Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

335×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.6s)

Iter	Nodes	Cost
0	12	13
1	22	13
2	46	13
3	110	13
4	254	13
5	449	13
6	888	13
7	3544	11
done	5000	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- x z) y) 0.75)
0.0b	(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)
0.0b	(/ (- x z) y)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+l+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+l-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

76.0ms	(+ (/ (- x z) y) 0.75)
74.0ms	(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)
39.0ms	(/ (- x z) y)

series123.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (/ (- x z) y) 0.75)
50.0ms	(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)
45.0ms	(/ (- x z) y)

simplify917.0ms

Counts

73 → 73

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	129	854
1	333	817
2	1189	771
done	5001	741

prune451.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (- x z) y) 4.0)
0.0b	(+ (* (/ (- x z) y) 4.0) (+ (* 4.0 0.75) 1.0))
0.0b	(/ (- x z) y)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r` `sum-log`
2×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `flip3--` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `flip--`

Counts

3 → 91

Calls

3 calls:

52.0ms	(* (/ (- x z) y) 4.0)
48.0ms	(+ (* (/ (- x z) y) 4.0) (+ (* 4.0 0.75) 1.0))
33.0ms	(/ (- x z) y)

series187.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (/ (- x z) y) 4.0)
54.0ms	(+ (* (/ (- x z) y) 4.0) (+ (* 4.0 0.75) 1.0))
49.0ms	(/ (- x z) y)

simplify1.7s

Counts

100 → 100

Iterations

Useful iterations: 2 (519.0ms)

Iter	Nodes	Cost
0	164	1218
1	468	1153
2	2089	1037
done	5001	1037

prune572.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (/ x y) (/ z y)) 4.0)
0.0b	(+ (* (- (/ x y) (/ z y)) 4.0) (+ (* 4.0 0.75) 1.0))
0.0b	(- (/ x y) (/ z y))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-l` `associate-*l/`
10×	`add-log-exp`
9×	`add-cube-cbrt`
8×	`frac-add` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
4×	`flip3--` `frac-sub` `flip--` `div-inv` `sub-div`
3×	`associate-r` `sum-log`
2×	`distribute-rgt-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

199.0ms	(* (- (/ x y) (/ z y)) 4.0)
121.0ms	(+ (* (- (/ x y) (/ z y)) 4.0) (+ (* 4.0 0.75) 1.0))
59.0ms	(- (/ x y) (/ z y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (- (/ x y) (/ z y)) 4.0)
56.0ms	(+ (* (- (/ x y) (/ z y)) 4.0) (+ (* 4.0 0.75) 1.0))
50.0ms	(- (/ x y) (/ z y))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 2 (457.0ms)

Iter	Nodes	Cost
0	164	1575
1	495	1502
2	2075	1398
done	5001	1398

prune633.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1 (/ y (- x z))) 4.0)
0.0b	(+ (* (/ 1 (/ y (- x z))) 4.0) (+ (* 4.0 0.75) 1.0))
0.0b	(/ y (- x z))
0.3b	(/ 1 (/ y (- x z)))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-l`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `associate-*l/` `sum-log` `cbrt-unprod`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `flip-+`
1×	`+-commutative` `associate-+r+` `pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 256

Calls

4 calls:

121.0ms	(* (/ 1 (/ y (- x z))) 4.0)
86.0ms	(+ (* (/ 1 (/ y (- x z))) 4.0) (+ (* 4.0 0.75) 1.0))
23.0ms	(/ y (- x z))
36.0ms	(/ 1 (/ y (- x z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (/ 1 (/ y (- x z))) 4.0)
51.0ms	(+ (* (/ 1 (/ y (- x z))) 4.0) (+ (* 4.0 0.75) 1.0))
61.0ms	(/ y (- x z))
77.0ms	(/ 1 (/ y (- x z)))

simplify959.0ms

Counts

268 → 268

Iterations

Useful iterations: done (945.0ms)

Iter	Nodes	Cost
0	343	3739
1	1014	3268
done	5000	2908

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s

10063×

body

valid