Details

sample97.0ms

Algorithm

intervals

Results

25.0ms	208×	body	80	valid
18.0ms	30×	body	640	valid
16.0ms	17×	body	1280	valid
10.0ms	22×	body	320	valid
9.0ms	89×	body	80	nan
2.0ms	9×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r` `associate-r*` `insert-posit16` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

43.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
17.0ms	(/ y (+ z y))
20.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
45.0ms	(/ y (+ z y))
92.0ms	(* y (log (/ y (+ z y))))
64.0ms	(log (/ y (+ z y)))

simplify2.5s

Counts

145 → 145

Iterations

Iter	Nodes
done	5005
3	4587
2	1054
1	450
0	203

prune659.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

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:

3.0ms	(cbrt (+ z y))
5.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
4.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (+ z y))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts

207 → 207

Iterations

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

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

8.0ms	(/ (exp (- z)) y)
15.0ms	(+ (/ (exp (- z)) y) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (exp (- z)) y)
43.0ms	(+ (/ (exp (- z)) y) x)

simplify1.8s

Counts

49 → 49

Iterations

Iter	Nodes
done	5008
3	2325
2	576
1	200
0	89

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

36.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
7.0ms	(cbrt (/ (exp (- z)) y))
7.0ms	(cbrt (/ (exp (- z)) y))
7.0ms	(cbrt (/ (exp (- z)) y))

series449.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
89.0ms	(cbrt (/ (exp (- z)) y))
115.0ms	(cbrt (/ (exp (- z)) y))
118.0ms	(cbrt (/ (exp (- z)) y))

simplify1.8s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
3	2302
2	875
1	362
0	183

prune902.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	751×	body	1280	valid
1.1s	6491×	body	80	valid
679.0ms	962×	body	640	valid
389.0ms	3056×	body	80	nan
297.0ms	580×	body	320	valid
83.0ms	280×	body	160	valid