Details

sample35.0ms

Algorithm

intervals

Results

21.0ms

297×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	61
4	61
3	59
2	30
1	13
0	7

prune4.0ms

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 4.0) z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 21

Calls

1 calls:

8.0ms

(- x (* (* y 4.0) z))

series68.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(- x (* (* y 4.0) z))

simplify1.1s

Counts

24 → 24

Iterations

Iter	Nodes
done	2000
3	1895
2	403
1	112
0	46

prune87.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (- (* z (* y 4.0))))
50.5b	(fma (- z) (* y 4.0) (* z (* y 4.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma 1 x (- (* z (* y 4.0))))
0.0ms	(fma (- z) (* y 4.0) (* z (* y 4.0)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma 1 x (- (* z (* y 4.0))))
43.0ms	(fma (- z) (* y 4.0) (* z (* y 4.0)))

simplify489.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2003
3	428
2	111
1	56
0	37

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
3.7b	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
30.5b	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-cbrt-cube` `add-exp-log`
27×	`prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`pow-sqr` `pow-prod-up`
8×	`add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*` `fma-def` `pow-plus`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `prod-diff` `*-commutative` `div-inv`

Counts

4 → 137

Calls

4 calls:

9.0ms	(+ x (* (* y 4.0) z))
115.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
9.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
27.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (* (* y 4.0) z))
39.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
137.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
126.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

simplify752.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	2000
2	1775
1	486
0	173

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y 4.0) z))
0.0b	(/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z)))
0.0b	(- x (* (* y 4.0) z))
0.0b	(* (/ (+ x (* (* y 4.0) z)) 1) (/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
34×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-r`
13×	`associate-l`
8×	`div-exp` `add-log-exp`
6×	`pow1` `prod-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `flip3-+` `fma-neg` `prod-diff` `flip-+` `div-inv` `associate-/l`
2×	`flip3--` `1-exp` `flip--` `associate-/l/`
1×	`frac-times` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 132

Calls

4 calls:

6.0ms	(+ x (* (* y 4.0) z))
16.0ms	(/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z)))
5.0ms	(- x (* (* y 4.0) z))
35.0ms	(* (/ (+ x (* (* y 4.0) z)) 1) (/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (* (* y 4.0) z))
63.0ms	(/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z)))
45.0ms	(- x (* (* y 4.0) z))
50.0ms	(* (/ (+ x (* (* y 4.0) z)) 1) (/ (- x (* (* y 4.0) z)) (+ x (* (* y 4.0) z))))

simplify837.0ms

Counts

144 → 144

Iterations

Iter	Nodes
done	2000
2	1992
1	547
0	183

prune708.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample848.0ms

Algorithm

intervals

Results

597.0ms

9159×

body

valid