Details

sample136.0ms

Algorithm

intervals

Results

49.0ms	51×	body	1280	valid
27.0ms	42×	body	640	valid
20.0ms	160×	body	80	valid
10.0ms	106×	body	80	nan
9.0ms	21×	body	320	valid
3.0ms	11×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1916
6	531
5	212
4	89
3	41
2	22
1	15
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize33.0ms

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)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
228×	`*-un-lft-identity`
198×	`log-prod`
151×	`add-sqr-sqrt`
149×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
48×	`associate-/l*`
38×	`distribute-lft-out`
24×	`associate-/r/`
14×	`add-exp-log`
13×	`div-inv`
12×	`flip3-+` `flip-+`
11×	`associate-/r*`
10×	`log-div` `add-cbrt-cube`
8×	`pow1`
6×	`clear-num` `log-rec`
4×	`div-exp` `associate-r` `distribute-rgt-neg-out` `insert-posit16` `add-log-exp`
3×	`frac-2neg` `associate-l`
2×	`exp-neg` `cbrt-undiv` `rem-log-exp` `log-pow` `associate-/l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 308

Calls

4 calls:

89.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
11.0ms	(/ x (+ x y))
23.0ms	(* x (log (/ x (+ x y))))
30.0ms	(log (/ x (+ x y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
70.0ms	(/ x (+ x y))
143.0ms	(* x (log (/ x (+ x y))))
84.0ms	(log (/ x (+ x y)))

simplify2.2s

Counts

320 → 320

Iterations

Iter	Nodes
done	5001
2	2170
1	916
0	490

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (* x (log (/ (+ x y) x)))))
0.0b	(/ 1 (* x (exp (* x (log (/ (+ x y) x))))))
0.1b	(* x (log (/ (+ x y) x)))
9.9b	(log (/ (+ x y) x))

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

310×	`times-frac`
273×	`*-un-lft-identity`
237×	`add-sqr-sqrt`
228×	`log-prod`
180×	`exp-sum`
179×	`associate-r`
175×	`add-cube-cbrt`
106×	`distribute-rgt-in` `distribute-lft-in`
51×	`associate-/r*`
46×	`distribute-lft-out`
27×	`add-exp-log`
26×	`unswap-sqr`
19×	`associate-/l*`
18×	`associate-l` `log-rec`
15×	`distribute-rgt-neg-out`
14×	`div-inv`
13×	`pow1` `add-cbrt-cube`
12×	`exp-neg` `log-div`
9×	`prod-exp`
8×	`clear-num`
7×	`div-exp`
6×	`associate-r/` `associate-/r/` `un-div-inv` `-commutative`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-prod-down` `cbrt-unprod`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `log-pow` `pow-flip` `associate-/l/`
1×	`flip3-+` `flip-+` `inv-pow`

Counts

4 → 385

Calls

4 calls:

182.0ms	(* x (exp (* x (log (/ (+ x y) x)))))
412.0ms	(/ 1 (* x (exp (* x (log (/ (+ x y) x))))))
31.0ms	(* x (log (/ (+ x y) x)))
24.0ms	(log (/ (+ x y) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

441.0ms	(* x (exp (* x (log (/ (+ x y) x)))))
396.0ms	(/ 1 (* x (exp (* x (log (/ (+ x y) x))))))
138.0ms	(* x (log (/ (+ x y) x)))
102.0ms	(log (/ (+ x y) x))

simplify2.8s

Counts

397 → 397

Iterations

Iter	Nodes
done	5002
2	2818
1	1348
0	538

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

160×	`cbrt-prod`
145×	`*-un-lft-identity`
138×	`log-prod`
126×	`times-frac`
98×	`add-sqr-sqrt` `add-cube-cbrt`
54×	`log-div`
24×	`associate-/l*`
22×	`distribute-lft-out`
18×	`associate-/r*`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`clear-num` `rem-log-exp` `log-rec` `associate-/l/`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `add-log-exp`
3×	`frac-2neg` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 246

Calls

4 calls:

4.0ms	(cbrt (+ x y))
25.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))
21.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))
21.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (+ x y))
123.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))
138.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))
156.0ms	(log (/ (cbrt (+ x y)) (cbrt x)))

simplify3.0s

Counts

258 → 258

Iterations

Iter	Nodes
done	5000
4	4481
3	1905
2	731
1	397
0	219

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

95.9% (0.2b remaining)

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

bsearch224.0ms

Steps

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

simplify21.0ms

Iterations

Iter	Nodes
done	42
3	42
2	41
1	37
0	26

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.7s	1482×	body	1280	valid
1.1s	1440×	body	640	valid
822.0ms	4901×	body	80	valid
388.0ms	813×	body	320	valid
339.0ms	3068×	body	80	nan
130.0ms	454×	body	160	valid