Details

sample230.0ms

Algorithm

intervals

Results

92.0ms	96×	body	2560	valid
66.0ms	86×	body	1280	valid
29.0ms	284×	body	80	nan
17.0ms	32×	body	640	valid
7.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid
2.0ms	11×	body	80	valid

simplify982.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

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)))

rewrite56.0ms

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))
14.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
33.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.2s

Counts

83 → 83

Iterations

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

prune617.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize20.0ms

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)))

rewrite60.0ms

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:

23.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
11.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
22.0ms	(* 5 (* v v))
1.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
41.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
47.0ms	(* 5 (* v v))
6.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.3s

Counts

103 → 103

Iterations

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

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize35.0ms

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)))

rewrite27.0ms

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))))
5.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
19.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
32.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.4s

Counts

70 → 70

Iterations

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

prune626.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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-r` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-l` `*-commutative` `unswap-sqr` `rem-exp-log`

Counts

4 → 58

Calls

4 calls:

2.0ms	(log (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))))
18.0ms	(* (* v v) 5)
1.0ms	(acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(log (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))))
37.0ms	(* (* v v) 5)
5.0ms	(acos (/ (- 1 (* (* v v) 5)) (- (* v v) 1)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	2001
4	2001
3	1296
2	441
1	175
0	85

prune632.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes144.0ms

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	14
1	14
0	11

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.0s	3011×	body	2560	valid
2.1s	2489×	body	1280	valid
856.0ms	8068×	body	80	nan
671.0ms	664×	body	320	valid
631.0ms	1220×	body	640	valid
97.0ms	418×	body	160	valid
25.0ms	198×	body	80	valid