Details

sample229.0ms

Algorithm

intervals

Results

25.0ms

316×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
3	19
2	15
1	7
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite32.0ms

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×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

30.0ms

(* (+ x y) z)

series457.0ms

Counts

1 → 3

Calls

1 calls:

457.0ms

(* (+ x y) z)

simplify2.1s

Counts

27 → 27

Iterations

Iter	Nodes
done	5016
3	1787
2	377
1	116
0	48

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite69.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 84

Calls

4 calls:

35.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
10.0ms	(cbrt (* (+ x y) z))
11.0ms	(cbrt (* (+ x y) z))
11.0ms	(cbrt (* (+ x y) z))

series639.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
142.0ms	(cbrt (* (+ x y) z))
132.0ms	(cbrt (* (+ x y) z))
155.0ms	(cbrt (* (+ x y) z))

simplify2.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	2139
2	852
1	351
0	145

prune606.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

173×	`pow1`
152×	`associate-*r/`
78×	`pow-prod-down`
61×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
26×	`cbrt-div`
18×	`associate-*l/`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow-sqr`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`pow-plus` `associate-r` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `*-commutative`
2×	`cube-unmult`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 214

Calls

4 calls:

29.0ms	(* z (+ x y))
179.0ms	(* (* z (+ x y)) (* (* z (+ x y)) (* z (+ x y))))
67.0ms	(* (* z (+ x y)) (* z (+ x y)))
177.0ms	(cbrt (* (* z (+ x y)) (* (* z (+ x y)) (* z (+ x y)))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (+ x y))
65.0ms	(* (* z (+ x y)) (* (* z (+ x y)) (* z (+ x y))))
33.0ms	(* (* z (+ x y)) (* z (+ x y)))
47.0ms	(cbrt (* (* z (+ x y)) (* (* z (+ x y)) (* z (+ x y)))))

simplify2.2s

Counts

226 → 226

Iterations

Iter	Nodes
done	5027
2	3176
1	744
0	251

prune759.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`cbrt-div` `associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

16.0ms	(cbrt (* (+ x y) z))
6.0ms	(* (fma y (* y y) (* (* x x) x)) z)
1.0ms	(cbrt (fma (- y x) y (* x x)))
3.0ms	(cbrt (* (fma y (* y y) (* (* x x) x)) z))

series545.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (+ x y) z))
93.0ms	(* (fma y (* y y) (* (* x x) x)) z)
143.0ms	(cbrt (fma (- y x) y (* x x)))
134.0ms	(cbrt (* (fma y (* y y) (* (* x x) x)) z))

simplify2.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	4250
2	1125
1	369
0	175

prune647.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample782.0ms

Algorithm

intervals

Results

484.0ms

10145×

body

valid