Details

sample213.0ms

Algorithm

intervals

Results

107.0ms	859×	body	80	nan
39.0ms	296×	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

prune17.0ms

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)

rewrite48.0ms

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)
37.0ms	(+ (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)

series1.4s

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (fma (log y) x z) t)
1.0s	(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
191.0ms	(fma (- b 0.5) (log c) (fma y i a))
97.0ms	(fma (log y) x z)

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
2	1085
1	285
0	123

prune706.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (fma (log y) x z))
51.0ms	(+ (+ (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)

series2.1s

Counts

4 → 12

Calls

4 calls:

663.0ms	(+ (fma (- b 0.5) (log c) (fma y i a)) (fma (log y) x z))
1.1s	(+ (+ (fma (- b 0.5) (log c) (fma y i a)) (fma (log y) x z)) t)
167.0ms	(fma (- b 0.5) (log c) (fma y i a))
125.0ms	(fma (log y) x z)

simplify3.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4969
2	913
1	273
0	121

prune789.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(+ (fma (log y) x (fma (- b 0.5) (log c) (fma i y a))) z)
57.0ms	(+ (+ (fma (log y) x (fma (- b 0.5) (log c) (fma i y a))) z) t)
0.0ms	(fma (log y) x (fma (- b 0.5) (log c) (fma i y a)))
1.0ms	(fma (- b 0.5) (log c) (fma i y a))

series2.0s

Counts

4 → 12

Calls

4 calls:

574.0ms	(+ (fma (log y) x (fma (- b 0.5) (log c) (fma i y a))) z)
953.0ms	(+ (+ (fma (log y) x (fma (- b 0.5) (log c) (fma i y a))) z) t)
313.0ms	(fma (log y) x (fma (- b 0.5) (log c) (fma i y a)))
203.0ms	(fma (- b 0.5) (log c) (fma i y a))

simplify2.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	2935
2	676
1	244
0	111

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite4.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

3.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
878.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
53.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

702.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
268.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
60.0ms	(* (- b 0.5) (log c))
58.0ms	(* x (log y))

simplify2.7s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	2547
1	693
0	260

prune997.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	17

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.1s	27306×	body	80	nan
1.4s	9204×	body	80	valid
3.0ms	6×	body	640	valid