Details

sample110.0ms

Algorithm

intervals

Results

32.0ms	37×	body	1280	valid
27.0ms	56×	body	640	valid
13.0ms	153×	body	80	valid
9.0ms	30×	body	320	valid
6.0ms	99×	body	80	nan
2.0ms	11×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2074
5	506
4	151
3	52
2	24
1	15
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize15.0ms

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))))
6.2b	(log (/ x (+ x y)))

rewrite120.0ms

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` `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 → 296

Calls

4 calls:

57.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
9.0ms	(/ x (+ x y))
26.0ms	(* x (log (/ x (+ x y))))
8.0ms	(log (/ x (+ x y)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
53.0ms	(/ x (+ x y))
102.0ms	(* x (log (/ x (+ x y))))
58.0ms	(log (/ x (+ x y)))

simplify2.6s

Counts

308 → 308

Iterations

Iter	Nodes
done	5002
2	3240
1	907
0	478

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
6.2b	(log (/ x (+ x y)))

rewrite58.0ms

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` `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 → 123

Calls

3 calls:

10.0ms	(/ x (+ x y))
33.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ x (+ x y))
125.0ms	(* x (log (/ x (+ x y))))
70.0ms	(log (/ x (+ x y)))

simplify1.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1065
1	371
0	173

prune795.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

prune7.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

18.0ms

(/ (exp (- y)) x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (exp (- y)) x)

simplify2.2s

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
3	3427
2	479
1	127
0	66

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

96.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 10.9b

bsearch113.0ms

Steps

Iters	Range		Point
10	1.8858956155785848e-06	573579.0075499975	0.2043583175286355
9	-1.2264121444217956e+41	-3.687013704912239e+33	-4.067600870759581e+34

simplify3.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	16

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	1472×	body	1280	valid
663.0ms	1441×	body	640	valid
400.0ms	4877×	body	80	valid
253.0ms	888×	body	320	valid
146.0ms	3050×	body	80	nan
66.0ms	435×	body	160	valid