Details

sample296.0ms

Algorithm

intervals

Results

132.0ms	90×	body	2560	valid
70.0ms	84×	body	1280	valid
37.0ms	286×	body	80	nan
25.0ms	39×	body	640	valid
11.0ms	24×	body	320	valid
3.0ms	10×	body	160	valid
2.0ms	9×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	3442
5	1136
4	460
3	180
2	67
1	26
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 41

Calls

2 calls:

9.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
5.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
4	4258
3	960
2	344
1	154
0	86

prune326.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

3 → 53

Calls

3 calls:

8.0ms	(/ (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)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
191.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
4	4319
3	994
2	362
1	169
0	98

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
22×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`acos-asin` `expm1-log1p` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `expm1-udef`

Counts

4 → 116

Calls

4 calls:

15.0ms	(* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1)))
5.0ms	(/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))
0.0ms	(expm1 (log1p (acos (* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))))))
1.0ms	(acos (* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1)))
180.0ms	(/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))
190.0ms	(expm1 (log1p (acos (* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))))))
5.0ms	(acos (* (sqrt (fma (* -5 v) v 1)) (/ (sqrt (fma (* -5 v) v 1)) (fma v v -1))))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
3	3755
2	1216
1	410
0	185

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 1 expressions with local error:

0.6b	(acos (fma (* v v) (fma (* v v) 4 4) -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:

1.0ms

(acos (fma (* v v) (fma (* v v) 4 4) -1))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(acos (fma (* v v) (fma (* v v) 4 4) -1))

simplify2.8s

Counts

14 → 14

Iterations

Iter	Nodes
7	2093
6	1706
5	1067
4	514
3	169
2	75
1	41
0	25

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.3s	3046×	body	2560	valid
2.2s	2429×	body	1280	valid
964.0ms	7868×	body	80	nan
787.0ms	1263×	body	640	valid
287.0ms	632×	body	320	valid
105.0ms	416×	body	160	valid
28.0ms	214×	body	80	valid