Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune67.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

27.0ms	(* 1.1283791670955126 (exp z))
27.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
60.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series651.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* 1.1283791670955126 (exp z))
161.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
428.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify6.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	2565
2	834
1	281
0	119

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
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×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

23.0ms	(* 1.1283791670955126 (exp z))
42.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
25.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series456.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 1.1283791670955126 (exp z))
113.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
169.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
139.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify5.3s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1578
1	573
0	223

prune2.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
6×	`pow1`
4×	`div-exp` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `pow-prod-down` `*-commutative` `flip--` `inv-pow` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

57.0ms	(/ (* 1.1283791670955126 (exp z)) y)
28.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series315.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* 1.1283791670955126 (exp z)) y)
114.0ms	(* 1.1283791670955126 (exp z))
159.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify6.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
3	3327
2	946
1	355
0	158

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.1283791670955126 (* z 0.5641895835477563))
0.0b	(+ x (/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126)))
0.1b	(* z (+ 1.1283791670955126 (* z 0.5641895835477563)))
3.7b	(/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

11.0ms	(+ 1.1283791670955126 (* z 0.5641895835477563))
63.0ms	(+ x (/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126)))
31.0ms	(* z (+ 1.1283791670955126 (* z 0.5641895835477563)))
42.0ms	(/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126))

series598.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ 1.1283791670955126 (* z 0.5641895835477563))
167.0ms	(+ x (/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126)))
153.0ms	(* z (+ 1.1283791670955126 (* z 0.5641895835477563)))
209.0ms	(/ y (+ (* z (+ 1.1283791670955126 (* z 0.5641895835477563))) 1.1283791670955126))

simplify8.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1496
1	417
0	157

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes923.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify202.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

8000×

body

valid