Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

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)))

rewrite68.0ms

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:

9.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
14.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
63.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
89.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
94.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1366
1	373
0	153

prune505.0ms

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)

rewrite74.0ms

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:

10.0ms	(* 1.1283791670955126 (exp z))
20.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series321.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
95.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
83.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
113.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.0s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	2787
1	612
0	235

prune836.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

12.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
38.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
18.0ms	(* (/ 1.1283791670955126 y) (exp z))
24.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

series182.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
38.0ms	(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
32.0ms	(* (/ 1.1283791670955126 y) (exp z))
68.0ms	(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify2.1s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	2340
1	489
0	202

prune539.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:

18.0ms	(* (exp z) 1.1283791670955126)
6.0ms	(+ x (* 1 (/ y (- (* (exp z) 1.1283791670955126) (* y x)))))
11.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
18.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* y x)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (exp z) 1.1283791670955126)
52.0ms	(+ x (* 1 (/ y (- (* (exp z) 1.1283791670955126) (* y x)))))
82.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
110.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* y x)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1824
1	401
0	160

prune563.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

854.0ms

8001×

body

valid