Details

sample162.0ms

Algorithm

intervals

Results

67.0ms	89×	body	2560	valid
40.0ms	84×	body	1280	valid
18.0ms	250×	body	80	nan
13.0ms	36×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	12×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	3394
5	1102
4	438
3	170
2	63
1	23
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 5 (* v v)))
0.0b	(- (* v v) 1)
0.2b	(* 5 (* v v))
0.7b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`
1×	`acos-asin` `difference-of-sqr-1` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

10.0ms	(- 1 (* 5 (* v v)))
19.0ms	(- (* v v) 1)
28.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- 1 (* 5 (* v v)))
55.0ms	(- (* v v) 1)
52.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify13.9s

Counts

70 → 70

Iterations

Iter	Nodes
4	4827
3	1566
2	550
1	256
0	99

prune610.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.0b	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.2b	(* 5 (* v v))
0.7b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

2.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
24.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
12.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
53.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify8.8s

Counts

70 → 70

Iterations

Iter	Nodes
4	8035
3	1863
2	462
1	182
0	83

prune627.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5 (* v v))
0.2b	(* 5 (* v v))
0.7b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.7b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

20.0ms	(* 5 (* v v))
14.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 5 (* v v))
30.0ms	(* 5 (* v v))
5.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify8.3s

Counts

70 → 70

Iterations

Iter	Nodes
4	7598
3	1980
2	407
1	138
0	55

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 5) v)
0.3b	(* (sqrt 5) v)
0.7b	(acos (/ (- 1 (* (* (sqrt 5) v) (* (sqrt 5) v))) (- (* v v) 1)))
0.7b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
6×	`associate-r`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
2×	`acos-asin` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 64

Calls

4 calls:

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

series142.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (sqrt 5) v)
62.0ms	(* (sqrt 5) v)
13.0ms	(acos (/ (- 1 (* (* (sqrt 5) v) (* (sqrt 5) v))) (- (* v v) 1)))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
4	4042
3	1081
2	343
1	142
0	76

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes272.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	24
1	24
0	21

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.3s	3030×	body	2560	valid
2.4s	2449×	body	1280	valid
855.0ms	7995×	body	80	nan
744.0ms	1260×	body	640	valid
240.0ms	615×	body	320	valid
131.0ms	428×	body	160	valid
28.0ms	218×	body	80	valid