Details

sample33.0ms

Algorithm

intervals

Results

10.0ms

280×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	105	11
5	167	11
6	225	11
7	308	11
8	480	11
9	864	11
10	2524	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- z a)))
12.4b	(/ (* y (- z t)) (- z a))

rewrite96.0ms

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:

23.0ms	(* y (- z t))
43.0ms	(+ x (/ (* y (- z t)) (- z a)))
28.0ms	(/ (* y (- z t)) (- z a))

series248.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* y (- z t))
95.0ms	(+ x (/ (* y (- z t)) (- z a)))
105.0ms	(/ (* y (- z t)) (- z a))

simplify861.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	128	846
1	353	793
2	1364	715
done	5000	715

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite167.0ms

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:

86.0ms	(+ x (/ y (/ (- z a) (- z t))))
33.0ms	(/ (- z a) (- z t))
35.0ms	(/ y (/ (- z a) (- z t)))

series347.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(+ x (/ y (/ (- z a) (- z t))))
65.0ms	(/ (- z a) (- z t))
143.0ms	(/ y (/ (- z a) (- z t)))

simplify1.8s

Counts

215 → 215

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	292	3727
1	801	3518
2	4018	3378
done	5001	3372

prune761.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

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:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
43.0ms	(/ (- z t) (- z a))
76.0ms	(* y (/ (- z t) (- z a)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ x (* y (/ (- z t) (- z a))))
67.0ms	(/ (- z t) (- z a))
82.0ms	(* y (/ (- z t) (- z a)))

simplify977.0ms

Counts

122 → 122

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	162	1555
1	448	1466
2	1785	1374
done	5000	1368

prune389.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
5.9b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- z a) (cbrt (- z t)))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

263×	`times-frac`
204×	`add-sqr-sqrt`
195×	`*-un-lft-identity`
143×	`associate-r`
111×	`add-cube-cbrt`
91×	`cbrt-prod`
42×	`distribute-lft-out--` `difference-of-squares`
36×	`cbrt-div`
25×	`add-exp-log`
18×	`flip3--` `flip--`
17×	`add-cbrt-cube`
16×	`frac-times`
12×	`associate-*l/`
9×	`pow1` `prod-exp` `cbrt-unprod`
7×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*r/`
4×	`div-inv` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative`

Counts

4 → 232

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
238.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- z a) (cbrt (- z t)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

611.0ms	(cbrt (- z t))
222.0ms	(cbrt (- z t))
248.0ms	(cbrt (- z t))
75.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- z a) (cbrt (- z t)))))

simplify1.1s

Counts

244 → 244

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	411	5291
1	1473	5022
done	5001	4708

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

493.0ms	8752×	body	80	valid
0.0ms	1×	body	640	valid