47×	`add-cbrt-cube`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`frac-times`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`frac-sub`
23×	`associate-r`
20×	`associate-*r/`
19×	`prod-exp`
17×	`cbrt-unprod`
16×	`div-exp`
14×	`pow1` `cbrt-undiv`
11×	`associate-l`
7×	`swap-sqr`
6×	`associate-/r/` `div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `difference-of-squares`
1×	`pow2` `sub-neg` `pow-flip` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 174

Calls

4 calls:

12.0ms	(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
14.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
113.0ms	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
52.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
113.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
106.0ms	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ 1 (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify1.5s

Counts

186 → 186

Iterations

Useful iterations: 2 (375.0ms)

Iter	Nodes	Cost
0	282	5270
1	807	4720
2	4009	4084
done	5001	4084

prune430.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (/ 2.0 z))
0.3b	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.1b	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.3b	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ (sqrt 1) (+ (/ y (/ 2.0 z)) (* (/ 1.0 8.0) x))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
80×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
68×	`add-cube-cbrt`
67×	`associate-*l/`
50×	`add-exp-log` `add-cbrt-cube`
32×	`associate-r`
30×	`frac-times`
27×	`frac-sub`
20×	`associate-*r/`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
13×	`pow1` `associate-/r*`
11×	`associate-l` `sqrt-prod`
10×	`div-inv`
7×	`swap-sqr`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `frac-add` `clear-num` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 217

Calls

4 calls:

5.0ms	(/ y (/ 2.0 z))
14.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
22.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
163.0ms	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ (sqrt 1) (+ (/ y (/ 2.0 z)) (* (/ 1.0 8.0) x))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ y (/ 2.0 z))
33.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
105.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
107.0ms	(* (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (/ (sqrt 1) (+ (/ y (/ 2.0 z)) (* (/ 1.0 8.0) x))))

simplify1.6s

Counts

229 → 229

Iterations

Useful iterations: 2 (494.0ms)

Iter	Nodes	Cost
0	414	5911
1	1127	5308
2	4930	4718
done	5000	4718

prune649.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample516.0ms

Algorithm

intervals

Results

293.0ms	9131×	body	80	valid
0.0ms	1×	body	1280	valid