Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

12.0ms	(* 1.1283791670955126 (exp z))
21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* 1.1283791670955126 (exp z))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify726.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	129	955
1	307	918
2	1060	850
done	5000	850

prune286.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
5.5b	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

12.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

series117.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* 1.1283791670955126 (exp z))
91.0ms	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

simplify1.8s

Counts

55 → 55

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	108	687
1	226	669
2	752	616
3	3534	611
done	5002	609

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (fma y (- x) (* 1.1283791670955126 (exp z))) y))
5.5b	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
12×	`add-cbrt-cube`
8×	`div-exp`
6×	`pow1` `div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 127

Calls

3 calls:

12.0ms	(* 1.1283791670955126 (exp z))
16.0ms	(/ 1 (/ (fma y (- x) (* 1.1283791670955126 (exp z))) y))
8.0ms	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

series181.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1.1283791670955126 (exp z))
93.0ms	(/ 1 (/ (fma y (- x) (* 1.1283791670955126 (exp z))) y))
68.0ms	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

simplify1.4s

Counts

136 → 136

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	215	2445
1	513	2220
2	2148	2104
done	5001	1983

prune352.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 116

Calls

4 calls:

27.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
12.0ms	(/ (exp z) y)
41.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
32.0ms	(* 1.1283791670955126 (/ (exp z) y))

series213.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
21.0ms	(/ (exp z) y)
89.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
36.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	201	1496
1	471	1375
2	1777	1270
done	5000	1255

prune371.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

871.0ms

8000×

body

valid