Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	309×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	23	9
3	29	9
4	31	9
done	31	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))

rewrite15.0ms

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:

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

series58.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.2s

Counts

42 → 42

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	72	422
1	209	386
2	617	358
3	2040	356
done	5000	356

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(+ (* x y) (* z (+ x 5.0)))
10.0ms	(* z (+ x 5.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x y) (* z (+ x 5.0)))
36.0ms	(* z (+ x 5.0))

simplify1.3s

Counts

42 → 42

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	71	422
1	209	384
2	664	356
3	2335	356
done	5001	356

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 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)

rewrite9.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series778.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt z) (cbrt z))
185.0ms	(cbrt z)
193.0ms	(cbrt z)
187.0ms	(cbrt z)

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune206.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.6b	(* z (- (* x x) (* 5.0 5.0)))
7.3b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite39.0ms

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:

3.0ms	(- (* x x) (* 5.0 5.0))
10.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
14.0ms	(* z (- (* x x) (* 5.0 5.0)))
11.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* x x) (* 5.0 5.0))
60.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
71.0ms	(* z (- (* x x) (* 5.0 5.0)))
94.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify695.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	146	1416
1	403	1328
2	1390	1152
done	5001	1152

prune200.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

sample441.0ms

Algorithm

intervals

Results

212.0ms	9756×	body	80	valid
13.0ms	128×	body	1280	valid
10.0ms	125×	body	640	valid
7.0ms	80×	body	320	valid
1.0ms	29×	body	160	valid