Details

sample57.0ms

Algorithm

intervals

Results

20.0ms

356×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	1440
7	1440
6	1408
5	1172
4	671
3	269
2	86
1	26
0	13

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize50.0ms

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))

rewrite80.0ms

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:

10.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
42.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series271.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(- (* x y) (* (* z 9.0) t))
31.0ms	(* (* z 9.0) t)
134.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify7.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5009
3	4796
2	1150
1	332
0	119

prune982.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize46.0ms

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)

rewrite83.0ms

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:

23.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
12.0ms	(/ (* t z) a)
12.0ms	(/ (* x y) a)

series310.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
45.0ms	(* 4.5 (/ (* t z) a))
39.0ms	(/ (* t z) a)
40.0ms	(/ (* x y) a)

simplify2.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1662
1	406
0	148

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite126.0ms

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×	`insert-posit16`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-l/` `associate-r/` `flip--`

Counts

3 → 89

Calls

3 calls:

12.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
75.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series387.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
231.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify3.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1731
1	519
0	182

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

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))

rewrite90.0ms

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:

12.0ms	(- (* x y) (* z (* 9.0 t)))
37.0ms	(* z (* 9.0 t))
38.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series285.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* x y) (* z (* 9.0 t)))
30.0ms	(* z (* 9.0 t))
136.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify6.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	4507
2	1128
1	320
0	117

prune858.0ms

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

bsearch3.0ms

simplify50.0ms

Iterations

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

11150×

body

valid