Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

285×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
25	4987
24	4738
23	4485
22	4221
21	3975
20	3724
19	3468
18	3205
17	2954
16	2689
15	2425
14	2076
13	1689
12	1239
11	799
10	540
9	376
8	272
7	218
6	177
5	123
4	86
3	49
2	30
1	17
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
12.2b	(/ (* y (- z t)) (- a t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

30.0ms	(* y (- z t))
29.0ms	(+ x (/ (* y (- z t)) (- a t)))
41.0ms	(/ (* y (- z t)) (- a t))

series226.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* y (- z t))
108.0ms	(+ x (/ (* y (- z t)) (- a t)))
73.0ms	(/ (* y (- z t)) (- a t))

simplify2.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4464
2	1052
1	349
0	128

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.8b	(* y (/ (- z t) (- a t)))

rewrite92.0ms

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-cbrt-cube` `add-exp-log`
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` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- a t))))
43.0ms	(/ (- z t) (- a t))
38.0ms	(* y (/ (- z t) (- a t)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ x (* y (/ (- z t) (- a t))))
91.0ms	(/ (- z t) (- a t))
88.0ms	(* y (/ (- z t) (- a t)))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5003
2	1370
1	439
0	162

prune703.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
3.0b	(/ y (/ (- a t) (- z t)))

rewrite180.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

101.0ms	(+ x (/ y (/ (- a t) (- z t))))
34.0ms	(/ (- a t) (- z t))
23.0ms	(/ y (/ (- a t) (- z t)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(+ x (/ y (/ (- a t) (- z t))))
72.0ms	(/ (- a t) (- z t))
221.0ms	(/ y (/ (- a t) (- z t)))

simplify2.2s

Counts

215 → 215

Iterations

Iter	Nodes
done	5002
2	2701
1	780
0	292

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.9b	(/ y (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `flip3--` `pow1/3` `associate-/r/` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))
6.0ms	(cbrt (- a t))
54.0ms	(/ y (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t)))))

series927.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (- a t))
207.0ms	(cbrt (- a t))
223.0ms	(cbrt (- a t))
275.0ms	(/ y (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t)))))

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5028
3	3259
2	955
1	366
0	155

prune694.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes681.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

590.0ms	8715×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid