Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

357×

body

valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
8.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite49.0ms

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:

17.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
61.0ms	(- (* x y) (* (* z 9.0) t))
76.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify655.0ms

Counts: 63 → 63

prune209.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1.0 2.0) (/ (* x y) a))
0.2b	(* (/ 9.0 2.0) (/ (* t z) a))
5.0b	(/ (* t z) a)
6.9b	(/ (* x y) a)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log` `add-cbrt-cube`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
18×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
14×	`associate-r`
8×	`pow1`
6×	`associate-/r*` `div-inv`
4×	`add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

4 → 134

Calls

4 calls:

45.0ms	(* (/ 1.0 2.0) (/ (* x y) a))
38.0ms	(* (/ 9.0 2.0) (/ (* t z) a))
16.0ms	(/ (* t z) a)
10.0ms	(/ (* x y) a)

series134.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (/ 1.0 2.0) (/ (* x y) a))
31.0ms	(* (/ 9.0 2.0) (/ (* t z) a))
34.0ms	(/ (* t z) a)
23.0ms	(/ (* x y) a)

simplify1.2s

Counts: 146 → 146

prune476.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1.0 2.0) (/ (* x y) a))
0.2b	(* (/ 9.0 2.0) (/ t (/ a z)))
4.8b	(/ t (/ a z))
6.9b	(/ (* x y) a)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

175×	`times-frac`
125×	`add-sqr-sqrt`
99×	`add-cube-cbrt` `*-un-lft-identity`
56×	`add-exp-log` `add-cbrt-cube`
51×	`associate-r`
26×	`associate-l`
21×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
15×	`prod-exp` `cbrt-unprod`
13×	`div-inv`
8×	`pow1` `unswap-sqr`
4×	`associate-/l*` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r/` `*-commutative`

Counts

4 → 224

Calls

4 calls:

26.0ms	(* (/ 1.0 2.0) (/ (* x y) a))
50.0ms	(* (/ 9.0 2.0) (/ t (/ a z)))
16.0ms	(/ t (/ a z))
19.0ms	(/ (* x y) a)

series117.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (/ 1.0 2.0) (/ (* x y) a))
33.0ms	(* (/ 9.0 2.0) (/ t (/ a z)))
29.0ms	(/ t (/ a z))
22.0ms	(/ (* x y) a)

simplify520.0ms

Counts: 236 → 236

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ (* 1.0 x) 2.0) (/ y a)) (* (/ 9.0 2.0) (/ t (/ a z))))
0.2b	(* (/ 9.0 2.0) (/ t (/ a z)))
4.8b	(/ t (/ a z))
5.4b	(* (/ (* 1.0 x) 2.0) (/ y a))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
123×	`add-sqr-sqrt`
97×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
51×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
19×	`cbrt-undiv` `div-exp`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-/r*`
12×	`div-inv`
10×	`associate-*l/`
9×	`frac-sub`
8×	`pow1` `frac-times` `associate-*r/` `unswap-sqr`
6×	`add-log-exp`
3×	`associate-/l*`
2×	`pow-prod-down` `associate-/r/` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `sub-div`

Counts

4 → 225

Calls

4 calls:

27.0ms	(- (* (/ (* 1.0 x) 2.0) (/ y a)) (* (/ 9.0 2.0) (/ t (/ a z))))
63.0ms	(* (/ 9.0 2.0) (/ t (/ a z)))
15.0ms	(/ t (/ a z))
28.0ms	(* (/ (* 1.0 x) 2.0) (/ y a))

series243.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (* (/ (* 1.0 x) 2.0) (/ y a)) (* (/ 9.0 2.0) (/ t (/ a z))))
45.0ms	(* (/ 9.0 2.0) (/ t (/ a z)))
26.0ms	(/ t (/ a z))
31.0ms	(* (/ (* 1.0 x) 2.0) (/ y a))

simplify646.0ms

Counts: 237 → 237

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes571.0ms

Accuracy

0% (8.0b remaining)

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

bsearch2.0ms

simplify854.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

750.0ms

11236×

body

valid