Details

sample215.0ms

Algorithm

intervals

Results

82.0ms	98×	body	2560	valid
53.0ms	83×	body	1280	valid
22.0ms	43×	body	640	valid
21.0ms	228×	body	80	nan
15.0ms	8×	body	80	valid
5.0ms	16×	body	320	valid
2.0ms	8×	body	160	valid

simplify542.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	491
3	180
2	67
1	26
0	9

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0b	(fma (* -5 v) v 1)
0.5b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite7.0ms

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` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

3 → 52

Calls

3 calls:

5.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0ms	(fma (* -5 v) v 1)
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
92.0ms	(fma (* -5 v) v 1)
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify888.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2000
3	1385
2	413
1	165
0	93

prune323.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
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)))))
0.5b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite21.0ms

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:

9.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
7.0ms	(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)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
107.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
160.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
5.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify710.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2006
3	1217
2	432
1	184
0	108

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
0.9b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.9b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
2.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
2.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
20.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
14.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
33.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
5.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify899.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
3	525
2	214
1	128
0	72

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0b	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0b	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0b	(* (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
17.0ms	(* (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
252.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
285.0ms	(cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
290.0ms	(* (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

simplify803.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
3	816
2	311
1	124
0	63

prune556.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes60.0ms

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
done	14
1	14
0	11

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.3s	3026×	body	2560	valid
1.8s	2504×	body	1280	valid
1.2s	7787×	body	80	nan
679.0ms	1229×	body	640	valid
256.0ms	627×	body	320	valid
130.0ms	422×	body	160	valid
25.0ms	192×	body	80	valid