Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

325×

body

valid

simplify988.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (52.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	89	16
4	163	16
5	257	15
6	420	15
7	1029	15
done	5000	15

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
7.1b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma z (- 1.0 t) 1)
0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms	(/ (fma z (- 1.0 t) 1) z)

series159.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(fma z (- 1.0 t) 1)
97.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
40.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify737.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	87	785
1	156	772
2	378	685
3	1312	684
done	5001	684

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

14.0ms	(* (* z 2.0) (- 1.0 t))
21.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series181.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (* z 2.0) (- 1.0 t))
54.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
73.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify870.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	194	1833
1	551	1594
2	2067	1306
done	5000	1306

prune277.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

112×	`times-frac`
103×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
41×	`associate-+l+`
39×	`prod-diff`
19×	`fma-def`
17×	`add-log-exp`
13×	`associate-/l*`
9×	`div-inv`
8×	`add-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u` `distribute-lft-out--`
2×	`+-commutative` `associate-+l-` `flip3--` `diff-log` `flip--` `difference-of-squares`
1×	`associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 175

Calls

3 calls:

78.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z))
178.0ms	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z)))
6.0ms	(/ (/ 2.0 t) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z))
60.0ms	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z)))
24.0ms	(/ (/ 2.0 t) z)

simplify1.1s

Counts

184 → 184

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	262	2714
1	677	2409
2	2557	2150
done	5001	2150

prune606.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))))
0.2b	(/ z (/ (sqrt 2.0) t))
0.4b	(/ (sqrt 2.0) t)
0.8b	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

5783×	`times-frac`
2472×	`*-un-lft-identity`
2463×	`add-sqr-sqrt` `add-cube-cbrt`
1317×	`sqrt-prod`
172×	`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×	`fma-def` `add-log-exp`
6×	`frac-add`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `1-exp` `clear-num`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l-` `associate-+r-` `associate-+r+` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 1870

Calls

4 calls:

2.1s	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))))
7.0ms	(/ z (/ (sqrt 2.0) t))
3.0ms	(/ (sqrt 2.0) t)
55.0ms	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))))
78.0ms	(/ z (/ (sqrt 2.0) t))
53.0ms	(/ (sqrt 2.0) t)
90.0ms	(/ (/ (sqrt 2.0) 1) (/ z (/ (sqrt 2.0) t)))

simplify757.0ms

Counts

1882 → 1882

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	2335	54552
done	5000	54552

prune7.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample693.0ms

Algorithm

intervals

Results

420.0ms

10485×

body

valid