Details

sample216.0ms

Algorithm

intervals

Results

92.0ms	966×	body	80	nan
29.0ms	296×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (log y) x z) t)
0.0b	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.1b	(fma (- b 0.5) (log c) (fma y i a))
0.1b	(fma (log y) x z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `sum-log` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-+r+`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ (fma (log y) x z) t)
17.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.0ms	(fma (- b 0.5) (log c) (fma y i a))
0.0ms	(fma (log y) x z)

series1.5s

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (fma (log y) x z) t)
1.2s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
169.0ms	(fma (- b 0.5) (log c) (fma y i a))
108.0ms	(fma (log y) x z)

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
2	1085
1	285
0	123

prune829.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

21.0ms	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))

series1.2s

Counts

4 → 12

Calls

4 calls:

440.0ms	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
243.0ms	(cbrt (fma (log y) x z))
245.0ms	(cbrt (fma (log y) x z))
280.0ms	(cbrt (fma (log y) x z))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	2602
2	801
1	285
0	119

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 56

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))

series1.4s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (fma (log y) x z))
624.0ms	(cbrt (fma (log y) x z))
258.0ms	(cbrt (fma (log y) x z))
243.0ms	(cbrt (fma (log y) x z))

simplify3.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	4409
3	1139
2	329
1	129
0	62

prune968.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))
0.6b	(cbrt (fma (log y) x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 56

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
1.0ms	(cbrt (fma (log y) x z))
2.0ms	(cbrt (fma (log y) x z))

series981.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma (log y) x z))
231.0ms	(cbrt (fma (log y) x z))
265.0ms	(cbrt (fma (log y) x z))
235.0ms	(cbrt (fma (log y) x z))

simplify3.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	4409
3	1139
2	329
1	129
0	62

prune915.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	19

end0.0ms

sample8.5s

Algorithm

intervals

Results

4.7s	27462×	body	80	nan
1.7s	9119×	body	80	valid
3.0ms	4×	body	640	valid