Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite96.0ms

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×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
19.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
49.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
84.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
124.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
3	3855
2	1134
1	372
0	153

prune671.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 61

Calls

1 calls:

24.0ms

(- x (/ 1 x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- x (/ 1 x))

simplify3.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	3776
3	1301
2	574
1	346
0	140

prune133.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.5b	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
2.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
159×	`*-un-lft-identity`
157×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv` `associate-/l*`
8×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`fma-def`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

4 → 254

Calls

4 calls:

68.0ms	(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
39.0ms	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
52.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

series404.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
107.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
110.0ms	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
126.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

simplify2.9s

Counts

266 → 266

Iterations

Iter	Nodes
done	5001
2	2929
1	1041
0	375

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes331.0ms

Accuracy

82.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample795.0ms

Algorithm

intervals

Results

560.0ms

8000×

body

valid