Details

sample89.0ms

Algorithm

intervals

Results

48.0ms	126×	pre	10240	exit
18.0ms	256×	body	80	valid
7.0ms	130×	pre	80	true

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1 x1))
7.5b	(- (/ x0 (- 1 x1)) x0)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 58

Calls

2 calls:

23.0ms	(/ x0 (- 1 x1))
133.0ms	(- (/ x0 (- 1 x1)) x0)

series69.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x0 (- 1 x1))
42.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	1887
2	672
1	251
0	121

prune243.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
5.5b	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

3912×	`frac-times`
3377×	`add-sqr-sqrt`
3066×	`associate-/r*`
2734×	`*-un-lft-identity`
1546×	`associate-/l*`
1178×	`difference-of-squares`
1099×	`add-cube-cbrt`
543×	`distribute-lft-out--`
524×	`clear-num`
511×	`frac-2neg`
326×	`associate-*r/`
300×	`unswap-sqr`
289×	`times-frac`
168×	`associate-*l/`
111×	`associate-r`
77×	`swap-sqr`
53×	`associate-l`
49×	`add-cbrt-cube` `add-exp-log`
40×	`*-commutative`
26×	`un-div-inv`
18×	`pow1` `prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
14×	`associate-/r/`
10×	`cube-unmult`
8×	`flip3--` `div-inv` `flip--`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`difference-cubes` `insert-posit16`
3×	`pow-prod-down`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `pow-sqr`

Counts

4 → 2608

Calls

4 calls:

14.0ms	(/ x0 (- 1 x1))
11.0ms	(/ x0 (- 1 x1))
699.0ms	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
3.2s	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1 x1))
46.0ms	(/ x0 (- 1 x1))
80.0ms	(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
107.0ms	(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

simplify4.8s

Counts

2620 → 2620

Iterations

Iter	Nodes
done	5000
0	2671

prune10.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize64.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
0.8b	(/ x0 (- 1 x1))
5.5b	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

1539×	`add-sqr-sqrt`
564×	`unswap-sqr`
558×	`times-frac`
240×	`difference-of-squares`
144×	`sqrt-prod`
83×	`*-un-lft-identity`
40×	`*-commutative`
39×	`add-cube-cbrt`
36×	`swap-sqr`
24×	`associate-/r*`
16×	`associate-/r/`
14×	`distribute-lft-out--`
12×	`associate-r`
10×	`add-cbrt-cube` `distribute-rgt-out--` `associate-*r/` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log` `associate-l`

Counts

4 → 367

Calls

4 calls:

21.0ms	(/ x0 (- 1 x1))
19.0ms	(/ x0 (- 1 x1))
19.0ms	(/ x0 (- 1 x1))
6.4s	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x0 (- 1 x1))
29.0ms	(/ x0 (- 1 x1))
38.0ms	(/ x0 (- 1 x1))
133.0ms	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

simplify2.1s

Counts

379 → 379

Iterations

Iter	Nodes
done	5002
2	2289
1	759
0	317

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1 x1))
0.8b	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
0.9b	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
5.5b	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

rewrite7.0s

Algorithm

rewrite-expression-head

Rules

7824×	`frac-times`
6938×	`add-sqr-sqrt`
6120×	`associate-/r*`
5392×	`*-un-lft-identity`
3085×	`associate-/l*`
2320×	`difference-of-squares`
2224×	`cbrt-div`
2164×	`add-cube-cbrt`
1066×	`distribute-lft-out--`
1047×	`clear-num`
1019×	`frac-2neg`
776×	`times-frac`
652×	`associate-*l/`
624×	`unswap-sqr`
346×	`associate-*r/`
223×	`associate-l`
144×	`sqrt-prod`
134×	`cbrt-prod`
108×	`associate-r`
104×	`swap-sqr`
56×	`un-div-inv`
50×	`*-commutative`
47×	`add-cbrt-cube` `add-exp-log`
32×	`associate-/r/`
23×	`pow1`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
12×	`flip3--` `flip--`
11×	`div-inv`
10×	`distribute-rgt-out--`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
4×	`pow3` `insert-posit16`
3×	`pow-prod-down`
2×	`pow2` `pow-sqr` `rem-cbrt-cube`
1×	`sub-neg` `pow1/3` `diff-log`

Counts

4 → 5046

Calls

4 calls:

14.0ms	(/ x0 (- 1 x1))
550.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
566.0ms	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
5.2s	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1 x1))
74.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
57.0ms	(cbrt (* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1))))
106.0ms	(- (/ (* (/ x0 (sqrt (- 1 x1))) (/ x0 (- 1 x1))) (* (sqrt (- 1 x1)) (/ (- 1 x1) x0))) (* x0 (* x0 x0)))

simplify5.4s

Counts

5058 → 5058

Iterations

Iter	Nodes
done	5110
0	5110

prune19.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

regimes89.0ms

Accuracy

0% (1.1b remaining)

Error of 5.4b against oracle of 4.3b and baseline of 5.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	4004×	pre	10240	exit
375.0ms	8000×	body	80	valid
142.0ms	3996×	pre	80	true