Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	320×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	36	9
4	39	9
done	39	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
21.0ms	(+ (* x (+ y z)) (* z 5.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (+ y z))
31.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune89.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y x) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* y x) (* z (+ x 5.0)))
22.0ms	(* z (+ x 5.0))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* y x) (* z (+ x 5.0)))
42.0ms	(* z (+ x 5.0))

simplify2.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	72	422
1	211	384
2	748	356
3	3485	356
done	5000	356

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
0.6b	(cbrt (* z (+ x 5.0)))
0.6b	(cbrt (* z (+ x 5.0)))
0.6b	(cbrt (* z (+ x 5.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

31.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
7.0ms	(cbrt (* z (+ x 5.0)))
11.0ms	(cbrt (* z (+ x 5.0)))
7.0ms	(cbrt (* z (+ x 5.0)))

series747.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
163.0ms	(cbrt (* z (+ x 5.0)))
206.0ms	(cbrt (* z (+ x 5.0)))
148.0ms	(cbrt (* z (+ x 5.0)))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	169	1707
1	417	1582
2	1155	1434
3	3429	1167
done	5001	1083

prune458.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
0.0b	(- (* 5.0 5.0) (* x 5.0))
2.4b	(* z (+ (pow x 3) (pow 5.0 3)))
11.1b	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

92.0ms	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
8.0ms	(- (* 5.0 5.0) (* x 5.0))
148.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
126.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
42.0ms	(- (* 5.0 5.0) (* x 5.0))
130.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
213.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	159	1792
1	472	1512
2	1855	1350
done	5000	1346

prune378.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

620.0ms	9854×	body	80	valid
23.0ms	115×	body	1280	valid
19.0ms	111×	body	640	valid
6.0ms	52×	body	320	valid
3.0ms	31×	body	160	valid