Details

sample36.0ms

Algorithm

intervals

Results

14.0ms	318×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid

simplify36.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:

34.0ms	(* x (+ y z))
28.0ms	(+ (* x (+ y z)) (* z 5.0))

series94.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (+ y z))
48.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.0s

Counts

42 → 42

Iterations

Useful iterations: 3 (779.0ms)

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

prune130.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* z (+ x 5.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

37.0ms

(* z (+ x 5.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* z (+ x 5.0))

simplify4.5s

Counts

26 → 26

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	46	194
1	126	183
2	382	163
3	1297	163
4	4239	163
done	5000	163

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

1.5b	(* z (- (* x x) (* 5.0 5.0)))
7.2b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

31.0ms	(* z (- (* x x) (* 5.0 5.0)))
35.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series207.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* z (- (* x x) (* 5.0 5.0)))
117.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	115	882
1	305	850
2	1052	710
done	5000	612

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 5.0))
0.3b	(/ z (/ 1 (+ x 5.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

13.0ms	(/ 1 (+ x 5.0))
32.0ms	(/ z (/ 1 (+ x 5.0)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (+ x 5.0))
43.0ms	(/ z (/ 1 (+ x 5.0)))

simplify2.2s

Counts

135 → 135

Iterations

Useful iterations: 3 (830.0ms)

Iter	Nodes	Cost
0	196	1834
1	421	1361
2	1005	1273
3	2572	1271
done	5000	1271

prune222.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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

sample1.5s

Algorithm

intervals

Results

513.0ms	9804×	body	80	valid
402.0ms	113×	body	1280	valid
43.0ms	115×	body	640	valid
10.0ms	75×	body	320	valid
2.0ms	29×	body	160	valid