Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite95.0ms

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:

11.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
67.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
64.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
123.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.0s

Counts

96 → 96

Iterations

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

prune569.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite67.0ms

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` `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 → 146

Calls

4 calls:

9.0ms	(* 1.1283791670955126 (exp z))
17.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
28.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series283.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
74.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
75.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
113.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.8s

Counts

158 → 158

Iterations

Iter	Nodes
done	5002
2	1705
1	599
0	235

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

47.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
9.0ms	(* 1.1283791670955126 (exp z))
34.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
43.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
22.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
86.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify2.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	4247
2	1235
1	486
0	212

prune745.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp z) 1.1283791670955126)
0.0b	(+ x (* 1 (/ y (- (* (exp z) 1.1283791670955126) (* x y)))))
1.2b	(- (* (exp z) 1.1283791670955126) (* x y))
8.4b	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-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:

11.0ms	(* (exp z) 1.1283791670955126)
5.0ms	(+ x (* 1 (/ y (- (* (exp z) 1.1283791670955126) (* x y)))))
10.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
16.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (exp z) 1.1283791670955126)
52.0ms	(+ x (* 1 (/ y (- (* (exp z) 1.1283791670955126) (* x y)))))
100.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
140.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

simplify2.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4327
2	1151
1	399
0	159

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample918.0ms

Algorithm

intervals

Results

650.0ms

8001×

body

valid