Details

sample242.0ms

Algorithm

intervals

Results

123.0ms	108×	body	2560	valid
50.0ms	74×	body	1280	valid
25.0ms	257×	body	80	nan
19.0ms	40×	body	640	valid
6.0ms	14×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	9×	body	80	valid

simplify2.1s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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:

Slowest

9.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
2.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))
1.0ms	(fma -5 (* v v) 1)

series178.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

101.0ms	(/ (fma -5 (* v v) 1) (fma v v -1))
71.0ms	(fma -5 (* v v) 1)
5.0ms	(acos (/ (fma -5 (* v v) 1) (fma v v -1)))

simplify2.2s

Counts: 61 → 61

prune651.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.6b	(acos (/ (fma (* v v) -5 1) (fma v v -1)))
0.0b	(/ (fma (* v v) -5 1) (fma v v -1))
0.0b	(fma (* v v) -5 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` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

3 → 52

Calls

3 calls:

Slowest

8.0ms	(/ (fma (* v v) -5 1) (fma v v -1))
2.0ms	(acos (/ (fma (* v v) -5 1) (fma v v -1)))
0.0ms	(fma (* v v) -5 1)

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(fma (* v v) -5 1)
77.0ms	(/ (fma (* v v) -5 1) (fma v v -1))
5.0ms	(acos (/ (fma (* v v) -5 1) (fma v v -1)))

simplify2.3s

Counts: 61 → 61

prune588.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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

Counts

4 → 64

Calls

4 calls:

Slowest

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

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(expm1 (log1p (acos (/ (fma (* v v) -5 1) (fma v v -1)))))
87.0ms	(fma (* v v) -5 1)
85.0ms	(/ (fma (* v v) -5 1) (fma v v -1))
5.0ms	(acos (/ (fma (* v v) -5 1) (fma v v -1)))

simplify2.2s

Counts: 76 → 76

prune911.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`acos-asin` `associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

Slowest

13.0ms	(/ 1 (/ (fma v v -1) (fma -5 (* v v) 1)))
8.0ms	(/ (fma v v -1) (fma -5 (* v v) 1))
2.0ms	(acos (/ 1 (/ (fma v v -1) (fma -5 (* v v) 1))))
0.0ms	(fma -5 (* v v) 1)

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(/ 1 (/ (fma v v -1) (fma -5 (* v v) 1)))
78.0ms	(fma -5 (* v v) 1)
75.0ms	(/ (fma v v -1) (fma -5 (* v v) 1))
5.0ms	(acos (/ 1 (/ (fma v v -1) (fma -5 (* v v) 1))))

simplify1.3s

Counts: 143 → 143

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.1s	3019×	body	2560	valid
2.6s	2514×	body	1280	valid
897.0ms	7927×	body	80	nan
665.0ms	1250×	body	640	valid
222.0ms	617×	body	320	valid
94.0ms	397×	body	160	valid
28.0ms	203×	body	80	valid