Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	80×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `insert-posit16` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 64

Calls

3 calls:

14.0ms	(sqrt (+ x 1.0))
29.0ms	(+ 1.0 (sqrt (+ x 1.0)))
40.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series363.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(sqrt (+ x 1.0))
81.0ms	(+ 1.0 (sqrt (+ x 1.0)))
228.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1076
1	319
0	140

prune233.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-*r/` `distribute-lft-out`
8×	`pow1` `associate-/r*`
7×	`associate-/l*`
6×	`add-log-exp`
4×	`flip3-+` `div-exp` `prod-exp` `associate-/r/` `sqrt-prod` `flip-+` `insert-posit16`
3×	`clear-num` `associate-l` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `sqrt-div` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 121

Calls

4 calls:

6.0ms	(sqrt (+ x 1.0))
14.0ms	(+ 1.0 (sqrt (+ x 1.0)))
57.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
208.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (+ x 1.0))
82.0ms	(+ 1.0 (sqrt (+ x 1.0)))
136.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
198.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	1731
1	466
0	190

prune444.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
5.6b	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

rewrite5.3s

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
201×	`add-sqr-sqrt`
133×	`associate-l`
105×	`distribute-lft-out`
85×	`sqrt-prod`
67×	`times-frac`
60×	`sqrt-div`
59×	`associate-r`
54×	`add-cube-cbrt`
50×	`flip3-+` `flip-+`
46×	`frac-times`
44×	`associate-/r*`
40×	`unswap-sqr`
33×	`difference-of-squares`
30×	`associate-*r/`
26×	`distribute-rgt-out--`
25×	`associate-*l/`
23×	`swap-sqr`
22×	`*-commutative`
21×	`pow1`
20×	`cube-unmult` `pow3` `sum-cubes`
16×	`frac-sub`
14×	`distribute-lft-out--`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
8×	`sqrt-pow1` `pow1/2`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`distribute-rgt-in` `associate-+r+` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-/r/` `insert-posit16` `sub-div`
3×	`sub-neg` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`cbrt-undiv` `+-commutative` `div-exp` `div-inv`
1×	`pow2` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `diff-log` `flip--`

Counts

4 → 352

Calls

4 calls:

4.4s	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
44.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
470.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
423.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

series970.0ms

Counts

4 → 12

Calls

4 calls:

561.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
19.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
102.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
288.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

simplify1.9s

Counts

364 → 364

Iterations

Iter	Nodes
done	5000
1	1576
0	454

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

rewrite988.0ms

Algorithm

rewrite-expression-head

Rules

272×	`add-sqr-sqrt`
170×	`sqrt-prod`
136×	`*-un-lft-identity`
120×	`sqrt-div`
92×	`associate-r`
76×	`unswap-sqr`
66×	`difference-of-squares`
60×	`flip3-+` `flip-+`
56×	`associate-*r/`
52×	`distribute-rgt-out--`
46×	`swap-sqr`
34×	`pow1`
32×	`frac-sub`
30×	`distribute-lft-out`
28×	`add-cube-cbrt`
24×	`frac-times`
22×	`associate-l` `*-commutative`
16×	`sqrt-pow1` `pow1/2` `associate-*l/`
12×	`distribute-lft-out--`
10×	`pow-prod-up`
8×	`add-cbrt-cube` `add-exp-log` `sub-div` `add-log-exp`
6×	`pow-prod-down` `pow-sqr`
4×	`insert-posit16`
2×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `diff-log` `prod-exp` `cbrt-unprod` `flip--`

Counts

4 → 322

Calls

4 calls:

46.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
47.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
466.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
395.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
32.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
116.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
73.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

simplify1.8s

Counts

334 → 334

Iterations

Iter	Nodes
done	5001
2	1657
1	568
0	210

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

952.0ms	7995×	body	80	valid
122.0ms	2550×	body	80	nan
2.0ms	5×	body	1280	valid