Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify15.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

18.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	153	1249
1	355	1179
2	919	1105
3	2414	1102
done	5000	1100

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

29.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series247.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
59.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
80.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.5s

Counts

156 → 156

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	235	2917
1	574	2643
2	1373	2366
3	3849	2258
done	5001	2256

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

309×	`times-frac`
254×	`add-sqr-sqrt`
222×	`*-un-lft-identity`
209×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
19×	`div-inv`
15×	`difference-of-squares`
10×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/r/` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `flip3-+` `diff-log` `1-exp` `sum-log` `flip-+` `inv-pow`

Counts

4 → 292

Calls

4 calls:

3.0ms	(/ y (exp z))
53.0ms	(- (/ 1.1283791670955126 (/ y (exp z))) x)
78.0ms	(+ x (/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x)))
49.0ms	(/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x))

series214.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ y (exp z))
53.0ms	(- (/ 1.1283791670955126 (/ y (exp z))) x)
41.0ms	(+ x (/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x)))
88.0ms	(/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x))

simplify1.0s

Counts

304 → 304

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	423	6651
1	878	5175
2	2256	4602
done	5000	4464

prune673.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y))
0.3b	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
0.8b	(fma 1.1283791670955126 (exp z) (- (* y x)))
6.0b	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 96

Calls

4 calls:

3.0ms	(+ x (* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y))
2.0ms	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
0.0ms	(fma 1.1283791670955126 (exp z) (- (* y x)))
9.0ms	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y)

series280.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y))
71.0ms	(/ 1 (fma 1.1283791670955126 (exp z) (- (* y x))))
63.0ms	(fma 1.1283791670955126 (exp z) (- (* y x)))
87.0ms	(* (/ 1 (fma 1.1283791670955126 (exp z) (- (* y x)))) y)

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1676
1	364	1466
2	906	1330
3	2689	1325
done	5000	1324

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

82.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch103.0ms

Steps

Iters	Range		Point
7	6.203365364386331e-90	1.0193478545731616e-88	1.0094249434383811e-88
9	-511708.7274343749	-0.04390830018224924	-744.9862889647827

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	50
1	34	36
done	34	36

end0.0ms

sample431.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid