Details

sample63.0ms

Algorithm

intervals

Results

25.0ms

353×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize142.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
9.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite113.0ms

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` `insert-posit16` `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 → 57

Calls

3 calls:

18.0ms	(- (* x y) (* (* z 9.0) t))
38.0ms	(* (* z 9.0) t)
54.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series234.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (* x y) (* (* z 9.0) t))
34.0ms	(* (* z 9.0) t)
101.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify8.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5009
3	4796
2	1150
1	332
0	119

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.7b

localize78.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
9.5b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite147.0ms

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-l` `pow-prod-down` `insert-posit16` `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-r` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

39.0ms	(- (* x y) (* 9.0 (* t z)))
38.0ms	(* 9.0 (* t z))
64.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series319.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(- (* x y) (* 9.0 (* t z)))
51.0ms	(* 9.0 (* t z))
131.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify7.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5042
3	4304
2	1065
1	313
0	114

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 9.7b

localize163.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
9.5b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`insert-posit16`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-l/` `associate-r/` `flip--`

Counts

3 → 89

Calls

3 calls:

36.0ms	(- (* x y) (* (* z 9.0) t))
71.0ms	(* (* z 9.0) t)
134.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series371.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (* x y) (* (* z 9.0) t))
40.0ms	(* (* z 9.0) t)
231.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify4.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1731
1	519
0	182

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.6b

localize169.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 9.0) t)
0.4b	(/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0))
0.4b	(/ (/ 1 a) (sqrt 2.0))
9.6b	(* (/ (/ 1 a) (sqrt 2.0)) (/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0)))

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

353×	`times-frac`
259×	`add-sqr-sqrt`
185×	`*-un-lft-identity`
179×	`add-cube-cbrt`
118×	`sqrt-prod`
83×	`associate-l`
55×	`add-exp-log`
37×	`add-cbrt-cube`
25×	`associate-r`
24×	`div-exp`
21×	`unswap-sqr`
17×	`div-inv`
16×	`associate-/l*`
13×	`cbrt-undiv` `prod-exp`
12×	`associate-/r*`
11×	`pow1`
9×	`cbrt-unprod`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-/l/`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `flip3--` `div-sub` `associate-l/` `associate-r/` `flip--`

Counts

4 → 331

Calls

4 calls:

72.0ms	(* (* z 9.0) t)
59.0ms	(/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0))
46.0ms	(/ (/ 1 a) (sqrt 2.0))
233.0ms	(* (/ (/ 1 a) (sqrt 2.0)) (/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* z 9.0) t)
330.0ms	(/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0))
73.0ms	(/ (/ 1 a) (sqrt 2.0))
664.0ms	(* (/ (/ 1 a) (sqrt 2.0)) (/ (- (* x y) (* (* z 9.0) t)) (sqrt 2.0)))

simplify6.1s

Counts

343 → 343

Iterations

Iter	Nodes
done	5002
2	3340
1	1184
0	395

prune4.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes4.0s

Accuracy

87.1% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 8.1b

bsearch2.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

931.0ms

11198×

body

valid