Details

sample108.0ms

Algorithm

intervals

Results

42.0ms	55×	body	1280	valid
21.0ms	42×	body	640	valid
13.0ms	153×	body	80	valid
9.0ms	31×	body	320	valid
6.0ms	96×	body	80	nan
3.0ms	15×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2012
6	545
5	216
4	91
3	41
2	22
1	15
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize32.0ms

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)))

rewrite60.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 126

Calls

3 calls:

21.0ms	(/ x (+ x y))
26.0ms	(* x (log (/ x (+ x y))))
8.0ms	(log (/ x (+ x y)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ x (+ x y))
137.0ms	(* x (log (/ x (+ x y))))
87.0ms	(log (/ x (+ x y)))

simplify2.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
3	3821
2	791
1	329
0	176

prune557.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

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

prune27.0ms

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))))

rewrite51.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `log-pow`
2×	`div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)
46.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

series897.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt x)
238.0ms	(cbrt x)
269.0ms	(cbrt x)
103.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5020
4	2408
3	504
2	173
1	82
0	50

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize51.0ms

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))))

rewrite161.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
154.0ms	(log (* (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) (/ (cbrt x) (+ x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt x)
466.0ms	(cbrt (* (cbrt x) (cbrt x)))
390.0ms	(cbrt (cbrt x))
74.0ms	(log (* (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) (/ (cbrt x) (+ x y))))

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	4753
3	1190
2	393
1	167
0	93

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.3b

regimes126.0ms

Accuracy

30.9% (5.9b remaining)

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

bsearch96.0ms

Steps

Iters	Range		Point
8	0.0025057527032052505	20.161952647317438	5.639442099966964

simplify9.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1532×	body	1280	valid
701.0ms	1435×	body	640	valid
640.0ms	816×	body	320	valid
517.0ms	4881×	body	80	valid
274.0ms	3043×	body	80	nan
93.0ms	485×	body	160	valid