Details

sample114.0ms

Algorithm

intervals

Results

35.0ms	43×	body	1280	valid
24.0ms	51×	body	640	valid
13.0ms	155×	body	80	valid
7.0ms	22×	body	320	valid
6.0ms	89×	body	80	nan
2.0ms	10×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize42.0ms

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))))
10.0b	(log (/ x (+ x y)))

rewrite121.0ms

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:

15.0ms	(/ x (+ x y))
24.0ms	(exp (* x (log (/ x (+ x y)))))
57.0ms	(* x (log (/ x (+ x y))))
9.0ms	(log (/ x (+ x y)))

series874.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ x (+ x y))
503.0ms	(exp (* x (log (/ x (+ x y)))))
189.0ms	(* x (log (/ x (+ x y))))
100.0ms	(log (/ x (+ x y)))

simplify6.8s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
3	4369
2	1205
1	543
0	252

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
3.1b	(log (/ (cbrt x) (cbrt (+ x y))))
3.1b	(log (/ (cbrt x) (cbrt (+ x y))))
3.1b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 192

Calls

4 calls:

2.0ms	(cbrt x)
14.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
13.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
13.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt x)
179.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
189.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
127.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify6.0s

Counts

204 → 204

Iterations

Iter	Nodes
done	5002
4	3957
3	1483
2	548
1	320
0	175

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

33.0ms

(/ (exp (- y)) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (exp (- y)) x)

simplify5.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	2622
3	838
2	319
1	126
0	65

prune318.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp y))
0.0b	(/ 1 (* x (exp y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`pow1`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`div-exp` `prod-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `cbrt-unprod` `insert-posit16` `pow-flip` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `div-inv` `inv-pow` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

16.0ms	(* x (exp y))
33.0ms	(/ 1 (* x (exp y)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (exp y))
73.0ms	(/ 1 (* x (exp y)))

simplify3.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
3	1515
2	412
1	177
0	79

prune387.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

95.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.7b

bsearch248.0ms

Steps

Iters	Range		Point
10	0.17679972651571432	2590629949647.022	7.112053666365073
8	-6.465553349696891e+100	-4.272793295315361e+97	-4.909420533601188e+97

simplify20.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1539×	body	1280	valid
729.0ms	1479×	body	640	valid
489.0ms	472×	body	160	valid
403.0ms	4811×	body	80	valid
249.0ms	819×	body	320	valid
184.0ms	2957×	body	80	nan