Details

sample198.0ms

Algorithm

intervals

Results

75.0ms	95×	body	2560	valid
49.0ms	86×	body	1280	valid
31.0ms	279×	body	80	nan
16.0ms	36×	body	640	valid
8.0ms	25×	body	320	valid
3.0ms	12×	body	160	valid
0.0ms	2×	body	80	valid

simplify789.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	467
3	171
2	65
1	25
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 5 (* v v))
0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16` `add-log-exp`
1×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

26.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	2032
4	2032
3	1518
2	353
1	140
0	55

prune232.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
2.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
15.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
173.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
147.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
199.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	2013
4	2013
3	1158
2	362
1	142
0	62

prune920.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 84

Calls

4 calls:

4.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
15.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
187.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
183.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
228.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
4	2001
3	1387
2	585
1	225
0	86

prune898.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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×	`insert-posit16` `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 → 122

Calls

4 calls:

2.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
2.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
4.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
73.0ms	(* (* (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
15.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
177.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
250.0ms	(* (* (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (* (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (cbrt (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))))

simplify1.1s

Counts

134 → 134

Iterations

Iter	Nodes
done	2003
4	2003
3	1367
2	612
1	297
0	105

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes97.0ms

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
done	12
1	12
0	9

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.3s	2909×	body	2560	valid
1.8s	2527×	body	1280	valid
1.3s	8207×	body	80	nan
792.0ms	1293×	body	640	valid
318.0ms	637×	body	320	valid
112.0ms	437×	body	160	valid
26.0ms	197×	body	80	valid