Details

sample53.0ms

Algorithm

intervals

Results

14.0ms

267×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3253
7	1321
6	488
5	206
4	113
3	64
2	39
1	25
0	13

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `flip3--` `div-sub` `prod-diff` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 98

Calls

3 calls:

24.0ms	(- (* t z) x)
267.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
70.0ms	(/ (- (* y z) x) (- (* t z) x))

series523.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* t z) x)
322.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
140.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify3.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1437
1	467
0	177

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
3.3b	(/ x (- (* t z) x))
9.5b	(/ (* y z) (- (* t z) x))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
159×	`*-un-lft-identity`
135×	`prod-diff`
125×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
60×	`associate-/r/`
30×	`flip3--` `div-inv` `flip--`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
9×	`fma-neg` `associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `distribute-rgt-out--`
2×	`flip3-+` `flip-+` `difference-of-squares` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 274

Calls

4 calls:

217.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
1.4s	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
33.0ms	(/ x (- (* t z) x))
56.0ms	(/ (* y z) (- (* t z) x))

series724.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
341.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
122.0ms	(/ x (- (* t z) x))
96.0ms	(/ (* y z) (- (* t z) x))

simplify5.7s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3171
1	1030
0	406

prune4.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(/ y (/ (- (* t z) x) z))
3.3b	(/ x (- (* t z) x))
8.3b	(/ (- (* t z) x) z)

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `div-sub` `flip-+` `flip--`
1×	`associate-+r-`

Counts

4 → 187

Calls

4 calls:

1.8s	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
44.0ms	(/ y (/ (- (* t z) x) z))
39.0ms	(/ x (- (* t z) x))
41.0ms	(/ (- (* t z) x) z)

series630.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
93.0ms	(/ y (/ (- (* t z) x) z))
129.0ms	(/ x (- (* t z) x))
104.0ms	(/ (- (* t z) x) z)

simplify4.7s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	2581
1	752
0	296

prune2.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(/ y (- t (/ x z)))
3.3b	(/ x (- (* t z) x))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

634×	`add-sqr-sqrt`
611×	`times-frac`
514×	`*-un-lft-identity`
362×	`add-cube-cbrt`
360×	`prod-diff`
108×	`difference-of-squares`
86×	`associate-/r/`
61×	`distribute-lft-out--`
43×	`flip3--` `div-inv` `flip--`
24×	`fma-neg`
16×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 532

Calls

4 calls:

351.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
2.0s	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
50.0ms	(/ y (- t (/ x z)))
19.0ms	(/ x (- (* t z) x))

series606.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
236.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
77.0ms	(/ y (- t (/ x z)))
134.0ms	(/ x (- (* t z) x))

simplify5.9s

Counts

544 → 544

Iterations

Iter	Nodes
done	5000
2	3702
1	1455
0	631

prune9.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes902.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

8330×

body

valid