Details

sample343.0ms

Algorithm

intervals

Results

156.0ms	933×	body	80	nan
39.0ms	296×	body	80	valid

simplify11.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	424	18
4	1400	18
5	3582	18
done	5000	18

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

1.0s	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
76.0ms	(+ (fma x (log y) z) t)
477.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
75.0ms	(fma x (log y) z)

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	96	797
1	190	773
2	466	684
3	1864	669
done	5000	654

prune434.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:

34.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
2.0ms	(cbrt (fma x (log y) z))

series1.3s

Counts

4 → 12

Calls

4 calls:

360.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
348.0ms	(cbrt (fma x (log y) z))
302.0ms	(cbrt (fma x (log y) z))
301.0ms	(cbrt (fma x (log y) z))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	118	1361
1	258	1253
2	698	1154
3	2398	1021
done	5000	994

prune783.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt (fma x (log y) z))
329.0ms	(cbrt (cbrt (fma x (log y) z)))
337.0ms	(cbrt (cbrt (fma x (log y) z)))
716.0ms	(cbrt (cbrt (fma x (log y) z)))

simplify1.6s

Counts

73 → 73

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	94	977
1	202	952
2	508	886
3	1757	868
done	5000	828

prune642.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (cbrt (fma x (log y) z)))
1.1b	(pow (cbrt (cbrt (fma x (log y) z))) (* 2 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`pow-to-exp` `pow-unpow` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma x (log y) z)))
1.0ms	(cbrt (cbrt (fma x (log y) z)))
1.0ms	(cbrt (cbrt (fma x (log y) z)))
6.0ms	(pow (cbrt (cbrt (fma x (log y) z))) (* 2 3))

series1.4s

Counts

4 → 12

Calls

4 calls:

336.0ms	(cbrt (cbrt (fma x (log y) z)))
348.0ms	(cbrt (cbrt (fma x (log y) z)))
322.0ms	(cbrt (cbrt (fma x (log y) z)))
404.0ms	(pow (cbrt (cbrt (fma x (log y) z))) (* 2 3))

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	116	1284
1	259	1122
2	623	1021
3	2207	971
done	5000	944

prune996.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes767.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	19	18
done	19	18

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.4s	27590×	body	80	nan
2.2s	9177×	body	80	valid
1.0ms	1×	body	640	valid