Details

sample119.0ms

Algorithm

intervals

Results

36.0ms	48×	body	1280	valid
19.0ms	39×	body	640	valid
15.0ms	164×	body	80	valid
8.0ms	24×	body	320	valid
8.0ms	103×	body	80	nan
3.0ms	15×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize75.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 126

Calls

3 calls:

37.0ms	(/ x (+ x y))
64.0ms	(* x (log (/ x (+ x y))))
15.0ms	(log (/ x (+ x y)))

series329.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ x (+ x y))
145.0ms	(* x (log (/ x (+ x y))))
103.0ms	(log (/ x (+ x y)))

simplify7.0s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
3	3749
2	804
1	341
0	176

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize174.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
33.0b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`associate-l/` `associate-r/` `add-exp-log`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 178

Calls

4 calls:

19.0ms	(cbrt (+ x y))
19.0ms	(cbrt (+ x y))
19.0ms	(cbrt (+ x y))
106.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (+ x y))
269.0ms	(cbrt (+ x y))
322.0ms	(cbrt (+ x y))
160.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify3.8s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	1736
1	892
0	398

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize498.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
5.0b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
11.0b	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
24.8b	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

379×	`cbrt-prod`
220×	`times-frac`
202×	`log-prod`
170×	`cbrt-div`
131×	`*-un-lft-identity`
106×	`associate-/r/`
95×	`add-sqr-sqrt` `add-cube-cbrt`
79×	`flip3-+` `flip-+`
52×	`frac-times`
26×	`associate-l/` `associate-r/`
18×	`distribute-lft-out`
14×	`div-inv`
13×	`add-exp-log`
6×	`pow1`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`log-div` `pow1/3` `log-pow`
1×	`prod-exp`

Counts

4 → 285

Calls

4 calls:

68.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
55.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
47.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
66.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

series1.7s

Counts

4 → 12

Calls

4 calls:

640.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
625.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
169.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
270.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

simplify5.2s

Counts

297 → 297

Iterations

Iter	Nodes
done	5001
2	2046
1	1185
0	688

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes331.0ms

Accuracy

49.7% (4.4b remaining)

Error of 5.6b against oracle of 1.2b and baseline of 10.0b

bsearch208.0ms

Steps

Iters	Range		Point
10	1.2992002808021224e+187	1.4026291920716977e+200	2.5159502131974188e+194
6	2.4360020063759253e-22	2.1227779759431853e-21	2.081714116143433e-21

simplify44.0ms

Iterations

Iter	Nodes
done	52
1	52
0	45

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.4s	1495×	body	1280	valid
897.0ms	1436×	body	640	valid
722.0ms	853×	body	320	valid
583.0ms	4901×	body	80	valid
303.0ms	3199×	body	80	nan
150.0ms	449×	body	160	valid