Details

sample227.0ms

Algorithm

intervals

Results

81.0ms	93×	body	2560	valid
53.0ms	79×	body	1280	valid
26.0ms	295×	body	80	nan
24.0ms	20×	body	160	valid
17.0ms	33×	body	640	valid
8.0ms	24×	body	320	valid
1.0ms	7×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	3394
5	1102
4	438
3	170
2	63
1	23
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.9b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite44.0ms

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:

28.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
14.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
35.0ms	(* 5 (* v v))
4.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify6.1s

Counts

83 → 83

Iterations

Iter	Nodes
3	5865
2	1237
1	371
0	148

prune694.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.9b	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite41.0ms

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:

24.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
14.0ms	(* 5 (* v v))
2.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series131.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
35.0ms	(* 5 (* v v))
4.0ms	(acos (log (exp (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify4.8s

Counts

83 → 83

Iterations

Iter	Nodes
3	5220
2	1123
1	361
0	149

prune859.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize40.0ms

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))
0.9b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite19.0ms

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))))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
3.0ms	(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
52.0ms	(* 5 (* v v))
4.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify9.1s

Counts

70 → 70

Iterations

Iter	Nodes
4	8035
3	1863
2	462
1	182
0	83

prune735.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5 (* v v))
0.2b	(* 5 (* v v))
0.9b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.9b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

14.0ms	(* 5 (* v v))
18.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 5 (* v v))
29.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify8.5s

Counts

70 → 70

Iterations

Iter	Nodes
4	7598
3	1980
2	407
1	138
0	55

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

regimes246.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	22
1	22
0	20

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.8s	2962×	body	2560	valid
2.5s	2538×	body	1280	valid
958.0ms	7944×	body	80	nan
631.0ms	1250×	body	640	valid
280.0ms	648×	body	320	valid
100.0ms	417×	body	160	valid
24.0ms	185×	body	80	valid