Details

sample263.0ms

Algorithm

intervals

Results

102.0ms	96×	body	2560	valid
80.0ms	86×	body	1280	valid
31.0ms	284×	body	80	nan
19.0ms	32×	body	640	valid
8.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid
2.0ms	11×	body	80	valid

simplify940.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	467
3	171
2	65
1	25
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.6b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite34.0ms

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:

18.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
13.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
33.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	2001
3	2001
2	1125
1	378
0	148

prune309.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0b	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.2b	(* 5 (* v v))
0.7b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`difference-of-squares`
9×	`pow1`
6×	`associate-/r*` `add-log-exp`
4×	`difference-of-sqr-1` `insert-posit16`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--` `associate-/l*`
2×	`asin-acos` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

27.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
9.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
16.0ms	(* 5 (* v v))
2.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
51.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
32.0ms	(* 5 (* v v))
6.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	2041
3	2041
2	1354
1	466
0	181

prune468.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.0b	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.2b	(* 5 (* v v))
0.6b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
6.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
15.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
46.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	2006
4	2006
3	1409
2	400
1	183
0	83

prune258.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.0b	(exp (* 1 (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
0.2b	(* 5 (* v v))
0.6b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `log-prod` `add-cbrt-cube`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`exp-sum` `add-log-exp`
4×	`insert-posit16`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`acos-asin` `exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `log-pow` `*-commutative` `unswap-sqr` `rem-exp-log`

Counts

4 → 59

Calls

4 calls:

1.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
4.0ms	(exp (* 1 (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
5.0ms	(exp (* 1 (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))
40.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
4	2004
3	1515
2	462
1	207
0	97

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.4s	3011×	body	2560	valid
1.6s	2489×	body	1280	valid
922.0ms	8068×	body	80	nan
661.0ms	1220×	body	640	valid
647.0ms	664×	body	320	valid
99.0ms	418×	body	160	valid
25.0ms	198×	body	80	valid