Details

sample82.0ms

Algorithm

intervals

Results

30.0ms	90×	body	2560	valid
21.0ms	93×	body	1280	valid
10.0ms	259×	body	80	nan
6.0ms	37×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	5×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	14
1	19	14
2	41	14
3	81	14
4	150	14
5	235	14
6	312	14
7	461	14
8	1194	14
done	5000	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(- 1.0 (* 5.0 (* v v)))
0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp`
4×	`associate-/r*` `difference-of-squares`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

14.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
2.0ms	(- 1.0 (* 5.0 (* v v)))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
61.0ms	(- 1.0 (* 5.0 (* v v)))
25.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.9s

Counts

87 → 87

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	1376
1	351	1319
2	1072	1207
3	4258	1205
done	5000	1203

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
0.1b	(* (* 5.0 5.0) (pow v 4))
0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`prod-exp`
10×	`add-sqr-sqrt`
9×	`pow1`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `associate-l` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow-to-exp` `pow-exp` `*-commutative` `sqr-pow`
1×	`acos-asin` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 66

Calls

4 calls:

3.0ms	(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
10.0ms	(* (* 5.0 5.0) (pow v 4))
6.0ms	(* 5.0 (* v v))
0.0ms	(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4)))
37.0ms	(* (* 5.0 5.0) (pow v 4))
28.0ms	(* 5.0 (* v v))
7.0ms	(acos (/ (/ (- (* 1.0 1.0) (* (* 5.0 5.0) (pow v 4))) (+ 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	128	1083
1	314	1012
2	1174	888
done	5000	888

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
0.0b	(- 1.0 (* 5.0 (* v v)))
0.2b	(* 5.0 (* v v))
0.5b	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`associate-/r/`
3×	`pow-unpow` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`pow-exp` `div-inv` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-div` `acos-asin` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `diff-log` `unpow3` `div-exp` `associate-r` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

13.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
2.0ms	(- 1.0 (* 5.0 (* v v)))
6.0ms	(* 5.0 (* v v))
0.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
60.0ms	(- 1.0 (* 5.0 (* v v)))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

simplify656.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	189	2165
1	572	1994
2	1915	1790
done	5000	1790

prune209.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

0.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
128.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
134.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
161.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	61	2476
1	117	2281
2	317	1827
3	1149	1757
4	3817	1737
done	5001	1737

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	19	26
done	19	26

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2939×	body	2560	valid
564.0ms	2505×	body	1280	valid
227.0ms	8095×	body	80	nan
208.0ms	1225×	body	640	valid
81.0ms	665×	body	320	valid
38.0ms	460×	body	160	valid
10.0ms	206×	body	80	valid