Details

sample53.0ms

Algorithm

intervals

Results

34.0ms

356×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	1479
7	1479
6	1464
5	1261
4	727
3	277
2	89
1	26
0	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

14.0ms	(* (* z 9.0) t)
10.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series195.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (* z 9.0) t)
83.0ms	(- (* x y) (* (* z 9.0) t))
90.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1237
1	331
0	119

prune303.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
5.7b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

21.0ms	(* 9.0 (* t z))
13.0ms	(- (* x y) (* 9.0 (* t z)))
31.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series182.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 9.0 (* t z))
60.0ms	(- (* x y) (* 9.0 (* t z)))
88.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify2.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	4943
2	1148
1	312
0	114

prune355.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 9.0 t) z)
0.3b	(- (* x y) (* (* 9.0 t) z))
5.7b	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

13.0ms	(* (* 9.0 t) z)
7.0ms	(- (* x y) (* (* 9.0 t) z))
18.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (* 9.0 t) z)
81.0ms	(- (* x y) (* (* 9.0 t) z))
96.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1308
1	333
0	118

prune332.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
4.9b	(/ (* x y) a)
4.9b	(/ (* t z) a)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`insert-posit16`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

19.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ (* x y) a)
12.0ms	(/ (* t z) a)

series187.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* x y) a)
26.0ms	(/ (* t z) a)

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1645
1	405
0	148

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes945.0ms

Accuracy

15.3% (5.9b remaining)

Error of 6.2b against oracle of 0.4b and baseline of 7.3b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s

11156×

body

valid