Details

sample39.0ms

Algorithm

intervals

Results

9.0ms	229×	body	80	valid
7.0ms	35×	body	1280	valid
6.0ms	36×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	5×	body	2560	valid
1.0ms	7×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2493
5	753
4	332
3	159
2	63
1	22
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

30.0ms

(* (- x z) y)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (- x z) y)

simplify1.5s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1223
2	306
1	111
0	50

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

1.7b	(- (* x x) (* z z))
8.6b	(* (- (* x x) (* z z)) y)
18.1b	(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-l` `associate-l/`
3×	`flip3--` `associate-r` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

15.0ms	(- (* x x) (* z z))
33.0ms	(* (- (* x x) (* z z)) y)
44.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series196.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* x x) (* z z))
61.0ms	(* (- (* x x) (* z z)) y)
78.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
2	1236
1	307
0	109

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sqrt (+ x z)))
0.1b	(/ (+ x z) (/ (sqrt (+ x z)) (- x z)))
0.1b	(/ (sqrt (+ x z)) (- x z))
7.1b	(* (/ (+ x z) (/ (sqrt (+ x z)) (- x z))) (/ y (sqrt (+ x z))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

743×	`times-frac`
724×	`*-un-lft-identity`
489×	`add-sqr-sqrt`
300×	`add-cube-cbrt`
239×	`sqrt-prod`
169×	`associate-l`
141×	`distribute-lft-out`
71×	`distribute-lft-out--` `difference-of-squares`
53×	`associate-/r*`
34×	`add-cbrt-cube` `add-exp-log`
27×	`associate-r`
26×	`associate-/r/`
14×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l*`
12×	`unswap-sqr`
10×	`flip3--` `flip--`
6×	`pow1` `sqrt-div` `prod-exp` `cbrt-unprod`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 570

Calls

4 calls:

16.0ms	(/ y (sqrt (+ x z)))
48.0ms	(/ (+ x z) (/ (sqrt (+ x z)) (- x z)))
15.0ms	(/ (sqrt (+ x z)) (- x z))
88.0ms	(* (/ (+ x z) (/ (sqrt (+ x z)) (- x z))) (/ y (sqrt (+ x z))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ y (sqrt (+ x z)))
68.0ms	(/ (+ x z) (/ (sqrt (+ x z)) (- x z)))
103.0ms	(/ (sqrt (+ x z)) (- x z))
84.0ms	(* (/ (+ x z) (/ (sqrt (+ x z)) (- x z))) (/ y (sqrt (+ x z))))

simplify1.7s

Counts

582 → 582

Iterations

Iter	Nodes
done	5000
1	1644
0	527

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

743.0ms	7036×	body	80	valid
329.0ms	937×	body	1280	valid
275.0ms	982×	body	640	valid
124.0ms	606×	body	320	valid
60.0ms	193×	body	2560	valid
34.0ms	347×	body	160	valid