Details

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

16.0ms

(/ x (+ x y))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(/ x (+ x y))

simplify2.3s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	1738
2	392
1	129
0	60

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) x)
0.6b	(/ 1 (/ (+ x y) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
99×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
18×	`distribute-lft-out`
15×	`add-exp-log`
13×	`associate-/l*`
12×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 137

Calls

2 calls:

21.0ms	(/ (+ x y) x)
35.0ms	(/ 1 (/ (+ x y) x))

series114.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ x y) x)
73.0ms	(/ 1 (/ (+ x y) x))

simplify2.5s

Counts

143 → 143

Iterations

Iter	Nodes
done	5015
3	4453
2	1296
1	424
0	170

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))
0.1b	(* (/ (+ x y) x) (/ (+ x y) x))
0.6b	(/ 1 (cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))))
14.7b	(cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)))

rewrite4.0s

Algorithm

rewrite-expression-head

Rules

11916×	`frac-times`
7108×	`*-un-lft-identity`
6313×	`associate-/l*`
4773×	`associate-/r*`
4476×	`cbrt-div`
4011×	`add-sqr-sqrt`
3537×	`add-cube-cbrt`
3112×	`associate-/l/`
2238×	`associate-/r/`
1743×	`distribute-lft-out`
1600×	`clear-num`
1557×	`frac-2neg`
1556×	`flip3-+` `flip-+`
993×	`associate-*l/`
961×	`times-frac`
516×	`associate-*r/`
510×	`cbrt-prod`
490×	`associate-l`
208×	`associate-r`
184×	`unswap-sqr`
178×	`swap-sqr`
129×	`un-div-inv`
61×	`add-exp-log`
60×	`add-cbrt-cube`
35×	`div-inv`
31×	`pow1`
27×	`*-commutative`
22×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
7×	`pow-plus` `pow-prod-up`
4×	`pow3` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow1/3` `rem-cbrt-cube` `pow-flip`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 7658

Calls

4 calls:

598.0ms	(* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))
150.0ms	(* (/ (+ x y) x) (/ (+ x y) x))
1.1s	(/ 1 (cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))))
649.0ms	(cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))
34.0ms	(* (/ (+ x y) x) (/ (+ x y) x))
72.0ms	(/ 1 (cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))))
51.0ms	(cbrt (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)))

simplify6.7s

Counts

7670 → 7670

Iterations

Iter	Nodes
done	6475
0	6475

prune31.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ x y))
0.7b	(cbrt (+ x y))
1.4b	(/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y)))))
14.7b	(cbrt (/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y))))))

rewrite23.0s

Algorithm

rewrite-expression-head

Rules

224657×	`add-sqr-sqrt`
142650×	`times-frac`
115652×	`unswap-sqr`
104527×	`cbrt-prod`
74580×	`associate-l`
67919×	`*-un-lft-identity`
43830×	`associate-r`
31717×	`add-cube-cbrt`
18738×	`swap-sqr`
9824×	`distribute-lft-out`
9262×	`*-commutative`
3748×	`add-cbrt-cube`
3302×	`associate-/r/`
3141×	`cbrt-div`
2780×	`cbrt-unprod`
1932×	`flip3-+` `flip-+`
1632×	`div-inv`
1552×	`cbrt-undiv`
1184×	`frac-times`
996×	`associate-/l*`
940×	`associate-/r*`
892×	`associate-*l/`
712×	`add-exp-log`
700×	`associate-/l/`
470×	`associate-*r/`
409×	`prod-exp`
236×	`div-exp`
104×	`clear-num`
74×	`frac-2neg`
60×	`un-div-inv`
42×	`1-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 61220

Calls

4 calls:

7.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
3.3s	(/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y)))))
4.0s	(cbrt (/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y))))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (+ x y))
291.0ms	(cbrt (+ x y))
81.0ms	(/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y)))))
33.0ms	(cbrt (/ (* (* (/ (+ x y) (* (cbrt x) (cbrt x))) 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* (cbrt x) (/ x (+ x y))) (/ x (cbrt (+ x y))))))

simplify1.8m

Counts

61232 → 61232

Iterations

Iter	Nodes
done	50036
0	50036

prune5.8m

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample628.0ms

Algorithm

intervals

Results

449.0ms

8000×

body

valid