Details

sample115.0ms

Algorithm

intervals

Results

45.0ms	51×	body	1280	valid
22.0ms	42×	body	640	valid
16.0ms	160×	body	80	valid
9.0ms	106×	body	80	nan
7.0ms	21×	body	320	valid
3.0ms	11×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2012
6	545
5	216
4	91
3	41
2	22
1	15
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
9.0b	(log (/ x (+ x y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`flip3-+` `add-exp-log` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 300

Calls

4 calls:

36.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
11.0ms	(/ x (+ x y))
13.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
53.0ms	(/ x (+ x y))
104.0ms	(* x (log (/ x (+ x y))))
76.0ms	(log (/ x (+ x y)))

simplify1.9s

Counts

312 → 312

Iterations

Iter	Nodes
done	5005
2	2057
1	891
0	482

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
2.6b	(log (/ (cbrt x) (cbrt (+ x y))))
3.6b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
53×	`cbrt-prod`
50×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`rem-log-exp`
6×	`pow1`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `associate-l/` `associate-r/` `log-pow` `div-inv`

Counts

4 → 126

Calls

4 calls:

5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
14.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (+ x y))
223.0ms	(cbrt (+ x y))
103.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
92.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify1.8s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
3	2560
2	967
1	501
0	253

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
2.6b	(log (/ (cbrt x) (cbrt (+ x y))))
2.6b	(log (/ (cbrt x) (cbrt (+ x y))))
2.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite49.0ms

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×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 203

Calls

4 calls:

5.0ms	(cbrt (+ x y))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (+ x y))
72.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
83.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
108.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.7s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
3	1911
2	706
1	369
0	195

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
6.6b	(cbrt (/ x (+ x y)))
6.6b	(cbrt (/ x (+ x y)))
6.6b	(cbrt (/ x (+ x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
46×	`*-un-lft-identity`
36×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`pow1`
9×	`pow1/3` `log-pow` `distribute-lft-out`
7×	`cbrt-div` `add-exp-log`
6×	`associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `flip-+` `div-inv`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `log-prod` `pow-plus` `associate-l/` `prod-exp` `associate-r/`

Counts

4 → 115

Calls

4 calls:

12.0ms	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
3.0ms	(cbrt (/ x (+ x y)))
7.0ms	(cbrt (/ x (+ x y)))
6.0ms	(cbrt (/ x (+ x y)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(log (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))))
186.0ms	(cbrt (/ x (+ x y)))
153.0ms	(cbrt (/ x (+ x y)))
176.0ms	(cbrt (/ x (+ x y)))

simplify2.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
5	4654
4	1767
3	688
2	325
1	180
0	110

prune913.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

96.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.5b

bsearch205.0ms

Steps

Iters	Range		Point
7	2.2608459371195293	315.1021581913647	12.791495951037414
9	-1.173581419820834e+77	-5.389788625707826e+67	-2.122144077215159e+68

simplify28.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.9s	1482×	body	1280	valid
1.1s	1440×	body	640	valid
636.0ms	4901×	body	80	valid
420.0ms	813×	body	320	valid
384.0ms	3068×	body	80	nan
123.0ms	454×	body	160	valid