Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

327×

body

valid

simplify404.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

15.0ms	(+ (* x y) (* (- 1.0 x) z))
36.0ms	(* (- 1.0 x) z)

series104.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x y) (* (- 1.0 x) z))
49.0ms	(* (- 1.0 x) z)

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	71	405
1	185	379
2	676	345
3	3001	345
done	5001	345

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
1.5b	(* (- (* 1.0 1.0) (* x x)) z)
7.1b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

22.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
33.0ms	(* (- (* 1.0 1.0) (* x x)) z)
38.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series204.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
55.0ms	(* (- (* 1.0 1.0) (* x x)) z)
78.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	122	1163
1	365	1086
2	1521	948
done	5000	764

prune213.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.3b	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

35.0ms	(* (- 1.0 x) z)
14.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
14.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
94.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- 1.0 x) z)
167.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
148.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
54.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify2.9s

Counts

121 → 121

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	148	2519
1	329	1800
2	1054	1662
3	4134	1595
done	5000	1569

prune326.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
0.1b	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
0.2b	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
0.4b	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3-+` `associate-l` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 162

Calls

4 calls:

9.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
12.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
91.0ms	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
13.0ms	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

series826.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
194.0ms	(sqrt (sqrt (+ (* x y) (* (- 1.0 x) z))))
53.0ms	(* (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) (pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3))
357.0ms	(pow (sqrt (sqrt (+ (* x y) (* (- 1.0 x) z)))) 3)

simplify1.7s

Counts

174 → 174

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	183	4915
1	477	4288
2	1568	3299
done	5001	3139

prune600.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes115.0ms

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	9
1	11	9
done	11	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

467.0ms

10133×

body

valid