Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

371×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite39.0ms

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` `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 → 54

Calls

3 calls:

16.0ms	(* (* z 9.0) t)
6.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (* z 9.0) t)
90.0ms	(- (* x y) (* (* z 9.0) t))
73.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify2.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4719
2	1148
1	328
0	116

prune494.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

22.0ms	(* (* z 9.0) t)
12.0ms	(- (* x y) (* (* z 9.0) t))
63.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (* z 9.0) t)
65.0ms	(- (* x y) (* (* z 9.0) t))
82.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
2	1418
1	387
0	144

prune379.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.8b

localize44.0ms

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))
5.7b	(/ (* x y) a)
7.1b	(/ (* t z) a)

rewrite84.0ms

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/`
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 → 83

Calls

4 calls:

23.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
14.0ms	(/ (* x y) a)
14.0ms	(/ (* t z) a)

series319.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
51.0ms	(* 4.5 (/ (* t z) a))
34.0ms	(/ (* x y) a)
37.0ms	(/ (* t z) a)

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1621
1	403
0	144

prune727.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.5b	(/ x (/ a y))
7.1b	(/ (* t z) a)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

12.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
26.0ms	(* 4.5 (/ (* t z) a))
14.0ms	(/ x (/ a y))
15.0ms	(/ (* t z) a)

series242.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
56.0ms	(* 4.5 (/ (* t z) a))
34.0ms	(/ x (/ a y))
22.0ms	(/ (* t z) a)

simplify1.7s

Counts

143 → 143

Iterations

Iter	Nodes
done	5003
2	2269
1	654
0	250

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

89.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 8.2b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	45
1	45
0	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

815.0ms

11133×

body

valid