Details

sample48.0ms

Algorithm

intervals

Results

17.0ms

334×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	69	9
4	162	9
5	375	9
6	1374	9
done	5001	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.8b	(/ (* y (- z t)) a)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

20.0ms	(- x (/ (* y (- z t)) a))
35.0ms	(* y (- z t))
28.0ms	(/ (* y (- z t)) a)

series245.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- x (/ (* y (- z t)) a))
75.0ms	(* y (- z t))
82.0ms	(/ (* y (- z t)) a)

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	120	760
1	311	717
2	1161	651
done	5000	633

prune409.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* y (- z t)) (/ 1 a)))
0.0b	(* y (- z t))
6.9b	(* (* y (- z t)) (/ 1 a))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

8.0ms	(- x (* (* y (- z t)) (/ 1 a)))
32.0ms	(* y (- z t))
66.0ms	(* (* y (- z t)) (/ 1 a))

series224.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (* (* y (- z t)) (/ 1 a)))
56.0ms	(* y (- z t))
81.0ms	(* (* y (- z t)) (/ 1 a))

simplify3.3s

Counts

89 → 89

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	155	1082
1	437	968
2	2540	791
done	5000	781

prune445.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ a (* y (- z t)))))
0.0b	(* y (- z t))
0.5b	(/ 1 (/ a (* y (- z t))))
6.9b	(/ a (* y (- z t)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-exp-log` `*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
4×	`difference-of-squares`
3×	`sub-neg` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

33.0ms	(- x (/ 1 (/ a (* y (- z t)))))
37.0ms	(* y (- z t))
34.0ms	(/ 1 (/ a (* y (- z t))))
17.0ms	(/ a (* y (- z t)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- x (/ 1 (/ a (* y (- z t)))))
60.0ms	(* y (- z t))
78.0ms	(/ 1 (/ a (* y (- z t))))
66.0ms	(/ a (* y (- z t)))

simplify1.3s

Counts

142 → 142

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	206	1849
1	498	1654
2	2219	1536
done	5002	1526

prune988.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (/ a y) (- z t))))
0.5b	(/ 1 (/ (/ a y) (- z t)))
5.7b	(/ (/ a y) (- z t))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

784×	`times-frac`
482×	`add-sqr-sqrt`
465×	`*-un-lft-identity`
327×	`add-cube-cbrt`
76×	`associate-/r*`
73×	`difference-of-squares`
68×	`distribute-lft-out--`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 433

Calls

3 calls:

143.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
50.0ms	(/ 1 (/ (/ a y) (- z t)))
35.0ms	(/ (/ a y) (- z t))

series260.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
96.0ms	(/ 1 (/ (/ a y) (- z t)))
73.0ms	(/ (/ a y) (- z t))

simplify1.4s

Counts

442 → 442

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	594	8775
1	1693	7627
done	5001	7297

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

78.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	45
1	29	36
2	33	36
done	33	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

686.0ms

10613×

body

valid