Details

sample62.0ms

Algorithm

intervals

Results

27.0ms

346×

body

valid

simplify9.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1463
7	1463
6	1428
5	1192
4	679
3	270
2	86
1	26
0	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

38.0ms	(* (* z 9.0) t)
13.0ms	(- (* x y) (* (* z 9.0) t))
175.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series266.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (* z 9.0) t)
94.0ms	(- (* x y) (* (* z 9.0) t))
127.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify8.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5009
3	4775
2	1146
1	328
0	116

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.7b

localize39.0ms

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))
3.9b	(/ (* x y) a)
6.2b	(/ (* t z) a)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

32.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
30.0ms	(/ (* t z) a)

series366.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
56.0ms	(* 4.5 (/ (* t z) a))
37.0ms	(/ (* x y) a)
56.0ms	(/ (* t z) a)

simplify3.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1610
1	403
0	144

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b	(* 4.5 (/ t (/ a z)))
3.9b	(/ (* x y) a)
5.0b	(/ t (/ a z))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
93×	`add-sqr-sqrt`
84×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-r/` `associate-l*` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 170

Calls

4 calls:

22.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
57.0ms	(* 4.5 (/ t (/ a z)))
28.0ms	(/ (* x y) a)
18.0ms	(/ t (/ a z))

series757.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
124.0ms	(* 4.5 (/ t (/ a z)))
94.0ms	(/ (* x y) a)
246.0ms	(/ t (/ a z))

simplify5.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5002
2	3087
1	794
0	288

prune5.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
0.2b	(* 4.5 (/ t (/ a z)))
4.8b	(* x (/ y a))
5.0b	(/ t (/ a z))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

98.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
181.0ms	(* 4.5 (/ t (/ a z)))
29.0ms	(* x (/ y a))
20.0ms	(/ t (/ a z))

series496.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ t (/ a z))))
50.0ms	(* 4.5 (/ t (/ a z)))
36.0ms	(* x (/ y a))
42.0ms	(/ t (/ a z))

simplify7.3s

Counts

193 → 193

Iterations

Iter	Nodes
done	5003
2	3215
1	853
0	310

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes3.7s

Accuracy

89.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.1b

bsearch9.0ms

simplify53.0ms

Iterations

Iter	Nodes
done	49
1	49
0	38

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.2s

11195×

body

valid