Details

sample64.0ms

Algorithm

intervals

Results

31.0ms

334×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	1501
6	454
5	215
4	152
3	92
2	44
1	25
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
28.0ms	(* (* z 2.0) (- 1.0 t))
35.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series296.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
52.0ms	(* (* z 2.0) (- 1.0 t))
76.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
119.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
2	1744
1	449
0	150

prune537.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t)))
0.2b	(/ (/ 2.0 z) t)

rewrite912.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

263.0ms	(+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t))
626.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t)))
16.0ms	(/ (/ 2.0 z) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t))
59.0ms	(+ (/ x y) (+ (- (/ (/ 2.0 z) t) 2.0) (/ 2.0 t)))
25.0ms	(/ (/ 2.0 z) t)

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5016
2	2059
1	654
0	245

prune652.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (+ (- (/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z))) 2.0) (/ 2.0 t)))
0.2b	(/ t (/ (sqrt 2.0) z))
0.4b	(/ (sqrt 2.0) z)
0.5b	(/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z)))

rewrite12.2s

Algorithm

rewrite-expression-head

Rules

5774×	`times-frac`
2465×	`*-un-lft-identity`
2456×	`add-sqr-sqrt` `add-cube-cbrt`
1317×	`sqrt-prod`
171×	`div-inv`
96×	`associate-/r*`
41×	`add-exp-log`
32×	`add-cbrt-cube`
31×	`associate-/l*`
28×	`div-exp`
25×	`associate-/r/`
19×	`cbrt-undiv`
13×	`add-log-exp`
6×	`frac-add`
5×	`sum-log` `distribute-lft-out`
4×	`pow1`
3×	`clear-num` `frac-2neg` `1-exp`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-+r-` `flip3--` `diff-log` `associate-+l-` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 1849

Calls

4 calls:

11.8s	(+ (/ x y) (+ (- (/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z))) 2.0) (/ 2.0 t)))
20.0ms	(/ t (/ (sqrt 2.0) z))
8.0ms	(/ (sqrt 2.0) z)
84.0ms	(/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (/ x y) (+ (- (/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z))) 2.0) (/ 2.0 t)))
113.0ms	(/ t (/ (sqrt 2.0) z))
66.0ms	(/ (sqrt 2.0) z)
105.0ms	(/ (/ (sqrt 2.0) 1) (/ t (/ (sqrt 2.0) z)))

simplify2.4s

Counts

1861 → 1861

Iterations

Iter	Nodes
done	5000
0	2328

prune12.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z)))
0.0b	(- (+ (* 2.0 z) 2.0) (* 2.0 (* t z)))
11.2b	(/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

83.0ms	(+ (/ x y) (/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z)))
55.0ms	(- (+ (* 2.0 z) 2.0) (* 2.0 (* t z)))
115.0ms	(/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z))

series196.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ x y) (/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z)))
55.0ms	(- (+ (* 2.0 z) 2.0) (* 2.0 (* t z)))
86.0ms	(/ (- (+ (* 2.0 z) 2.0) (* 2.0 (* t z))) (* t z))

simplify1.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
2	1315
1	324
0	109

prune320.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes312.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10468×

body

valid