Details

sample284.0ms

Algorithm

intervals

Results

127.0ms	114×	body	2560	valid
59.0ms	72×	body	1280	valid
32.0ms	263×	body	80	nan
30.0ms	33×	body	640	valid
8.0ms	19×	body	320	valid
4.0ms	12×	body	160	valid
1.0ms	6×	body	80	valid

simplify2.5s

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: 0.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite75.0ms

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:

39.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
32.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
69.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify6.0s

Counts

83 → 83

Iterations

Iter	Nodes
3	5865
2	1237
1	371
0	148

prune615.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* v v) 4)
0.0b	(* (* v v) 4)
0.1b	(* (* v v) (* (* v v) 4))
0.4b	(acos (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

rewrite198.0ms

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)
32.0ms	(* (* v v) 4)
96.0ms	(* (* v v) (* (* v v) 4))
42.0ms	(acos (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* v v) 4)
38.0ms	(* (* v v) 4)
56.0ms	(* (* v v) (* (* v v) 4))
4.0ms	(acos (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
3	2257
2	643
1	198
0	79

prune569.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* v v) 4)
0.0b	(* (* v v) 4)
0.1b	(* (* v v) (* (* v v) 4))
0.4b	(asin (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

rewrite125.0ms

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×	`asin-acos`

Counts

4 → 78

Calls

4 calls:

17.0ms	(* (* v v) 4)
16.0ms	(* (* v v) 4)
65.0ms	(* (* v v) (* (* v v) 4))
26.0ms	(asin (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* v v) 4)
34.0ms	(* (* v v) 4)
83.0ms	(* (* v v) (* (* v v) 4))
4.0ms	(asin (+ (- (* (* v v) 4) 1) (* (* v v) (* (* v v) 4))))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
3	2257
2	643
1	198
0	79

prune564.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite22.0ms

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:

1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
11.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
19.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
22.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
4.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify4.3s

Counts

99 → 99

Iterations

Iter	Nodes
5	5607
4	1544
3	621
2	307
1	147
0	73

prune605.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes166.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.0s	2987×	body	2560	valid
1.9s	2547×	body	1280	valid
1.8s	1212×	body	640	valid
814.0ms	7867×	body	80	nan
255.0ms	617×	body	320	valid
105.0ms	423×	body	160	valid
29.0ms	214×	body	80	valid