Details

sample258.0ms

Algorithm

intervals

Results

96.0ms	93×	body	2560	valid
75.0ms	79×	body	1280	valid
32.0ms	295×	body	80	nan
19.0ms	33×	body	640	valid
9.0ms	24×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.3s

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: 0.9b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.9b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite11.0ms

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)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
5.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.7s

Counts

47 → 47

Iterations

Iter	Nodes
4	4085
3	928
2	344
1	152
0	86

prune398.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* v v) (* v v) (* v v))
0.9b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin` `fma-udef`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (* v v) (* v v) (* v v))
1.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

series486.0ms

Counts

2 → 6

Calls

2 calls:

483.0ms	(fma (* v v) (* v v) (* v v))
3.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

simplify5.4s

Counts

28 → 28

Iterations

Iter	Nodes
5	5470
4	1616
3	378
2	115
1	61
0	38

prune307.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* v v) (* v v) (* v v))
0.0b	(log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
0.0b	(exp (log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
0.9b	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `fma-udef` `rem-exp-log`

Counts

4 → 55

Calls

4 calls:

0.0ms	(fma (* v v) (* v v) (* v v))
1.0ms	(log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
3.0ms	(exp (log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
1.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

series258.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(fma (* v v) (* v v) (* v v))
83.0ms	(log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1)))
3.0ms	(exp (log (acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))))
3.0ms	(acos (fma 4 (fma (* v v) (* v v) (* v v)) -1))

simplify8.7s

Counts

67 → 67

Iterations

Iter	Nodes
5	7255
4	1930
3	500
2	181
1	109
0	71

prune689.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.1b	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
0.9b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
6.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
129.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
202.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.2s

Counts

77 → 77

Iterations

Iter	Nodes
4	4129
3	971
2	384
1	182
0	108

prune951.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

regimes139.0ms

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	12
1	12
0	11

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.0s	2962×	body	2560	valid
2.8s	2538×	body	1280	valid
920.0ms	7944×	body	80	nan
712.0ms	1250×	body	640	valid
256.0ms	648×	body	320	valid
165.0ms	417×	body	160	valid
24.0ms	185×	body	80	valid