Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify233.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	20	9
2	46	9
3	88	9
4	138	9
5	192	9
6	238	9
7	265	9
8	272	9
done	272	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
4.4b	(/ (* x 2.0) (* z (- y t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

24.0ms	(* z (- y t))
19.0ms	(/ (* x 2.0) (* z (- y t)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* z (- y t))
57.0ms	(/ (* x 2.0) (* z (- y t)))

simplify935.0ms

Counts

77 → 77

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	145	1080
1	371	911
2	2010	719
done	5000	689

prune218.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.5b	(/ 1 (* z (- y t)))
4.4b	(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
14×	`associate-r`
13×	`pow1` `cbrt-unprod`
12×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-*r/`
6×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp`
5×	`pow-prod-down`
4×	`associate-l` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `pow-flip` `*-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `un-div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 122

Calls

3 calls:

48.0ms	(* z (- y t))
30.0ms	(/ 1 (* z (- y t)))
68.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

series149.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* z (- y t))
28.0ms	(/ 1 (* z (- y t)))
82.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.0s

Counts

131 → 131

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	193	1709
1	516	1441
2	2975	1108
done	5000	1084

prune342.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ 1 z) (- y t))
4.4b	(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
161×	`add-sqr-sqrt` `*-un-lft-identity`
107×	`add-cube-cbrt`
71×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
27×	`distribute-lft-out--` `difference-of-squares`
18×	`div-exp`
15×	`prod-exp`
13×	`div-inv` `associate-/l*`
9×	`cbrt-undiv` `cbrt-unprod`
7×	`pow1`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`rec-exp` `1-exp` `pow-prod-down`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 205

Calls

2 calls:

35.0ms	(/ (/ 1 z) (- y t))
64.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))

series505.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (/ 1 z) (- y t))
463.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify482.0ms

Counts

211 → 211

Iterations

Useful iterations: done (476.0ms)

Iter	Nodes	Cost
0	279	3193
1	907	2777
done	5001	2558

prune541.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* x 2.0) (/ (/ 1 z) (- y t)))
16.5b	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
16.5b	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
16.5b	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`associate-r`
53×	`add-cube-cbrt`
39×	`add-exp-log`
25×	`add-cbrt-cube`
15×	`prod-exp`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`div-exp`
9×	`pow1` `cbrt-unprod`
6×	`cbrt-undiv` `div-inv`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `pow-prod-down`
2×	`rec-exp` `1-exp` `associate-/r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--`

Counts

4 → 137

Calls

4 calls:

91.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))
42.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
59.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
25.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))
231.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
225.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
241.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))

simplify583.0ms

Counts

149 → 149

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	253	2278
1	830	2059
done	5001	1713

prune744.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes302.0ms

Accuracy

57.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.4b

bsearch77.0ms

Steps

Iters	Range		Point
6	6.1867143860671086e-52	4.270342289920316e-51	3.7543002258414955e-51
8	-1.391509469090025e+90	-3.334696767217578e+87	-6.609155278402764e+88

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	37
1	25	29
done	25	29

end0.0ms

sample1.2s

Algorithm

intervals

Results

634.0ms

8786×

body

valid