Details

sample54.0ms

Algorithm

intervals

Results

20.0ms

276×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.6b	(* y (/ (- z t) (- a t)))

rewrite143.0ms

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:

11.0ms	(+ x (* y (/ (- z t) (- a t))))
42.0ms	(/ (- z t) (- a t))
81.0ms	(* y (/ (- z t) (- a t)))

series362.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ x (* y (/ (- z t) (- a t))))
82.0ms	(/ (- z t) (- a t))
130.0ms	(* y (/ (- z t) (- a t)))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: done (1.3s)

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

prune815.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.6b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

10.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
40.0ms	(/ (- a t) (- z t))
50.0ms	(/ 1 (/ (- a t) (- z t)))
136.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
82.0ms	(/ (- a t) (- z t))
241.0ms	(/ 1 (/ (- a t) (- z t)))
268.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify963.0ms

Counts

350 → 350

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	373	5716
1	1097	4784
done	5000	4440

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
0.0b	(/ (- a t) (- z t))
1.6b	(/ y (/ (- a t) (- z t)))

rewrite337.0ms

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:

211.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
54.0ms	(/ (- a t) (- z t))
44.0ms	(/ y (/ (- a t) (- z t)))

series563.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
81.0ms	(/ (- a t) (- z t))
263.0ms	(/ y (/ (- a t) (- z t)))

simplify2.3s

Counts

215 → 215

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	295	3771
1	806	3516
2	4110	3376
done	5000	3370

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.3b	(/ 1 (/ (- z t) (- a t)))
0.3b	(/ 1 (/ 1 (/ (- z t) (- a t))))
1.6b	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

2004×	`times-frac`
1305×	`add-sqr-sqrt`
1279×	`*-un-lft-identity`
746×	`add-cube-cbrt`
299×	`associate-r`
262×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
126×	`add-exp-log`
78×	`div-exp`
62×	`associate-/r/`
36×	`div-inv`
34×	`add-cbrt-cube`
28×	`rec-exp` `1-exp`
27×	`flip3--` `flip--`
22×	`prod-exp`
16×	`cbrt-undiv`
11×	`associate-/l*` `unswap-sqr`
9×	`pow1`
5×	`pow-flip`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `inv-pow`
2×	`associate-/l/`
1×	`div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `remove-double-div`

Counts

4 → 985

Calls

4 calls:

39.0ms	(/ (- z t) (- a t))
49.0ms	(/ 1 (/ (- z t) (- a t)))
87.0ms	(/ 1 (/ 1 (/ (- z t) (- a t))))
278.0ms	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (- z t) (- a t))
224.0ms	(/ 1 (/ (- z t) (- a t)))
84.0ms	(/ 1 (/ 1 (/ (- z t) (- a t))))
113.0ms	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

simplify4.0s

Counts

997 → 997

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	938	20558
1	2958	12833
done	5001	12411

prune4.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes586.0ms

Accuracy

0% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	13
1	15	11
done	15	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

678.0ms

8755×

body

valid