Details

sample58.0ms

Algorithm

intervals

Results

21.0ms

280×

body

valid

simplify3.3s

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

prune462.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.3b	(/ (* y (- z t)) (- z a))

rewrite145.0ms

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:

51.0ms	(+ x (/ (* y (- z t)) (- z a)))
43.0ms	(* y (- z t))
47.0ms	(/ (* y (- z t)) (- z a))

series357.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(+ x (/ (* y (- z t)) (- z a)))
67.0ms	(* y (- z t))
134.0ms	(/ (* y (- z t)) (- z a))

simplify1.3s

Counts

76 → 76

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	128	846
1	353	793
2	1359	715
done	5001	715

prune570.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.1b	(/ y (/ (- z a) (- z t)))

rewrite241.0ms

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:

118.0ms	(+ x (/ y (/ (- z a) (- z t))))
45.0ms	(/ (- z a) (- z t))
49.0ms	(/ y (/ (- z a) (- z t)))

series468.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(+ x (/ y (/ (- z a) (- z t))))
80.0ms	(/ (- z a) (- z t))
219.0ms	(/ y (/ (- z a) (- z t)))

simplify2.5s

Counts

215 → 215

Iterations

Useful iterations: done (2.5s)

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

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.1b	(/ (/ (- z a) (- z t)) y)

rewrite592.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

261.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
45.0ms	(/ (- z a) (- z t))
94.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
74.0ms	(/ (/ (- z a) (- z t)) y)

series741.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
85.0ms	(/ (- z a) (- z t))
346.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
150.0ms	(/ (/ (- z a) (- z t)) y)

simplify2.5s

Counts

636 → 636

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	725	14217
1	2098	12572
done	5001	12096

prune3.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

12.0ms	(+ x (* (/ y (- z a)) (- z t)))
87.0ms	(* (/ y (- z a)) (- z t))

series359.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(+ x (* (/ y (- z a)) (- z t)))
198.0ms	(* (/ y (- z a)) (- z t))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: 2 (333.0ms)

Iter	Nodes	Cost
0	137	909
1	363	869
2	1562	809
done	5000	809

prune492.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes734.0ms

Accuracy

16.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.2b

bsearch160.0ms

Steps

Iters	Range		Point
11	1.3903544171247941e-19	58383.88522329229	2.117605674792074e-19
9	-1.0505325780696424e-96	-4.0040255522943795e-102	-5.737065098509035e-97

simplify24.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	43
1	32	43
done	32	43

end0.0ms

sample1.5s

Algorithm

intervals

Results

727.0ms	8690×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid