Details

sample285.0ms

Algorithm

intervals

Results

119.0ms	957×	body	80	nan
34.0ms	304×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	448	18
4	1850	18
done	5000	18

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

Calls

3 calls:

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

series1.4s

Counts

3 → 9

Calls

3 calls:

940.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
411.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
63.0ms	(fma x (log y) z)

simplify783.0ms

Counts

39 → 39

Iterations

Useful iterations: done (781.0ms)

Iter	Nodes	Cost
0	73	593
1	127	586
2	303	502
3	1454	494
done	5001	484

prune299.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 35

Calls

3 calls:

13.0ms	(+ (* y i) (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms	(fma x (log y) z)

series1.4s

Counts

3 → 9

Calls

3 calls:

870.0ms	(+ (* y i) (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
407.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
99.0ms	(fma x (log y) z)

simplify2.4s

Counts

44 → 44

Iterations

Useful iterations: 3 (688.0ms)

Iter	Nodes	Cost
0	86	773
1	198	703
2	688	649
3	4439	641
done	5000	641

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.2b	(fma x (log y) z)
0.2b	(fma x (log y) z)
0.3b	(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)
1.0ms	(fma x (log y) z)
41.0ms	(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

527.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
71.0ms	(fma x (log y) z)
78.0ms	(fma x (log y) z)
475.0ms	(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	103	2437
1	192	1633
2	508	1419
3	2682	1318
done	5001	1240

prune556.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 81

Calls

4 calls:

21.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
2.0ms	(cbrt (fma x (log y) z))
2.0ms	(cbrt (fma x (log y) z))
2.0ms	(cbrt (fma x (log y) z))

series1.2s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
338.0ms	(cbrt (fma x (log y) z))
304.0ms	(cbrt (fma x (log y) z))
275.0ms	(cbrt (fma x (log y) z))

simplify938.0ms

Counts

93 → 93

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	118	1361
1	290	1253
2	1076	1154
done	5000	1072

prune952.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes984.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	22	19
done	22	19

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.1s	27905×	body	80	nan
1.2s	9236×	body	80	valid
4.0ms	3×	body	320	valid