Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

279×

body

valid

simplify2.4s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.2b	(/ (* y (- z t)) (- z a))

rewrite81.0ms

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:

27.0ms	(+ x (/ (* y (- z t)) (- z a)))
22.0ms	(* y (- z t))
29.0ms	(/ (* y (- z t)) (- z a))

series261.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ x (/ (* y (- z t)) (- z a)))
44.0ms	(* y (- z t))
84.0ms	(/ (* y (- z t)) (- z a))

simplify864.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (198.0ms)

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

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.6b	(/ y (/ (- z a) (- z t)))

rewrite179.0ms

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:

74.0ms	(+ x (/ y (/ (- z a) (- z t))))
36.0ms	(/ (- z a) (- z t))
43.0ms	(/ y (/ (- z a) (- z t)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (/ y (/ (- z a) (- z t))))
60.0ms	(/ (- z a) (- z t))
150.0ms	(/ 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

prune781.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.6b	(/ y (/ (- z a) (- z t)))

rewrite193.0ms

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:

109.0ms	(+ x (/ y (/ (- z a) (- z t))))
26.0ms	(/ (- z a) (- z t))
38.0ms	(/ y (/ (- z a) (- z t)))

series329.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(+ x (/ y (/ (- z a) (- z t))))
50.0ms	(/ (- z a) (- z t))
147.0ms	(/ y (/ (- z a) (- z t)))

simplify2.0s

Counts

215 → 215

Iterations

Useful iterations: done (2.0s)

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

prune811.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
0.0b	(/ (- z t) (- z a))
0.2b	(/ 1 (/ (- z t) (- z a)))
3.6b	(/ y (/ 1 (/ (- z t) (- z a))))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

1184×	`times-frac`
797×	`*-un-lft-identity`
795×	`add-sqr-sqrt`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 628

Calls

4 calls:

228.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
44.0ms	(/ (- z t) (- z a))
32.0ms	(/ 1 (/ (- z t) (- z a)))
65.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

series769.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
60.0ms	(/ (- z t) (- z a))
488.0ms	(/ 1 (/ (- z t) (- z a)))
113.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

simplify1.8s

Counts

640 → 640

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	764	14267
1	2250	11893
done	5001	10675

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes236.0ms

Accuracy

60.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch95.0ms

Steps

Iters	Range		Point
9	5.235214087679141e-108	2.6665792587040808e-102	1.8128397489845453e-103
7	-2.7449063433751756e-58	-2.8196191390646307e-60	-4.2934639627149985e-60

simplify21.0ms

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	23	49
1	32	33
done	32	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

612.0ms	8739×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid