Details

sample46.0ms

Algorithm

intervals

Results

23.0ms

263×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	325
1	25	325
2	39	325
3	64	325
4	114	325
5	262	325
6	793	325
7	3129	325
done	5000	325

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
6.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`fma-def` `flip3-+` `flip3--` `prod-diff` `flip-+` `flip--`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `fma-neg` `diff-log`

Counts

4 → 113

Calls

4 calls:

62.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
13.0ms	(- (* y z) x)
186.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms	(/ (- (* y z) x) (- (* t z) x))

series545.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
46.0ms	(- (* y z) x)
208.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
129.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.2s

Counts

125 → 125

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	183	42739
1	489	39944
2	2206	39311
done	5001	39261

prune924.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
0.8b	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
6.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

166×	`*-un-lft-identity`
155×	`times-frac`
82×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
29×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-/r/`
10×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`clear-num` `frac-2neg` `flip3--` `prod-diff` `flip--`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 208

Calls

4 calls:

7.0ms	(- (* y z) x)
108.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
125.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
46.0ms	(/ (- (* y z) x) (- (* t z) x))

series532.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* y z) x)
179.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
216.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
108.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.8s

Counts

220 → 220

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	287	109034
1	774	94578
2	4328	92280
done	5001	92280

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.7b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
6.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `associate-/r/`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`clear-num` `frac-2neg` `prod-diff`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

7.0ms	(- (* y z) x)
34.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
171.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
38.0ms	(/ (- (* t z) x) (- (* y z) x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) x)
172.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
257.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
104.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify2.9s

Counts

197 → 197

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	285	84262
1	758	73545
2	4573	69707
done	5000	69707

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

localize57.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.5b	(/ x (- (* t z) x))
3.1b	(/ y (- (* t z) x))
3.8b	(fma (/ y (- (* t z) x)) z x)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

103.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
11.0ms	(/ x (- (* t z) x))
14.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)

series502.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
98.0ms	(/ x (- (* t z) x))
50.0ms	(/ y (- (* t z) x))
101.0ms	(fma (/ y (- (* t z) x)) z x)

simplify1.7s

Counts

137 → 137

Iterations

Useful iterations: 2 (555.0ms)

Iter	Nodes	Cost
0	215	50203
1	512	47762
2	1854	47367
done	5000	47367

prune842.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes461.0ms

Accuracy

51.8% (3.6b remaining)

Error of 3.8b against oracle of 0.3b and baseline of 7.6b

bsearch139.0ms

Steps

Iters	Range		Point
8	6.601899086925292e+128	1.1120187522348944e+133	3.641116230673848e+130
9	-5.257175832013604e+178	-2.2922435397337613e+171	-1.160115839689408e+172

simplify14.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	24	748
1	34	748
done	34	748

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8307×

body

valid