Details

sample281.0ms

Algorithm

intervals

Results

133.0ms	94×	body	2560	valid
58.0ms	68×	body	1280	valid
29.0ms	48×	body	640	valid
28.0ms	231×	body	80	nan
12.0ms	26×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	10×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
5	2012
4	467
3	171
2	65
1	25
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.8b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

21.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
39.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1125
1	378
0	148

prune299.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* v v) 4)
0.0b	(* (* v v) 4)
0.2b	(* (* v v) (* (* v v) 4))
0.8b	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

20.0ms	(* (* v v) 4)
21.0ms	(* (* v v) 4)
66.0ms	(* (* v v) (* (* v v) 4))
265.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

series136.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* v v) 4)
50.0ms	(* (* v v) 4)
41.0ms	(* (* v v) (* (* v v) 4))
4.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

simplify3.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	2966
2	773
1	204
0	79

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* v v) 4)
0.0b	(* (* v v) 4)
0.2b	(* (* v v) (* (* v v) 4))
0.8b	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

27.0ms	(* (* v v) 4)
30.0ms	(* (* v v) 4)
80.0ms	(* (* v v) (* (* v v) 4))
239.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

series111.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* v v) 4)
27.0ms	(* (* v v) 4)
46.0ms	(* (* v v) (* (* v v) 4))
5.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))

simplify3.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	2966
2	773
1	204
0	79

prune424.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.8b	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))
0.9b	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
0.9b	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
0.9b	(* (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))) (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

277.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))
1.0ms	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
1.0ms	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
8.0ms	(* (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))) (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))
17.0ms	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
18.0ms	(sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1)))
4.0ms	(* (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))) (sqrt (acos (- (+ (* (* v v) (* (* v v) 4)) (* (* v v) 4)) 1))))

simplify2.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
4	1628
3	780
2	328
1	157
0	74

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.8b against oracle of 0.8b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.0s	3001×	body	2560	valid
2.1s	2450×	body	1280	valid
886.0ms	7626×	body	80	nan
656.0ms	1236×	body	640	valid
311.0ms	658×	body	320	valid
104.0ms	439×	body	160	valid
27.0ms	216×	body	80	valid