Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

287×

body

valid

simplify759.0ms

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	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite131.0ms

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))))
34.0ms	(/ (- z t) (- a t))
76.0ms	(* y (/ (- z t) (- a t)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (* y (/ (- z t) (- a t))))
73.0ms	(/ (- z t) (- a t))
85.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune375.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite200.0ms

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:

23.0ms	(/ (- a t) (- z t))
6.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
29.0ms	(/ 1 (/ (- a t) (- z t)))
99.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- a t) (- z t))
157.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
187.0ms	(/ 1 (/ (- a t) (- z t)))
205.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.4s

Counts

350 → 350

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	373	5716
1	917	4608
2	2008	4223
done	5000	4147

prune958.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- a t) (- z t)))
3.4b	(cbrt (/ 1 (/ (- a t) (- z t))))
3.4b	(cbrt (/ (- z t) (- a t)))
3.4b	(cbrt (/ (- z t) (- a t)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

411×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity`
167×	`add-cube-cbrt`
160×	`cbrt-prod`
90×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
20×	`associate-/r/`
15×	`add-exp-log`
11×	`div-inv`
9×	`flip3--` `add-cbrt-cube` `flip--`
7×	`div-exp`
5×	`pow1`
4×	`add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 335

Calls

4 calls:

27.0ms	(/ 1 (/ (- a t) (- z t)))
17.0ms	(cbrt (/ 1 (/ (- a t) (- z t))))
10.0ms	(cbrt (/ (- z t) (- a t)))
22.0ms	(cbrt (/ (- z t) (- a t)))

series1.6s

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ 1 (/ (- a t) (- z t)))
647.0ms	(cbrt (/ 1 (/ (- a t) (- z t))))
423.0ms	(cbrt (/ (- z t) (- a t)))
374.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.8s

Counts

347 → 347

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	508	6986
1	918	6023
2	1881	5541
3	4685	5371
done	5000	5367

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* (/ y (- a t)) (- z t)))
10.9b	(* (/ y (- a t)) (- z t))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

14.0ms	(/ y (- a t))
8.0ms	(+ x (* (/ y (- a t)) (- z t)))
54.0ms	(* (/ y (- a t)) (- z t))

series382.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ y (- a t))
134.0ms	(+ x (* (/ y (- a t)) (- z t)))
207.0ms	(* (/ y (- a t)) (- z t))

simplify2.8s

Counts

111 → 111

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	166	1295
1	408	1238
2	1311	1158
3	4648	1158
done	5002	1158

prune348.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	16	13
done	16	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

511.0ms	8743×	body	80	valid
0.0ms	1×	body	1280	valid