Details

sample129.0ms

Algorithm

intervals

Results

41.0ms	47×	body	1280	valid
30.0ms	48×	body	640	valid
20.0ms	166×	body	80	valid
10.0ms	110×	body	80	nan
10.0ms	25×	body	320	valid
4.0ms	14×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(exp (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
9.6b	(log (/ x (+ x y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 175

Calls

4 calls:

9.0ms	(/ x (+ x y))
13.0ms	(exp (* x (log (/ x (+ x y)))))
20.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ x (+ x y))
247.0ms	(exp (* x (log (/ x (+ x y)))))
89.0ms	(* x (log (/ x (+ x y))))
64.0ms	(log (/ x (+ x y)))

simplify2.4s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
3	4422
2	1238
1	562
0	260

prune782.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.3b	(pow (exp x) (log (/ x (+ x y))))
9.6b	(log (/ x (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
10×	`distribute-lft-out`
8×	`add-exp-log`
6×	`pow1` `associate-/r/`
5×	`add-cbrt-cube`
4×	`pow-unpow` `associate-/r*` `pow-pow`
3×	`expm1-log1p-u` `exp-prod` `unpow-prod-down` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `pow-exp` `pow-sub` `sqr-pow`

Counts

3 → 111

Calls

3 calls:

8.0ms	(/ x (+ x y))
10.0ms	(pow (exp x) (log (/ x (+ x y))))
5.0ms	(log (/ x (+ x y)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ x (+ x y))
156.0ms	(pow (exp x) (log (/ x (+ x y))))
61.0ms	(log (/ x (+ x y)))

simplify2.8s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	4490
2	1210
1	480
0	178

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
9.6b	(log (/ x (+ x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(log (/ x (+ x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt x)
274.0ms	(cbrt x)
642.0ms	(cbrt x)
52.0ms	(log (/ x (+ x y)))

simplify2.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5052
4	4033
3	1025
2	396
1	204
0	107

prune501.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (exp x) (log (/ x (+ x y))))
0.3b	(pow (exp x) (log (/ x (+ x y))))
9.6b	(log (/ x (+ x y)))
9.6b	(log (/ x (+ x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

72×	`log-prod`
66×	`*-un-lft-identity`
48×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-up`
12×	`distribute-lft-out`
10×	`pow1` `add-exp-log`
8×	`pow-unpow` `pow-pow` `associate-/r/`
6×	`exp-prod` `unpow-prod-down`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow-to-exp` `div-exp` `pow-exp` `pow-sub` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

12.0ms	(pow (exp x) (log (/ x (+ x y))))
14.0ms	(pow (exp x) (log (/ x (+ x y))))
8.0ms	(log (/ x (+ x y)))
8.0ms	(log (/ x (+ x y)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(pow (exp x) (log (/ x (+ x y))))
181.0ms	(pow (exp x) (log (/ x (+ x y))))
61.0ms	(log (/ x (+ x y)))
67.0ms	(log (/ x (+ x y)))

simplify2.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	5002
3	3024
2	993
1	426
0	160

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

96.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.0b

bsearch168.0ms

Steps

Iters	Range		Point
9	1.766624877482737e-20	1.0095260918041506e-11	9.888607073668458e-12
8	-758.9849144580855	-0.3435485504518341	-274.47601542862543

simplify8.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	1515×	body	1280	valid
1.1s	4904×	body	80	valid
1.1s	1449×	body	640	valid
422.0ms	851×	body	320	valid
361.0ms	3002×	body	80	nan
135.0ms	478×	body	160	valid