Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

337×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x y) (* z t))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (* x y) (* z t))

simplify1.6s

Counts

14 → 14

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	31	160
1	99	155
2	318	141
3	870	141
4	2110	141
done	5000	141

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t z) (* x y))
0.3b	(pow (+ (* t z) (* x y)) 3)
34.9b	(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

2.0ms	(+ (* t z) (* x y))
4.0ms	(pow (+ (* t z) (* x y)) 3)
4.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

series193.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* t z) (* x y))
122.0ms	(pow (+ (* t z) (* x y)) 3)
36.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

simplify404.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	93	1090
1	262	901
2	1046	821
done	5000	821

prune134.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* t z) (* x y)) 2)
0.4b	(* (cbrt (+ (* t z) (* x y))) (cbrt (pow (+ (* t z) (* x y)) 2)))
2.3b	(cbrt (+ (* t z) (* x y)))
25.0b	(cbrt (pow (+ (* t z) (* x y)) 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-r`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-l` `unpow2`
5×	`sqr-pow`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow-prod-down` `associate-*l/` `flip-+`
1×	`pow-to-exp` `pow-pow` `cube-unmult` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

4.0ms	(pow (+ (* t z) (* x y)) 2)
26.0ms	(* (cbrt (+ (* t z) (* x y))) (cbrt (pow (+ (* t z) (* x y)) 2)))
2.0ms	(cbrt (+ (* t z) (* x y)))
7.0ms	(cbrt (pow (+ (* t z) (* x y)) 2))

series315.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (+ (* t z) (* x y)) 2)
38.0ms	(* (cbrt (+ (* t z) (* x y))) (cbrt (pow (+ (* t z) (* x y)) 2)))
103.0ms	(cbrt (+ (* t z) (* x y)))
125.0ms	(cbrt (pow (+ (* t z) (* x y)) 2))

simplify2.4s

Counts

101 → 101

Iterations

Useful iterations: 3 (842.0ms)

Iter	Nodes	Cost
0	170	1981
1	423	1841
2	1167	1689
3	4615	1659
done	5000	1659

prune276.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (pow (* x y) 3) (pow (* z t) 3))
1.2b	(* (* z t) (- (* z t) (* x y)))
1.8b	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
37.6b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
12.0ms	(* (* z t) (- (* z t) (* x y)))
11.0ms	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
42.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
54.0ms	(* (* z t) (- (* z t) (* x y)))
90.0ms	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
135.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

simplify935.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	165	3118
1	431	2966
2	2186	2721
done	5001	2721

prune274.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample477.0ms

Algorithm

intervals

Results

230.0ms

10470×

body

valid