Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

361×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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)

rewrite71.0ms

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:

17.0ms	(+ (* (+ (* x y) z) y) t)
17.0ms	(+ (* x y) z)
35.0ms	(* (+ (* x y) z) y)

series202.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* (+ (* x y) z) y) t)
39.0ms	(+ (* x y) z)
60.0ms	(* (+ (* x y) z) y)

simplify825.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	904
1	212
0	80

prune331.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ t (* x (* y y)))
9.7b	(* x (* y y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ t (* x (* y y)))
19.0ms	(* x (* y y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ t (* x (* y y)))
51.0ms	(* x (* y y))

simplify805.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	861
1	173
0	56

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

9.7b	(* x (* y y))
23.6b	(cbrt (* x (* y y)))
23.6b	(cbrt (* x (* y y)))
23.6b	(cbrt (* x (* y y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 46

Calls

4 calls:

23.0ms	(* x (* y y))
15.0ms	(cbrt (* x (* y y)))
15.0ms	(cbrt (* x (* y y)))
16.0ms	(cbrt (* x (* y y)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* x (* y y))
127.0ms	(cbrt (* x (* y y)))
192.0ms	(cbrt (* x (* y y)))
162.0ms	(cbrt (* x (* y y)))

simplify754.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	705
1	171
0	67

prune471.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.3b	(- (* (* x y) (* x y)) (* z z))
7.4b	(* (- (* (* x y) (* x y)) (* z z)) y)
18.4b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

41.0ms	(* (* x y) (* x y))
24.0ms	(- (* (* x y) (* x y)) (* z z))
132.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
49.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series417.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* x y) (* x y))
121.0ms	(- (* (* x y) (* x y)) (* z z))
135.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
94.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify2.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2834
1	398
0	135

prune527.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes538.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

11311×

body

valid