Details

sample285.0ms

Algorithm

intervals

Results

86.0ms	965×	body	80	nan
73.0ms	306×	body	80	valid
0.0ms	1×	body	320	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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

rewrite3.0ms

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

series1.6s

Counts

3 → 9

Calls

3 calls:

1.1s	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
478.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
86.0ms	(fma x (log y) z)

simplify773.0ms

Counts

39 → 39

Iterations

Useful iterations: done (770.0ms)

Iter	Nodes	Cost
0	73	593
1	124	586
2	276	502
3	1020	494
done	5001	484

prune181.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

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)))))

rewrite21.0ms

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)
18.0ms	(* (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:

572.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
67.0ms	(fma x (log y) z)
87.0ms	(fma x (log y) z)
468.0ms	(* (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)))))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	103	2437
1	175	1633
2	424	1419
3	1524	1318
done	5001	1240

prune504.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.5b	(pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)
0.6b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`unpow-prod-down`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`associate-l`
10×	`add-exp-log` `unswap-sqr`
6×	`pow1` `associate-r`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow-exp`
1×	`pow1/2` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

35.0ms	(* (pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
12.0ms	(pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)
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))))

series3.8s

Counts

4 → 12

Calls

4 calls:

558.0ms	(* (pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
1.6s	(pow (sqrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)
807.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
807.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	4025
1	534	3810
2	1476	3032
done	5000	2821

prune840.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0b	(pow (sqrt (cbrt (* (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))))))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
6×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`sqrt-pow1`
1×	`pow-to-exp` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
6.0ms	(pow (sqrt (cbrt (* (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))))))) 4)

series6.9s

Counts

4 → 12

Calls

4 calls:

736.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
652.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
688.0ms	(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
4.9s	(pow (sqrt (cbrt (* (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))))))) 4)

simplify754.0ms

Counts

78 → 78

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	192	2914
1	483	2772
2	1444	2565
done	5000	2370

prune658.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

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	17	18
1	19	18
done	19	18

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.5s	27805×	body	80	nan
1.8s	9166×	body	80	valid
2.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid