Details

sample49.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
14.0ms	245×	body	80	nan

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	1906
10	1906
9	1870
8	1842
7	1645
6	1282
5	856
4	432
3	193
2	70
1	27
0	14

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
0.0b	(sqrt (fma 3.0 (* (- v) v) 1.0))
0.0b	(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
17×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
12×	`associate-l`
11×	`pow1` `times-frac` `sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `unswap-sqr`
3×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

3 → 80

Calls

3 calls:

25.0ms	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
2.0ms	(sqrt (fma 3.0 (* (- v) v) 1.0))
46.0ms	(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

series826.0ms

Counts

3 → 9

Calls

3 calls:

333.0ms	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
103.0ms	(sqrt (fma 3.0 (* (- v) v) 1.0))
390.0ms	(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2708
1	575
0	208

prune501.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* 3.0 (- v)) v 1.0)
0.0b	(* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))
0.0b	(* (sqrt 2.0) (exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0)))))
0.0b	(exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
17×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
12×	`associate-l`
11×	`pow1` `times-frac` `add-cbrt-cube`
10×	`add-exp-log`
9×	`sqrt-prod`
6×	`unswap-sqr`
5×	`exp-prod`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `log-prod` `exp-diff` `exp-sum` `log-pow` `*-commutative`
1×	`cbrt-undiv` `div-exp` `fma-udef` `div-inv` `rem-exp-log`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (* 3.0 (- v)) v 1.0)
14.0ms	(* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))
87.0ms	(* (sqrt 2.0) (exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0)))))
22.0ms	(exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma (* 3.0 (- v)) v 1.0)
360.0ms	(* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))
405.0ms	(* (sqrt 2.0) (exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0)))))
401.0ms	(exp (log (* (sqrt (fma (* 3.0 (- v)) v 1.0)) (/ (fma v (- v) 1.0) 4.0))))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2949
1	571
0	217

prune703.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fma 3.0 (* (- v) v) 1.0))
0.0b	(exp (log (/ (fma v (- v) 1.0) 4.0)))
0.0b	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (sqrt 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`log-prod` `exp-sum` `sqrt-prod`
9×	`pow1` `times-frac`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log`
4×	`exp-prod` `unswap-sqr`
3×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `log-div` `exp-diff` `sqrt-unprod` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `rem-exp-log`

Counts

3 → 75

Calls

3 calls:

1.0ms	(sqrt (fma 3.0 (* (- v) v) 1.0))
5.0ms	(exp (log (/ (fma v (- v) 1.0) 4.0)))
11.0ms	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (sqrt 2.0))

series439.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(sqrt (fma 3.0 (* (- v) v) 1.0))
130.0ms	(exp (log (/ (fma v (- v) 1.0) 4.0)))
208.0ms	(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (sqrt 2.0))

simplify732.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1332
1	397
0	198

prune579.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	26
3	26
2	25
1	21
0	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8055×	body	80	nan
750.0ms	8000×	body	80	valid