Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

366×

body

valid

simplify1.0s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.4b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite75.0ms

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:

28.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
36.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series219.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (* z 9.0) t)
85.0ms	(- (* x y) (* (* z 9.0) t))
102.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify730.0ms

Counts: 63 → 63

prune249.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
6.4b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite87.0ms

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

Counts

3 → 54

Calls

3 calls:

32.0ms	(* 9.0 (* t z))
13.0ms	(- (* x y) (* 9.0 (* t z)))
39.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* 9.0 (* t z))
61.0ms	(- (* x y) (* 9.0 (* t z)))
87.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify632.0ms

Counts: 63 → 63

prune189.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 9.0) (* t z))
0.3b	(- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z))))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))
6.4b	(/ (- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))) (* a 2.0))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

27.0ms	(* (cbrt 9.0) (* t z))
15.0ms	(- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z))))
82.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))
31.0ms	(/ (- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))) (* a 2.0))

series459.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt 9.0) (* t z))
126.0ms	(- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z))))
92.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))
188.0ms	(/ (- (* x y) (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t z)))) (* a 2.0))

simplify941.0ms

Counts: 97 → 97

prune312.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))))
0.3b	(/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))
0.4b	(/ 2.0 (* t z))
6.5b	(* (/ 1 a) (+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z))))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

197×	`times-frac`
101×	`*-un-lft-identity`
99×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
48×	`cbrt-prod` `unpow-prod-down` `cube-prod`
42×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`div-inv`
21×	`associate-/l*`
19×	`div-exp`
13×	`associate-l`
8×	`cbrt-undiv` `cube-mult` `unpow3` `prod-exp` `associate-/r*` `add-log-exp` `sqr-pow`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-unprod` `distribute-lft-out`
3×	`frac-times` `pow-to-exp` `flip3-+` `associate-*r/` `frac-add` `pow-exp` `flip-+` `distribute-neg-frac` `unswap-sqr`
2×	`distribute-rgt-neg-in` `frac-2neg` `clear-num` `sum-log`
1×	`+-commutative` `neg-sub0` `distribute-rgt-in` `associate-+r-` `rec-exp` `distribute-lft-in` `1-exp` `unsub-neg` `pow-prod-down` `neg-log` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 258

Calls

4 calls:

260.0ms	(+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))))
34.0ms	(/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))
8.0ms	(/ 2.0 (* t z))
967.0ms	(* (/ 1 a) (+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z))))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))))
23.0ms	(/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z)))
22.0ms	(/ 2.0 (* t z))
156.0ms	(* (/ 1 a) (+ (/ (* x y) 2.0) (- (/ (pow (cbrt 9.0) 3) (/ 2.0 (* t z))))))

simplify507.0ms

Counts: 270 → 270

prune743.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.4b

regimes787.0ms

Accuracy

0% (0.4b remaining)

Error of 7.4b against oracle of 7.0b and baseline of 7.4b

bsearch0.0ms

simplify720.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

702.0ms

11211×

body

valid