Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify213.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	19	9
2	44	9
3	82	9
4	132	9
5	179	9
6	212	9
7	230	9
8	234	9
done	234	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-/r/` `flip--` `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 → 49

Calls

2 calls:

36.0ms	(* z (- y t))
33.0ms	(/ (* x 2.0) (* z (- y t)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* z (- y t))
68.0ms	(/ (* x 2.0) (* z (- y t)))

simplify787.0ms

Counts

55 → 55

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	93	556
1	260	543
2	1413	437
done	5002	427

prune158.0ms

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))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
14×	`associate-r`
13×	`pow1` `add-sqr-sqrt` `cbrt-unprod`
12×	`div-exp`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
7×	`associate-*r/`
6×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp`
5×	`pow-prod-down`
4×	`associate-l` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `*-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 → 98

Calls

3 calls:

41.0ms	(* z (- y t))
34.0ms	(/ 1 (* z (- y t)))
85.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* z (- y t))
32.0ms	(/ 1 (* z (- y t)))
65.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	139	1165
1	405	1053
2	2442	828
done	5001	816

prune226.0ms

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)))

rewrite128.0ms

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×	`flip3--` `flip--` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 201

Calls

2 calls:

23.0ms	(/ (/ 1 z) (- y t))
76.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (/ 1 z) (- y t))
64.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify542.0ms

Counts

207 → 207

Iterations

Useful iterations: done (533.0ms)

Iter	Nodes	Cost
0	275	3153
1	923	2727
done	5000	2518

prune548.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))))

rewrite212.0ms

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×	`associate-*r/` `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 → 129

Calls

4 calls:

79.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))
51.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
25.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
43.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))

series924.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* x 2.0) (/ (/ 1 z) (- y t)))
282.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
295.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))
278.0ms	(cbrt (* (* x 2.0) (/ (/ 1 z) (- y t))))

simplify1000.0ms

Counts

141 → 141

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	249	2176
1	825	1947
done	5000	1627

prune730.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes480.0ms

Accuracy

75.4% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	49
1	25	41
done	25	41

end0.0ms

sample1.1s

Algorithm

intervals

Results

512.0ms

8786×

body

valid