Details

sample301.0ms

Algorithm

intervals

Results

152.0ms	878×	body	80	nan
76.0ms	297×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3746
4	1256
3	332
2	107
1	39
0	20

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite860.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`add-log-exp`
17×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
7×	`associate-+l+`
6×	`associate-+r+` `fma-def` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

14.0ms	(+ (* x (log y)) z)
786.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
42.0ms	(* (- b 0.5) (log c))
14.0ms	(* x (log y))

series563.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* x (log y)) z)
320.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
96.0ms	(* (- b 0.5) (log c))
48.0ms	(* x (log y))

simplify2.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5004
2	2312
1	677
0	253

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`fma-def`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `pow1/3` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 66

Calls

4 calls:

40.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
267.0ms	(cbrt y)
256.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	3251
2	669
1	175
0	70

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`cbrt-prod` `fma-def`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `sum-log` `unpow-prod-down`
2×	`pow1/3`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `pow-pow` `flip3-+` `distribute-rgt-out` `unpow1/3` `count-2` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

58.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (pow y 1/3)) x))
299.0ms	(cbrt y)
239.0ms	(cbrt y)
274.0ms	(pow y 1/3)

simplify2.9s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3625
2	897
1	299
0	105

prune920.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series1.7s

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt y)
427.0ms	(cbrt (cbrt y))
438.0ms	(cbrt (cbrt y))
489.0ms	(cbrt (cbrt y))

simplify2.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5003
5	3556
4	917
3	363
2	176
1	83
0	48

prune826.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.1s	28250×	body	80	nan
2.1s	9205×	body	80	valid
1.0ms	1×	body	640	valid
1.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid