Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

360×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
5	60
4	57
3	41
2	20
1	12
0	8

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

12.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(+ (* x y) z)
38.0ms	(* (+ (* x y) z) y)

series214.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* (+ (* x y) z) y) t)
26.0ms	(+ (* x y) z)
69.0ms	(* (+ (* x y) z) y)

simplify569.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	904
1	212
0	80

prune350.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))
0.6b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
64.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ (* x y) z))
176.0ms	(cbrt (+ (* x y) z))
161.0ms	(cbrt (+ (* x y) z))
186.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

simplify863.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1083
1	291
0	115

prune700.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ t (* x (* y y)))
0.0b	(+ (* z y) (+ t (* x (* y y))))
9.3b	(* x (* y y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

11.0ms	(+ t (* x (* y y)))
27.0ms	(+ (* z y) (+ t (* x (* y y))))
16.0ms	(* x (* y y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ t (* x (* y y)))
80.0ms	(+ (* z y) (+ t (* x (* y y))))
46.0ms	(* x (* y y))

simplify928.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	1562
1	276
0	82

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)) y)
0.2b	(* (* x y) (* x y))
1.0b	(- (* (* x y) (* x y)) (* z z))
21.8b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`associate-l`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-r` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `associate-*l/`

Counts

4 → 120

Calls

4 calls:

105.0ms	(* (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)) y)
23.0ms	(* (* x y) (* x y))
24.0ms	(- (* (* x y) (* x y)) (* z z))
117.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series334.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)) y)
63.0ms	(* (* x y) (* x y))
80.0ms	(- (* (* x y) (* x y)) (* z z))
87.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify1.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2815
1	486
0	166

prune748.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes554.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

629.0ms

11299×

body

valid