Details

sample126.0ms

Algorithm

intervals

Results

44.0ms	47×	body	1280	valid
26.0ms	48×	body	640	valid
16.0ms	166×	body	80	valid
9.0ms	25×	body	320	valid
8.0ms	110×	body	80	nan
3.0ms	14×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize17.0ms

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)))

rewrite46.0ms

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×	`associate-/r` `associate-r*` `insert-posit16`
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 → 167

Calls

4 calls:

10.0ms	(/ x (+ x y))
10.0ms	(exp (* x (log (/ x (+ x y)))))
18.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ x (+ x y))
276.0ms	(exp (* x (log (/ x (+ x y)))))
88.0ms	(* x (log (/ x (+ x y))))
51.0ms	(log (/ x (+ x y)))

simplify1.4s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	1388
1	591
0	252

prune836.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite27.0ms

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×	`exp-prod` `unpow-prod-down` `flip3-+` `flip-+` `insert-posit16` `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 → 105

Calls

3 calls:

14.0ms	(/ x (+ x y))
7.0ms	(pow (exp x) (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series340.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ x (+ x y))
196.0ms	(pow (exp x) (log (/ x (+ x y))))
70.0ms	(log (/ x (+ x y)))

simplify2.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5014
3	4126
2	1156
1	467
0	172

prune514.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite13.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(log (/ x (+ x y)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt x)
263.0ms	(cbrt x)
284.0ms	(cbrt x)
94.0ms	(log (/ x (+ x y)))

simplify2.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
4	3858
3	973
2	383
1	197
0	103

prune445.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

17.0ms

(/ (exp (- y)) x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (exp (- y)) x)

simplify2.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5028
4	2870
3	869
2	317
1	126
0	65

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

85.7% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 6.0b

bsearch157.0ms

Steps

Iters	Range		Point
5	4.58197769107683e+49	1.464867119982274e+50	7.89192717712585e+49
9	-5.491918023017886e+105	-1.900874906741749e+99	-8.159628703454281e+100

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1515×	body	1280	valid
829.0ms	1449×	body	640	valid
645.0ms	851×	body	320	valid
400.0ms	4904×	body	80	valid
251.0ms	3002×	body	80	nan
91.0ms	478×	body	160	valid