Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	314×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify25.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

18.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series60.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (+ y z))
33.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.5s

Counts

42 → 42

Iterations

Useful iterations: 3 (587.0ms)

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

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

19.0ms	(* z (+ x 5.0))
8.0ms	(+ (* y x) (* z (+ x 5.0)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (+ x 5.0))
32.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify1.8s

Counts

42 → 42

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	72	422
1	211	384
2	745	374
3	3472	356
done	5000	356

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series703.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt z) (cbrt z))
168.0ms	(cbrt z)
167.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify3.4s

Counts

85 → 85

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune191.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.1b	(* z (- (* x x) (* 5.0 5.0)))
7.0b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(- (* x x) (* 5.0 5.0))
22.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
26.0ms	(* z (- (* x x) (* 5.0 5.0)))
29.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series271.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* x x) (* 5.0 5.0))
75.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
61.0ms	(* z (- (* x x) (* 5.0 5.0)))
91.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify751.0ms

Counts

90 → 90

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	147	1416
1	403	1328
2	1365	1156
done	5000	978

prune178.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample478.0ms

Algorithm

intervals

Results

197.0ms	9754×	body	80	valid
9.0ms	102×	body	1280	valid
8.0ms	116×	body	640	valid
4.0ms	76×	body	320	valid
1.0ms	28×	body	160	valid