Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

364×

body

valid

simplify1.0s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite62.0ms

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:

9.0ms	(- (* x y) (* (* z 9.0) t))
26.0ms	(* (* z 9.0) t)
25.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
98.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify723.0ms

Counts: 63 → 63

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.8b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite92.0ms

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:

15.0ms	(- (* x y) (* z (* 9.0 t)))
29.0ms	(* z (* 9.0 t))
46.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* x y) (* z (* 9.0 t)))
19.0ms	(* z (* 9.0 t))
92.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify686.0ms

Counts: 63 → 63

prune208.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.9b

localize29.0ms

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))
5.9b	(/ (* x y) a)
6.6b	(/ (* t z) a)

rewrite94.0ms

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:

27.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms	(* 4.5 (/ (* t z) a))
16.0ms	(/ (* x y) a)
17.0ms	(/ (* t z) a)

series283.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
42.0ms	(* 4.5 (/ (* t z) a))
31.0ms	(/ (* x y) a)
32.0ms	(/ (* t z) a)

simplify731.0ms

Counts: 95 → 95

prune241.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
3.0b	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
6.6b	(/ (* t z) a)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
52.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
10.0ms	(/ (* t z) a)

series524.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt a)
215.0ms	(cbrt a)
58.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
23.0ms	(/ (* t z) a)

simplify971.0ms

Counts: 114 → 114

prune496.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

48.2% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 7.6b

bsearch1.0ms

simplify1.7s

end0.0ms

sample1.7s

Algorithm

intervals

Results

830.0ms

11190×

body

valid