Details

sample13.0ms

Algorithm

intervals

Results

4.0ms

291×

body

valid

simplify117.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

7.0ms	(+ (* x y) x)
34.0ms	(+ (+ (* x y) x) y)

series45.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x y) x)
16.0ms	(+ (+ (* x y) x) y)

simplify51.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5002	126
done	5002	126

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
0.1b	(* y (* x y))
1.9b	(* x (- (* y (* x y)) x))
26.7b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

66.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
16.0ms	(* y (* x y))
62.0ms	(* x (- (* y (* x y)) x))
48.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series487.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
18.0ms	(* y (* x y))
283.0ms	(* x (- (* y (* x y)) x))
126.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify58.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	372	641
1	1822	575
2	5001	566
done	5001	566

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x))
26.7b	(/ (* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x)) (- (* x y) x))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `times-frac` `associate-r` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
235.0ms	(* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x))
115.0ms	(/ (* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x)) (- (* x y) x))

series605.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
181.0ms	(cbrt y)
100.0ms	(* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x))
141.0ms	(/ (* x (- (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x y))) x)) (- (* x y) x))

simplify58.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	306	817
1	1648	679
2	5001	624
done	5001	624

prune210.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y (* x y)) (* y (* x y)))
3.1b	(* x (- (* (* y (* x y)) (* y (* x y))) (* x x)))
3.7b	(- (* (* y (* x y)) (* y (* x y))) (* x x))
39.3b	(/ (* x (- (* (* y (* x y)) (* y (* x y))) (* x x))) (* (- (* x y) x) (+ (* y (* x y)) x)))

rewrite607.0ms

Algorithm

rewrite-expression-head

Rules

120×	`pow1`
67×	`pow-prod-down`
54×	`add-exp-log` `add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `associate-/r/`
6×	`add-cube-cbrt` `flip3--` `-un-lft-identity` `associate-r/` `flip--` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-l`
3×	`sub-neg` `flip3-+` `pow-plus` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `times-frac` `diff-log` `swap-sqr` `clear-num` `associate-/r` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

75.0ms	(* (* y (* x y)) (* y (* x y)))
290.0ms	(* x (- (* (* y (* x y)) (* y (* x y))) (* x x)))
80.0ms	(- (* (* y (* x y)) (* y (* x y))) (* x x))
154.0ms	(/ (* x (- (* (* y (* x y)) (* y (* x y))) (* x x))) (* (- (* x y) x) (+ (* y (* x y)) x)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* y (* x y)) (* y (* x y)))
154.0ms	(* x (- (* (* y (* x y)) (* y (* x y))) (* x x)))
58.0ms	(- (* (* y (* x y)) (* y (* x y))) (* x x))
221.0ms	(/ (* x (- (* (* y (* x y)) (* y (* x y))) (* x x))) (* (- (* x y) x) (+ (* y (* x y)) x)))

simplify120.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	591	1357
1	3878	967
2	5001	918
done	5001	918

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

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	8	3
1	8	3
done	8	3

end0.0ms

sample331.0ms

Algorithm

intervals

Results

148.0ms

9141×

body

valid