Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

277×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	104	11
5	164	11
6	217	11
7	290	11
8	442	11
9	776	11
10	2270	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize340.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.7b	(/ (* y (- z t)) (- a t))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

32.0ms	(* y (- z t))
21.0ms	(+ x (/ (* y (- z t)) (- a t)))
39.0ms	(/ (* y (- z t)) (- a t))

series315.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* y (- z t))
151.0ms	(+ x (/ (* y (- z t)) (- a t)))
117.0ms	(/ (* y (- z t)) (- a t))

simplify862.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	128	846
1	350	793
2	1358	715
done	5002	715

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.5b	(/ y (/ (- a t) (- z t)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

114.0ms	(+ x (/ y (/ (- a t) (- z t))))
43.0ms	(/ (- a t) (- z t))
33.0ms	(/ y (/ (- a t) (- z t)))

series430.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ x (/ y (/ (- a t) (- z t))))
70.0ms	(/ (- a t) (- z t))
202.0ms	(/ y (/ (- a t) (- z t)))

simplify1.8s

Counts

215 → 215

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	292	3733
1	796	3524
2	3998	3384
done	5000	3378

prune710.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

13.0ms	(+ x (* y (/ (- z t) (- a t))))
46.0ms	(/ (- z t) (- a t))
90.0ms	(* y (/ (- z t) (- a t)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ x (* y (/ (- z t) (- a t))))
88.0ms	(/ (- z t) (- a t))
121.0ms	(* y (/ (- z t) (- a t)))

simplify1.2s

Counts

122 → 122

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	162	1555
1	446	1466
2	1787	1374
done	5000	1368

prune415.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ 1 (/ (- z t) (- a t)))))
0.0b	(/ (- z t) (- a t))
0.2b	(/ 1 (/ (- z t) (- a t)))
2.5b	(/ y (/ 1 (/ (- z t) (- a t))))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

1184×	`times-frac`
797×	`*-un-lft-identity`
795×	`add-sqr-sqrt`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 628

Calls

4 calls:

206.0ms	(+ x (/ y (/ 1 (/ (- z t) (- a t)))))
34.0ms	(/ (- z t) (- a t))
26.0ms	(/ 1 (/ (- z t) (- a t)))
99.0ms	(/ y (/ 1 (/ (- z t) (- a t))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ x (/ y (/ 1 (/ (- z t) (- a t)))))
67.0ms	(/ (- z t) (- a t))
221.0ms	(/ 1 (/ (- z t) (- a t)))
78.0ms	(/ y (/ 1 (/ (- z t) (- a t))))

simplify1.6s

Counts

640 → 640

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	765	14271
1	2249	11885
done	5000	10679

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

566.0ms	8710×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid