Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	255×	body	80	valid
8.0ms	16×	body	640	valid
3.0ms	9×	body	1280	valid
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3252
5	844
4	292
3	111
2	45
1	20
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- t x))
1.8b	(+ x (/ (* (- y z) (- t x)) (- a z)))
17.7b	(/ (* (- y z) (- t x)) (- a z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

41.0ms	(* (- y z) (- t x))
25.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
41.0ms	(/ (* (- y z) (- t x)) (- a z))

series445.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (- y z) (- t x))
223.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
168.0ms	(/ (* (- y z) (- t x)) (- a z))

simplify1.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2584
1	478
0	162

prune551.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
3.5b	(+ x (/ (- y z) (/ (- a z) (- t x))))
5.0b	(/ (- y z) (/ (- a z) (- t x)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

22.0ms	(/ (- a z) (- t x))
73.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
38.0ms	(/ (- y z) (/ (- a z) (- t x)))

series651.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- a z) (- t x))
207.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
372.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify1.0s

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
1	1145
0	352

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- t x))
0.0b	(/ (- y z) (- a z))
2.7b	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))
3.4b	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

1721×	`times-frac`
1222×	`*-un-lft-identity`
1220×	`add-sqr-sqrt`
556×	`add-cube-cbrt`
332×	`distribute-lft-out--` `difference-of-squares`
113×	`associate-/r/`
57×	`flip3--` `div-inv` `flip--`
39×	`associate-/l*`
32×	`add-exp-log`
31×	`associate-/r*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 834

Calls

4 calls:

10.0ms	(/ 1 (- t x))
18.0ms	(/ (- y z) (- a z))
260.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))
53.0ms	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))

series754.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ 1 (- t x))
80.0ms	(/ (- y z) (- a z))
231.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 (- t x))))
379.0ms	(/ (/ (- y z) (- a z)) (/ 1 (- t x)))

simplify2.0s

Counts

846 → 846

Iterations

Iter	Nodes
done	5002
1	3387
0	952

prune3.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.8b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
3.4b	(/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x)))
7.4b	(+ x (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x))))

rewrite734.0ms

Algorithm

rewrite-expression-head

Rules

3743×	`times-frac`
1804×	`*-un-lft-identity`
1802×	`add-sqr-sqrt`
914×	`add-cube-cbrt`
560×	`cbrt-prod`
444×	`distribute-lft-out--` `difference-of-squares`
171×	`associate-/r/`
97×	`div-inv`
81×	`add-exp-log`
76×	`flip3--` `flip--`
54×	`div-exp`
51×	`associate-/l*`
48×	`cbrt-div`
33×	`add-cbrt-cube`
27×	`cbrt-undiv`
21×	`associate-/r*`
8×	`prod-exp`
6×	`add-log-exp`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 1227

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
80.0ms	(/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x)))
461.0ms	(+ x (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (- y z))
266.0ms	(cbrt (- y z))
367.0ms	(/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x)))
267.0ms	(+ x (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (/ 1 (- t x))))

simplify2.7s

Counts

1239 → 1239

Iterations

Iter	Nodes
done	5001
0	1516

prune7.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

regimes700.0ms

Accuracy

23.8% (6.3b remaining)

Error of 9.9b against oracle of 3.6b and baseline of 11.8b

bsearch120.0ms

Steps

Iters	Range		Point
3	1.0100978739775639e+148	1.2609301340697787e+148	1.1198369877679078e+148
7	-6.1363529940138904e+128	-5.477123564721747e+126	-1.4139722896548175e+128

simplify9.0ms

Iterations

Iter	Nodes
done	41
1	41
0	34

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	7766×	body	80	valid
127.0ms	509×	body	640	valid
119.0ms	261×	body	1280	valid
72.0ms	408×	body	320	valid
68.0ms	260×	body	160	valid
8.0ms	14×	body	2560	valid