Details

sample72.0ms

Algorithm

intervals

Results

18.0ms	211×	body	80	valid
13.0ms	30×	body	640	valid
11.0ms	15×	body	1280	valid
6.0ms	100×	body	80	nan
6.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

90×	`log-prod`
78×	`*-un-lft-identity`
60×	`times-frac`
48×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log`
8×	`pow1` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
5×	`div-inv`
4×	`associate-r` `insert-posit16`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `exp-prod` `sum-log` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 146

Calls

4 calls:

80.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms	(exp (* y (log (/ y (+ z y)))))
24.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
301.0ms	(exp (* y (log (/ y (+ z y)))))
84.0ms	(* y (log (/ y (+ z y))))
64.0ms	(log (/ y (+ z y)))

simplify2.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5004
3	3888
2	1364
1	627
0	267

prune693.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
139×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 195

Calls

4 calls:

6.0ms	(cbrt (+ z y))
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
20.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (+ z y))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
92.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.5s

Counts

207 → 207

Iterations

Iter	Nodes
done	5000
4	4653
3	1832
2	696
1	361
0	191

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.0b	(+ x (/ (exp (- z)) y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 43

Calls

2 calls:

23.0ms	(/ (exp (- z)) y)
30.0ms	(+ x (/ (exp (- z)) y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (exp (- z)) y)
36.0ms	(+ x (/ (exp (- z)) y))

simplify1.6s

Counts

49 → 49

Iterations

Iter	Nodes
done	5007
3	1797
2	566
1	194
0	87

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sqrt (exp (- z))))
0.0b	(sqrt (exp (- z)))
0.0b	(sqrt (exp (- z)))
0.0b	(+ x (/ (sqrt (exp (- z))) (/ y (sqrt (exp (- z))))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`sqrt-pow1`
20×	`exp-prod`
18×	`times-frac` `sqrt-prod`
6×	`distribute-lft-neg-in` `pow1` `associate-/r*` `distribute-rgt-neg-in` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`neg-sub0` `exp-neg` `exp-diff` `associate-/l*`
2×	`rem-sqrt-square` `neg-mul-1` `pow1/2` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 107

Calls

4 calls:

22.0ms	(/ y (sqrt (exp (- z))))
11.0ms	(sqrt (exp (- z)))
11.0ms	(sqrt (exp (- z)))
82.0ms	(+ x (/ (sqrt (exp (- z))) (/ y (sqrt (exp (- z))))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ y (sqrt (exp (- z))))
28.0ms	(sqrt (exp (- z)))
32.0ms	(sqrt (exp (- z)))
41.0ms	(+ x (/ (sqrt (exp (- z))) (/ y (sqrt (exp (- z))))))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
3	2009
2	700
1	282
0	147

prune597.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	6481×	body	80	valid
700.0ms	788×	body	1280	valid
584.0ms	947×	body	640	valid
220.0ms	2948×	body	80	nan
186.0ms	587×	body	320	valid
64.0ms	337×	body	160	valid