Details

sample124.0ms

Algorithm

intervals

Results

72.0ms

493×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
4	1125
3	543
2	196
1	66
0	28

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x i) 4.0)
0.2b	(* k (* 27.0 j))
5.0b	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
6.5b	(* (* x y) (* z 18.0))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

19.0ms	(* (* x i) 4.0)
17.0ms	(* k (* 27.0 j))
100.0ms	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
30.0ms	(* (* x y) (* z 18.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x i) 4.0)
21.0ms	(* k (* 27.0 j))
129.0ms	(* (- (* (* x y) (* z 18.0)) (* a 4.0)) t)
42.0ms	(* (* x y) (* z 18.0))

simplify849.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	2004
2	1557
1	443
0	171

prune822.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.2b	(* k (* 27.0 j))
4.1b	(* x (* z y))
7.8b	(* t (* x (* z y)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

94.0ms	(* 18.0 (* t (* x (* z y))))
12.0ms	(* k (* 27.0 j))
16.0ms	(* x (* z y))
42.0ms	(* t (* x (* z y)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 18.0 (* t (* x (* z y))))
20.0ms	(* k (* 27.0 j))
30.0ms	(* x (* z y))
47.0ms	(* t (* x (* z y)))

simplify605.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	1170
1	305
0	125

prune680.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x i) 4.0)
0.2b	(* 18.0 (* (* t x) (* z y)))
0.2b	(* k (* 27.0 j))
10.8b	(* (* t x) (* z y))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1` `add-cbrt-cube` `add-exp-log`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

19.0ms	(* (* x i) 4.0)
63.0ms	(* 18.0 (* (* t x) (* z y)))
17.0ms	(* k (* 27.0 j))
33.0ms	(* (* t x) (* z y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x i) 4.0)
51.0ms	(* 18.0 (* (* t x) (* z y)))
22.0ms	(* k (* 27.0 j))
47.0ms	(* (* t x) (* z y))

simplify693.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2000
2	1655
1	403
0	153

prune720.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* (* t x) z) y))
0.2b	(* k (* 27.0 j))
5.0b	(* (* (* t x) z) y)
7.0b	(* (* t x) z)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

139.0ms	(* 18.0 (* (* (* t x) z) y))
18.0ms	(* k (* 27.0 j))
57.0ms	(* (* (* t x) z) y)
18.0ms	(* (* t x) z)

series194.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 18.0 (* (* (* t x) z) y))
28.0ms	(* k (* 27.0 j))
67.0ms	(* (* (* t x) z) y)
32.0ms	(* (* t x) z)

simplify731.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2003
2	1355
1	343
0	134

prune670.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes2.1s

Accuracy

47.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 4.2b

bsearch516.0ms

Steps

Iters	Range		Point
7	8.369723507065598e+54	4.344889703825325e+56	1.0458702014704218e+56
9	-3.8959214510285863e-16	-4.383653497844577e-24	-3.1240441509892456e-20

simplify20.0ms

Iterations

Iter	Nodes
done	82
1	82
0	55

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.4s

16033×

body

valid