Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6
done	28	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify147.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	312	564
1	1073	525
2	4469	521
3	5001	518
done	5001	518

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
0.0b	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
0.1b	(fma (/ (exp z) y) 1.1283791670955126 (- x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `pow-flip` `flip3-+` `1-exp` `sum-log` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 90

Calls

4 calls:

7.0ms	(/ (exp z) y)
13.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
5.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
0.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))

series182.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (exp z) y)
44.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
73.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
48.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))

simplify150.0ms

Counts

102 → 102

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	334	669
1	1077	602
2	4893	599
3	5001	598
done	5001	598

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
3.6b	(/ y (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.2b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.2b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
6×	`pow1` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `div-exp` `associate-l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 81

Calls

4 calls:

12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
40.0ms	(/ y (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
16.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ y (* (sqrt (- (* 1.1283791670955126 (exp z)) (* x y))) (sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
102.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
102.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify85.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	355	934
1	1036	817
2	3389	791
3	5002	786
done	5002	786

prune272.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6
done	14	6

end0.0ms

sample453.0ms

Algorithm

intervals

Results

234.0ms

8000×

body

valid