Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	226×	body	80	valid
3.0ms	28×	body	1280	valid
3.0ms	29×	body	640	valid
1.0ms	21×	body	320	valid
1.0ms	5×	body	2560	valid
0.0ms	7×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	9	15
1	20	15
2	64	7
3	151	5
4	480	5
5	1488	5
done	5000	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

20.0ms

(* y (- x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (- x z))

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune44.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+ (* y x) (* y (- z)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(+ (* y x) (* y (- z)))

simplify1.6s

Counts

17 → 17

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	32	188
1	107	135
2	413	122
3	1589	118
done	5000	116

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

2.8b	(- (* x x) (* z z))
8.8b	(* y (- (* x x) (* z z)))
19.8b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite66.0ms

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-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

8.0ms	(- (* x x) (* z z))
27.0ms	(* y (- (* x x) (* z z)))
29.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series179.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x x) (* z z))
69.0ms	(* y (- (* x x) (* z z)))
78.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify698.0ms

Counts

74 → 74

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	109	1027
1	296	982
2	1089	818
done	5000	734

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x z))
0.3b	(/ (/ 1 (- x z)) y)
0.6b	(/ 1 (/ (/ 1 (- x z)) y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
439×	`add-sqr-sqrt` `*-un-lft-identity`
335×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
51×	`add-exp-log`
36×	`div-exp`
35×	`associate-/r/`
27×	`associate-/l*`
23×	`div-inv`
19×	`add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

3 → 447

Calls

3 calls:

12.0ms	(/ 1 (- x z))
25.0ms	(/ (/ 1 (- x z)) y)
32.0ms	(/ 1 (/ (/ 1 (- x z)) y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- x z))
58.0ms	(/ (/ 1 (- x z)) y)
38.0ms	(/ 1 (/ (/ 1 (- x z)) y))

simplify2.3s

Counts

456 → 456

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	548	8554
1	1259	6271
2	1983	5186
3	4216	5162
done	5000	5162

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample782.0ms

Algorithm

intervals

Results

190.0ms	6960×	body	80	valid
123.0ms	984×	body	1280	valid
92.0ms	976×	body	640	valid
43.0ms	599×	body	320	valid
32.0ms	219×	body	2560	valid
18.0ms	361×	body	160	valid