Details

sample165.0ms

Algorithm

intervals

Results

70.0ms	96×	body	2560	valid
36.0ms	79×	body	1280	valid
14.0ms	245×	body	80	nan
13.0ms	41×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	6×	body	80	valid

simplify561.0ms

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: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0))
0.0b	(- 1.0 (* v (* v 5.0)))
0.1b	(* v (* v 5.0))
0.5b	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

26.0ms	(/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0))
8.0ms	(- 1.0 (* v (* v 5.0)))
22.0ms	(* v (* v 5.0))
2.0ms	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0))
113.0ms	(- 1.0 (* v (* v 5.0)))
43.0ms	(* v (* v 5.0))
6.0ms	(acos (/ (- 1.0 (* v (* v 5.0))) (- (* v v) 1.0)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1866
1	376
0	146

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0))))
0.0b	(exp (log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))))
0.1b	(* (* 5.0 v) v)
0.5b	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`log-prod`
4×	`exp-prod` `add-log-exp`
3×	`associate-r` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-l` `*-commutative` `rem-exp-log`

Counts

4 → 53

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0))))
2.0ms	(exp (log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))))
13.0ms	(* (* 5.0 v) v)
1.0ms	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0))))
5.0ms	(exp (log (acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))))
35.0ms	(* (* 5.0 v) v)
5.0ms	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))

simplify729.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	853
1	170
0	80

prune383.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 5.0 v) v)
0.2b	(* (* v v) 5.0)
0.5b	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))
0.5b	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

38.0ms	(* (* 5.0 v) v)
31.0ms	(* (* v v) 5.0)
2.0ms	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))
2.0ms	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* 5.0 v) v)
34.0ms	(* (* v v) 5.0)
9.0ms	(acos (/ (- 1.0 (* (* 5.0 v) v)) (- (pow v 2) 1.0)))
9.0ms	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1421
1	223
0	91

prune477.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* v v) 5.0)
0.5b	(acos (/ (- 1.0 (log (pow (exp (* v 5.0)) v))) (- (pow v 2) 1.0)))
0.5b	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))
2.5b	(log (pow (exp (* v 5.0)) v))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

26.0ms	(* (* v v) 5.0)
2.0ms	(acos (/ (- 1.0 (log (pow (exp (* v 5.0)) v))) (- (pow v 2) 1.0)))
2.0ms	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))
5.0ms	(log (pow (exp (* v 5.0)) v))

series1.6s

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* v v) 5.0)
9.0ms	(acos (/ (- 1.0 (log (pow (exp (* v 5.0)) v))) (- (pow v 2) 1.0)))
8.0ms	(acos (/ (- 1.0 (* (* v v) 5.0)) (- (* v v) 1.0)))
1.5s	(log (pow (exp (* v 5.0)) v))

simplify763.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1033
1	234
0	106

prune580.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	30

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.5s	2862×	body	2560	valid
1.6s	2554×	body	1280	valid
667.0ms	8055×	body	80	nan
515.0ms	1283×	body	640	valid
150.0ms	666×	body	320	valid
62.0ms	423×	body	160	valid
18.0ms	212×	body	80	valid