Details

sample104.0ms

Algorithm

intervals

Results

23.0ms

316×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	7
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

17.0ms

(* (+ x y) z)

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (+ x y) z)

simplify1.7s

Counts

25 → 25

Iterations

Iter	Nodes
done	5007
3	1620
2	353
1	112
0	46

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.5b	(cbrt (* (+ x y) z))
3.5b	(cbrt (* (+ x y) z))
3.5b	(cbrt (* (+ x y) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

21.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
5.0ms	(cbrt (* (+ x y) z))
5.0ms	(cbrt (* (+ x y) z))
5.0ms	(cbrt (* (+ x y) z))

series634.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
117.0ms	(cbrt (* (+ x y) z))
156.0ms	(cbrt (* (+ x y) z))
159.0ms	(cbrt (* (+ x y) z))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	2380
2	858
1	339
0	141

prune508.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.1b	(* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z))
0.3b	(* (* (+ x y) z) (* (+ x y) z))
32.4b	(cbrt (* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z)))

rewrite525.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
152×	`associate-*l/`
87×	`pow-prod-down`
61×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-l` `add-cube-cbrt`
5×	`associate-r`
4×	`pow2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

15.0ms	(* (+ x y) z)
211.0ms	(* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z))
85.0ms	(* (* (+ x y) z) (* (+ x y) z))
209.0ms	(cbrt (* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ x y) z)
89.0ms	(* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z))
50.0ms	(* (* (+ x y) z) (* (+ x y) z))
35.0ms	(cbrt (* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z)))

simplify2.0s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	2226
1	592
0	217

prune532.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (* (+ x y) z))
7.4b	(* z (+ (* y (* y y)) (* (* x x) x)))
23.4b	(cbrt (+ (* x x) (- (* y y) (* x y))))
29.7b	(cbrt (* z (+ (* y (* y y)) (* (* x x) x))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`cbrt-prod`
4×	`flip3-+` `associate-r` `associate-*r/` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`associate-*l/`
1×	`distribute-rgt-in` `distribute-lft-in` `cube-unmult` `pow3` `pow-prod-down` `prod-exp` `sum-cubes` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

5.0ms	(cbrt (* (+ x y) z))
80.0ms	(* z (+ (* y (* y y)) (* (* x x) x)))
11.0ms	(cbrt (+ (* x x) (- (* y y) (* x y))))
24.0ms	(cbrt (* z (+ (* y (* y y)) (* (* x x) x))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (* (+ x y) z))
112.0ms	(* z (+ (* y (* y y)) (* (* x x) x)))
147.0ms	(cbrt (+ (* x x) (- (* y y) (* x y))))
157.0ms	(cbrt (* z (+ (* y (* y y)) (* (* x x) x))))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1857
1	516
0	198

prune556.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes265.0ms

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	7
1	7
0	5

end0.0ms

sample882.0ms

Algorithm

intervals

Results

571.0ms

10145×

body

valid