Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 53

Calls

3 calls:

17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
44.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
63.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
127.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify627.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1081
1	296
0	118

prune460.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`times-frac`
18×	`add-cube-cbrt`
15×	`difference-of-squares`
12×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-/r*`
8×	`add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `associate-/r/` `div-inv`
2×	`clear-num` `frac-2neg` `flip3--` `frac-sub` `flip--` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `sum-log` `sub-neg` `flip3-+` `diff-log` `1-exp` `prod-exp` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 101

Calls

4 calls:

12.0ms	(/ (* (exp z) 1.1283791670955126) y)
80.0ms	(+ x (/ 1 (- (/ (* (exp z) 1.1283791670955126) y) (/ x 1))))
29.0ms	(- (/ (* (exp z) 1.1283791670955126) y) (/ x 1))
66.0ms	(/ 1 (- (/ (* (exp z) 1.1283791670955126) y) (/ x 1)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* (exp z) 1.1283791670955126) y)
59.0ms	(+ x (/ 1 (- (/ (* (exp z) 1.1283791670955126) y) (/ x 1))))
85.0ms	(- (/ (* (exp z) 1.1283791670955126) y) (/ x 1))
111.0ms	(/ 1 (- (/ (* (exp z) 1.1283791670955126) y) (/ x 1)))

simplify1.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	2372
1	468
0	196

prune562.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
22×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac` `add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
10×	`pow1`
8×	`add-log-exp`
6×	`div-exp` `cbrt-unprod`
4×	`associate-/r/` `frac-sub`
3×	`cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `div-inv` `associate-/l*`
2×	`flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 100

Calls

4 calls:

145.0ms	(+ x (/ 1 (- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1))))
61.0ms	(- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1))
94.0ms	(/ 1 (- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1)))
43.0ms	(* (* (exp z) 1.1283791670955126) (/ 1 y))

series354.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ x (/ 1 (- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1))))
103.0ms	(- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1))
118.0ms	(/ 1 (- (* (* (exp z) 1.1283791670955126) (/ 1 y)) (/ x 1)))
37.0ms	(* (* (exp z) 1.1283791670955126) (/ 1 y))

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2815
1	540
0	193

prune562.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* y x))
0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y))
7.3b	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`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`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `div-sub` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

13.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
35.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)))
32.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y))
48.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)

series423.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* 1.1283791670955126 (exp z)) (* y x))
74.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)))
119.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* y x)) y))
135.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) y)

simplify2.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	3254
1	620
0	229

prune688.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes429.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
2	19
1	18
0	13

end0.0ms

sample847.0ms

Algorithm

intervals

Results

596.0ms

8000×

body

valid