Details

sample288.0ms

Algorithm

intervals

Results

111.0ms	819×	body	80	nan
35.0ms	282×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
17.0ms	(+ 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)

series1.6s

Counts

4 → 12

Calls

4 calls:

933.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
84.0ms	(+ a (+ (fma x (log y) z) t))
487.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
83.0ms	(fma x (log y) z)

simplify2.5s

Counts

62 → 62

Iterations

Useful iterations: 3 (666.0ms)

Iter	Nodes	Cost
0	102	864
1	226	843
2	702	739
3	4945	728
done	5000	728

prune377.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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)
0.0ms	(fma x (log y) z)
22.0ms	(* (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)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

459.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
62.0ms	(fma x (log y) z)
55.0ms	(fma x (log y) z)
427.0ms	(* (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)))))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

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

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.4b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.4b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.5b	(* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

rewrite33.0ms

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:

11.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
18.0ms	(* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

series4.1s

Counts

4 → 12

Calls

4 calls:

865.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
851.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
862.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.5s	(* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

simplify922.0ms

Counts

93 → 93

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	155	3242
1	407	3036
2	1633	2757
done	5001	2416

prune918.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.6b	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

30.0ms	(* (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
3.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
4.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

series4.4s

Counts

4 → 12

Calls

4 calls:

1.6s	(* (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))))
1.2s	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
835.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
765.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	178	4532
1	436	4316
2	1655	4012
done	5000	3558

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes971.0ms

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

sample10.4s

Algorithm

intervals

Results

3.4s	27593×	body	80	nan
2.3s	9248×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid