Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

361×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	288	13
4	751	13
5	1296	13
6	1556	13
7	1580	13
done	1580	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
5.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite56.0ms

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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

8.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (* z 9.0) t)
24.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series161.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
78.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	127	944
1	344	906
2	1429	787
done	5001	787

prune295.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize22.0ms

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))
5.4b	(/ (* x y) a)
5.5b	(/ (* t z) a)

rewrite71.0ms

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/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

23.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
17.0ms	(* 4.5 (/ (* t z) a))
11.0ms	(/ (* x y) a)
16.0ms	(/ (* t z) a)

series229.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
44.0ms	(* 4.5 (/ (* t z) a))
32.0ms	(/ (* x y) a)
24.0ms	(/ (* t z) a)

simplify1.1s

Counts

105 → 105

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	157	1165
1	399	1114
2	1475	975
done	5000	975

prune382.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite56.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

16.0ms	(* z (* 9.0 t))
10.0ms	(- (* x y) (* z (* 9.0 t)))
29.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series197.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* z (* 9.0 t))
66.0ms	(- (* x y) (* z (* 9.0 t)))
106.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	125	941
1	339	905
2	1297	786
done	5001	786

prune273.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
0.3b	(- (* x y) (* z (* 9.0 t)))
5.7b	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`associate-l`
14×	`associate-r`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r/` `prod-diff` `associate-l/` `clear-num`

Counts

4 → 126

Calls

4 calls:

28.0ms	(* z (* 9.0 t))
36.0ms	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
15.0ms	(- (* x y) (* z (* 9.0 t)))
43.0ms	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

series332.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* z (* 9.0 t))
78.0ms	(/ (- (* x y) (* z (* 9.0 t))) 2.0)
72.0ms	(- (* x y) (* z (* 9.0 t)))
158.0ms	(* (/ 1 a) (/ (- (* x y) (* z (* 9.0 t))) 2.0))

simplify1.4s

Counts

138 → 138

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	213	2289
1	563	2127
2	1994	1868
done	5001	1868

prune448.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

regimes900.0ms

Accuracy

21.8% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 7.6b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	99
1	59	99
done	59	99

end0.0ms

sample1.6s

Algorithm

intervals

Results

806.0ms

11154×

body

valid