Details

sample219.0ms

Algorithm

intervals

Results

81.0ms	90×	body	2560	valid
63.0ms	70×	body	1280	valid
24.0ms	50×	body	640	valid
23.0ms	247×	body	80	nan
10.0ms	30×	body	320	valid
2.0ms	9×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	3462
5	1131
4	454
3	177
2	65
1	24
0	9

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 1 expressions with local error:

0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.7s

Counts

14 → 14

Iterations

Iter	Nodes
9	2970
8	1068
7	497
6	236
5	129
4	74
3	51
2	38
1	29
0	23

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.0b	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

3 → 35

Calls

3 calls:

1.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
187.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.6s

Counts

44 → 44

Iterations

Iter	Nodes
9	4155
8	1513
7	698
6	347
5	200
4	124
3	91
2	73
1	60
0	45

prune519.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 1 expressions with local error:

0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify4.0s

Counts

14 → 14

Iterations

Iter	Nodes
9	2970
8	1068
7	497
6	236
5	129
4	74
3	51
2	38
1	29
0	23

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
0.6b	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
1.0b	(* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
1.0b	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `acos-asin` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

2.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
2.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
31.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
26.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
4.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
59.0ms	(* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1))))
6.0ms	(cbrt (* (* (acos (/ (fma -5 (* v v) 1) (fma v v -1))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))) (acos (/ (fma -5 (* v v) 1) (fma v v -1)))))

simplify4.7s

Counts

78 → 78

Iterations

Iter	Nodes
5	4245
4	1449
3	714
2	313
1	141
0	65

prune864.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.9s	2936×	body	2560	valid
2.4s	2554×	body	1280	valid
1.2s	7984×	body	80	nan
675.0ms	1249×	body	640	valid
234.0ms	662×	body	320	valid
99.0ms	410×	body	160	valid
25.0ms	189×	body	80	valid