Details

sample74.0ms

Algorithm

intervals

Results

28.0ms

356×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	1597
8	1597
7	1569
6	1531
5	1250
4	720
3	283
2	88
1	27
0	13

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize68.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite106.0ms

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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `-commutative` `div-inv`

Counts

3 → 65

Calls

3 calls:

11.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
60.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series319.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (* x y) (* (* z 9.0) t))
53.0ms	(* (* z 9.0) t)
153.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify3.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1260
1	355
0	130

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize45.0ms

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))
4.4b	(/ (* t z) a)
5.2b	(/ (* x y) a)

rewrite123.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

50.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms	(* 4.5 (/ (* t z) a))
13.0ms	(/ (* t z) a)
18.0ms	(/ (* x y) a)

series456.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
71.0ms	(* 4.5 (/ (* t z) a))
44.0ms	(/ (* t z) a)
42.0ms	(/ (* x y) a)

simplify3.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1751
1	433
0	161

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize68.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.3b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `associate-l/` `associate-r/` `flip--`

Counts

3 → 97

Calls

3 calls:

17.0ms	(- (* x y) (* (* z 9.0) t))
46.0ms	(* (* z 9.0) t)
62.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series462.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x y) (* (* z 9.0) t))
49.0ms	(* (* z 9.0) t)
320.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify4.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1708
1	536
0	193

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
6.5b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite127.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `-commutative` `div-inv`

Counts

3 → 65

Calls

3 calls:

24.0ms	(- (* x y) (* z (* 9.0 t)))
48.0ms	(* z (* 9.0 t))
48.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series329.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* x y) (* z (* 9.0 t)))
26.0ms	(* z (* 9.0 t))
201.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify3.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1345
1	344
0	128

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes4.7s

Accuracy

43.8% (4.3b remaining)

Error of 4.7b against oracle of 0.5b and baseline of 8.0b

bsearch2.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	55
3	55
2	52
1	49
0	37

end0.0ms

sample1.8s

Algorithm

intervals

Results

834.0ms

11150×

body

valid