Details

sample48.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite107.0ms

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:

22.0ms	(* 1.1283791670955126 (exp z))
25.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
56.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 1.1283791670955126 (exp z))
120.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
153.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.1s

Counts

76 → 76

Iterations

Useful iterations: 2 (265.0ms)

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

prune589.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
6.0b	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

rewrite44.0ms

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:

23.0ms	(* 1.1283791670955126 (exp z))
18.0ms	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

series194.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* 1.1283791670955126 (exp z))
161.0ms	(/ y (fma y (- x) (* 1.1283791670955126 (exp z))))

simplify2.6s

Counts

55 → 55

Iterations

Useful iterations: done (2.6s)

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

prune522.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize42.0ms

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))
5.9b	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

rewrite67.0ms

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:

24.0ms	(* 1.1283791670955126 (exp z))
22.0ms	(/ 1 (/ (fma y (- x) (* 1.1283791670955126 (exp z))) y))
12.0ms	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

series319.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 1.1283791670955126 (exp z))
164.0ms	(/ 1 (/ (fma y (- x) (* 1.1283791670955126 (exp z))) y))
112.0ms	(/ (fma y (- x) (* 1.1283791670955126 (exp z))) y)

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: done (2.0s)

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

prune902.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

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))

rewrite158.0ms

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:

31.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
15.0ms	(/ (exp z) y)
67.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
38.0ms	(* 1.1283791670955126 (/ (exp z) y))

series310.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
37.0ms	(/ (exp z) y)
127.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
47.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.7s

Counts

128 → 128

Iterations

Useful iterations: done (1.7s)

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

prune820.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

8001×

body

valid