Details

sample287.0ms

Algorithm

intervals

Results

107.0ms	966×	body	80	nan
29.0ms	296×	body	80	valid

simplify7.9s

Counts

1 → 1

Iterations

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

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

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)

rewrite57.0ms

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:

25.0ms	(+ (fma (log y) x z) t)
26.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
1.0ms	(fma (- b 0.5) (log c) (fma y i a))
1.0ms	(fma (log y) x z)

series2.1s

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (fma (log y) x z) t)
1.6s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
255.0ms	(fma (- b 0.5) (log c) (fma y i a))
133.0ms	(fma (log y) x z)

simplify2.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1080
1	285
0	123

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize126.0ms

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))

rewrite25.0ms

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:

16.0ms	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
2.0ms	(cbrt (fma (log y) x z))
2.0ms	(cbrt (fma (log y) x z))
2.0ms	(cbrt (fma (log y) x z))

series2.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
463.0ms	(cbrt (fma (log y) x z))
483.0ms	(cbrt (fma (log y) x z))
503.0ms	(cbrt (fma (log y) x z))

simplify4.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	2658
2	797
1	285
0	119

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize258.0ms

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))

rewrite8.0ms

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:

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

series2.0s

Counts

4 → 12

Calls

4 calls:

490.0ms	(cbrt (fma (log y) x z))
464.0ms	(cbrt (fma (log y) x z))
544.0ms	(cbrt (fma (log y) x z))
550.0ms	(cbrt (fma (log y) x z))

simplify6.9s

Counts

68 → 68

Iterations

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

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize296.0ms

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))

rewrite9.0ms

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:

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

series1.8s

Counts

4 → 12

Calls

4 calls:

443.0ms	(cbrt (fma (log y) x z))
458.0ms	(cbrt (fma (log y) x z))
477.0ms	(cbrt (fma (log y) x z))
442.0ms	(cbrt (fma (log y) x z))

simplify6.7s

Counts

68 → 68

Iterations

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

prune1.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes4.9s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	20
1	20
0	19

end0.0ms

sample10.1s

Algorithm

intervals

Results

3.8s	27462×	body	80	nan
1.2s	9119×	body	80	valid
2.0ms	4×	body	640	valid