Details

sample242.0ms

Algorithm

intervals

Results

109.0ms	95×	body	2560	valid
60.0ms	86×	body	1280	valid
27.0ms	279×	body	80	nan
19.0ms	36×	body	640	valid
9.0ms	25×	body	320	valid
3.0ms	12×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	3462
5	1131
4	454
3	177
2	65
1	24
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 1 expressions with local error:

0.4b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `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`

Counts

1 → 11

Calls

1 calls:

2.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify3.5s

Counts

14 → 14

Iterations

Iter	Nodes
9	2970
8	1068
7	497
6	236
5	129
4	74
3	51
2	38
1	29
0	23

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
8.0ms	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
123.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
125.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
202.0ms	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
4	3172
3	719
2	253
1	116
0	60

prune401.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
1.0b	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

10.0ms	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
1.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
16.0ms	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
206.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
170.0ms	(cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
192.0ms	(* (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify3.7s

Counts

104 → 104

Iterations

Iter	Nodes
4	5180
3	1591
2	595
1	191
0	85

prune386.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize92.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
1.0b	(* (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
49×	`pow-prod-up`
44×	`pow1/3`
33×	`pow-sqr`
32×	`pow-prod-down`
18×	`pow-plus`
17×	`add-exp-log`
13×	`pow2`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cbrt-cube` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `swap-sqr` `associate-r` `associate-l` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

1.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
2.0ms	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
44.0ms	(* (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
26.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
182.0ms	(pow (acos (/ (fma (* -5 v) v 1) (fma v v -1))) 1/3)
195.0ms	(* (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (* (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (cbrt (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

simplify3.7s

Counts

142 → 142

Iterations

Iter	Nodes
4	4836
3	1136
2	448
1	221
0	103

prune573.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.0s	2909×	body	2560	valid
1.8s	2527×	body	1280	valid
1.1s	1293×	body	640	valid
945.0ms	8207×	body	80	nan
723.0ms	637×	body	320	valid
165.0ms	437×	body	160	valid
27.0ms	197×	body	80	valid