Details

sample171.0ms

Algorithm

intervals

Results

64.0ms	55×	body	1280	valid
33.0ms	42×	body	640	valid
24.0ms	153×	body	80	valid
17.0ms	31×	body	320	valid
12.0ms	96×	body	80	nan
5.0ms	15×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5015
7	2283
6	683
5	290
4	119
3	49
2	24
1	15
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
11.1b	(log (/ x (+ x y)))

rewrite44.0ms

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×	`associate-l` `insert-posit16` `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 → 120

Calls

3 calls:

13.0ms	(/ x (+ x y))
20.0ms	(* x (log (/ x (+ x y))))
6.0ms	(log (/ x (+ x y)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ x (+ x y))
95.0ms	(* x (log (/ x (+ x y))))
59.0ms	(log (/ x (+ x y)))

simplify1.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5018
3	4416
2	891
1	357
0	170

prune450.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize5.0ms

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

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
34.4b	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
10×	`pow1`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`prod-exp`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `log-pow`
2×	`div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
30.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt x)
270.0ms	(cbrt x)
224.0ms	(cbrt x)
86.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5027
4	2124
3	513
2	181
1	78
0	46

prune427.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
35.8b	(log (* (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) (/ (cbrt x) (+ x y))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
14×	`pow1`
13×	`cbrt-prod`
12×	`prod-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `rem-log-exp` `add-cube-cbrt`
6×	`pow-prod-down`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
148.0ms	(log (* (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) (/ (cbrt x) (+ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt x)
369.0ms	(cbrt (* (cbrt x) (cbrt x)))
373.0ms	(cbrt (cbrt x))
94.0ms	(log (* (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) (/ (cbrt x) (+ x y))))

simplify1.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
3	1411
2	417
1	159
0	85

prune468.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.3b

regimes81.0ms

Accuracy

30.9% (5.9b remaining)

Error of 7.0b against oracle of 1.1b and baseline of 9.6b

bsearch85.0ms

Steps

Iters	Range		Point
8	0.0025057527032052505	20.161952647317438	5.639442099966964

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	1532×	body	1280	valid
1.1s	1435×	body	640	valid
767.0ms	3043×	body	80	nan
612.0ms	4881×	body	80	valid
453.0ms	816×	body	320	valid
165.0ms	485×	body	160	valid