Details

sample228.0ms

Algorithm

intervals

Results

108.0ms	90×	body	2560	valid
49.0ms	81×	body	1280	valid
25.0ms	284×	body	80	nan
18.0ms	42×	body	640	valid
6.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid
2.0ms	14×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

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)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
5.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.0s

Counts

47 → 47

Iterations

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

prune465.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

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

rewrite6.0ms

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:

0.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
4.0ms	(/ (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)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
117.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
179.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.7s

Counts

77 → 77

Iterations

Iter	Nodes
4	4349
3	1001
2	380
1	184
0	108

prune936.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
12×	`prod-diff`
11×	`add-log-exp`
9×	`times-frac`
7×	`add-exp-log`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `pow1` `fma-neg` `insert-posit16` `log1p-expm1-u`
3×	`acos-asin` `associate-/r` `fma-def` `associate-/l`
2×	`associate-+r-` `sum-log` `diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `cbrt-undiv` `+-commutative` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `difference-of-sqr-1` `div-exp` `associate--l+` `flip-+` `div-inv` `flip--`

Counts

4 → 100

Calls

4 calls:

5.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
12.0ms	(+ 1 (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
35.0ms	(- (+ 1 (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) 1)
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
8.0ms	(+ 1 (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
3.0ms	(- (+ 1 (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) 1)
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify5.1s

Counts

112 → 112

Iterations

Iter	Nodes
4	7104
3	1742
2	732
1	325
0	159

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0b	(expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
0.1b	(expm1 (expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite6.0ms

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×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p` `expm1-udef`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 65

Calls

4 calls:

4.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0ms	(expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
0.0ms	(expm1 (expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
226.0ms	(expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
283.0ms	(expm1 (expm1 (log1p (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.2s

Counts

77 → 77

Iterations

Iter	Nodes
4	4296
3	1016
2	380
1	185
0	111

prune925.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes42.0ms

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	15
1	15
0	11

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.8s	3008×	body	2560	valid
1.9s	2515×	body	1280	valid
1.3s	8083×	body	80	nan
1.0s	1251×	body	640	valid
260.0ms	602×	body	320	valid
132.0ms	397×	body	160	valid
29.0ms	227×	body	80	valid