Details

sample180.0ms

Algorithm

intervals

Results

62.0ms	88×	body	2560	valid
38.0ms	78×	body	1280	valid
30.0ms	226×	body	80	nan
17.0ms	42×	body	640	valid
6.0ms	25×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	4×	body	80	valid

simplify511.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	906
5	235
4	146
3	77
2	42
1	19
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(* v (* v 5.0))
0.6b	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`add-log-exp`
1×	`acos-asin` `associate-r` `*-commutative`

Counts

2 → 26

Calls

2 calls:

12.0ms	(* v (* v 5.0))
1.0ms	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* v (* v 5.0))
5.0ms	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

simplify614.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	527
1	118
0	52

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

25.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
4.0ms	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

series129.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
65.0ms	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1532
1	256
0	93

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 4 expressions with local error:

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)))))
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))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

9.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series864.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
213.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
213.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
169.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify1.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	644
1	137
0	61

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize78.0ms

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))) (- (pow v 2) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 2) 1.0))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 2) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 2) 1.0))))

series810.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
184.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
190.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 2) 1.0))))
215.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 2) 1.0))))

simplify934.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
4	1810
3	489
2	173
1	74
0	44

prune540.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	28

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.2s	2990×	body	2560	valid
1.5s	2522×	body	1280	valid
952.0ms	7982×	body	80	nan
464.0ms	1253×	body	640	valid
130.0ms	622×	body	320	valid
62.0ms	431×	body	160	valid
14.0ms	182×	body	80	valid