Details

sample146.0ms

Algorithm

intervals

Results

55.0ms	99×	body	2560	valid
35.0ms	74×	body	1280	valid
12.0ms	41×	body	640	valid
11.0ms	208×	body	80	nan
5.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	9×	body	80	valid

simplify7.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5114
8	4456
7	1199
6	436
5	201
4	131
3	70
2	41
1	19
0	9

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
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 → 66

Calls

3 calls:

66.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
32.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
58.0ms	(* 5.0 (* v v))
24.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify8.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4998
2	1144
1	364
0	142

prune752.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize121.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.6b	(acos (cbrt (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

36.0ms	(* 5.0 (* v v))
42.0ms	(* 5.0 (* v v))
21.0ms	(* 5.0 (* v v))
1.0ms	(acos (cbrt (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 5.0 (* v v))
36.0ms	(* 5.0 (* v v))
53.0ms	(* 5.0 (* v v))
18.0ms	(acos (cbrt (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify4.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	1449
2	378
1	133
0	58

prune866.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize102.0ms

Local error

Found 4 expressions with local error:

0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.9b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.9b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite33.0ms

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:

2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
2.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
22.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
77.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
90.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
16.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify11.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
5	4802
4	1339
3	525
2	263
1	151
0	74

prune822.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize126.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
1.0b	(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
20×	`add-sqr-sqrt`
14×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-down` `pow-prod-up`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`cbrt-prod` `pow2` `pow3` `pow-sqr` `*-commutative`
1×	`rem-sqrt-square` `pow1/3` `sqrt-unprod` `rem-cbrt-cube`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
56.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
24.0ms	(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
42.0ms	(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
27.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
191.0ms	(* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
19.0ms	(cbrt (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify7.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5041
4	3376
3	1205
2	564
1	234
0	100

prune818.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes608.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	2975×	body	2560	valid
1.2s	2516×	body	1280	valid
951.0ms	8095×	body	80	nan
446.0ms	1268×	body	640	valid
165.0ms	626×	body	320	valid
61.0ms	414×	body	160	valid
17.0ms	201×	body	80	valid