Details

sample26.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite86.0ms

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` `insert-posit16` `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 → 88

Calls

4 calls:

14.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
111.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify692.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2001
2	1135
1	377
0	157

prune437.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
34.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series263.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 1.1283791670955126 (exp z))
75.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
72.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
88.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify934.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2000
2	1736
1	601
0	239

prune654.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

139×	`times-frac`
134×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
97×	`add-cube-cbrt`
91×	`prod-diff`
23×	`div-inv`
15×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
7×	`pow1` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `associate-r` `associate-l` `associate-/r/`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 216

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(/ (* 1.1283791670955126 (exp z)) y)
32.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))
41.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(/ (* 1.1283791670955126 (exp z)) y)
67.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))
93.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

simplify833.0ms

Counts

228 → 228

Iterations

Iter	Nodes
done	2000
2	1715
1	835
0	361

prune730.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 1.1283791670955126) (exp z))
0.5b	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
1.6b	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
7.8b	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`associate-l`
11×	`pow1` `add-exp-log`
9×	`times-frac`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

4 → 98

Calls

4 calls:

17.0ms	(* (sqrt 1.1283791670955126) (exp z))
42.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
30.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
78.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sqrt 1.1283791670955126) (exp z))
70.0ms	(* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z)))
196.0ms	(- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y))
333.0ms	(/ y (- (* (sqrt 1.1283791670955126) (* (sqrt 1.1283791670955126) (exp z))) (* x y)))

simplify825.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	2000
2	1269
1	393
0	161

prune562.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

871.0ms

8000×

body

valid