Details

sample245.0ms

Algorithm

intervals

Results

86.0ms	901×	body	80	nan
66.0ms	294×	body	80	valid

simplify4.5s

Counts

1 → 1

Iterations

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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)

rewrite35.0ms

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` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-+r+`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+ (fma (log y) x z) t)
28.0ms	(+ (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))
1.0ms	(fma (log y) x z)

series1.4s

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (fma (log y) x z) t)
1.1s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
154.0ms	(fma (- b 0.5) (log c) (fma y i a))
89.0ms	(fma (log y) x z)

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1070
1	280
0	119

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (* (log y) x) (+ z t)))
0.0b	(+ (* (log y) x) (+ z t))
0.1b	(fma (- b 0.5) (log c) (fma y i a))
0.2b	(* (log y) x)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
9×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity`
7×	`pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
3×	`associate-r`
2×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `fma-udef`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

39.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (* (log y) x) (+ z t)))
35.0ms	(+ (* (log y) x) (+ z t))
0.0ms	(fma (- b 0.5) (log c) (fma y i a))
13.0ms	(* (log y) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

1.3s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (* (log y) x) (+ z t)))
73.0ms	(+ (* (log y) x) (+ z t))
182.0ms	(fma (- b 0.5) (log c) (fma y i a))
109.0ms	(* (log y) x)

simplify1.9s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1411
1	364
0	143

prune865.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 41

Calls

3 calls:

13.0ms	(+ (fma (log y) x (fma (log c) (- b 0.5) (fma y i a))) (+ z t))
0.0ms	(fma (log y) x (fma (log c) (- b 0.5) (fma y i a)))
0.0ms	(fma (log c) (- b 0.5) (fma y i a))

series1.7s

Counts

3 → 9

Calls

3 calls:

1.2s	(+ (fma (log y) x (fma (log c) (- b 0.5) (fma y i a))) (+ z t))
354.0ms	(fma (log y) x (fma (log c) (- b 0.5) (fma y i a)))
239.0ms	(fma (log c) (- b 0.5) (fma y i a))

simplify2.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5005
3	2792
2	600
1	198
0	89

prune710.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 89

Calls

4 calls:

16.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.6s

Counts

4 → 12

Calls

4 calls:

447.0ms	(* (cbrt (log y)) (cbrt (log y)))
396.0ms	(cbrt (log y))
408.0ms	(cbrt (log y))
356.0ms	(cbrt (log y))

simplify3.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5009
4	4514
3	1237
2	389
1	149
0	66

prune764.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.7s	27875×	body	80	nan
1.3s	9276×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid