Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4
done	988	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

92.0ms

(/ (- (+ x y) z) (* t 2.0))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify71.0ms

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178
done	5002	178

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite665.0ms

Algorithm

rewrite-expression-head

Rules

664×	`*-un-lft-identity`
491×	`times-frac`
320×	`add-sqr-sqrt`
312×	`prod-diff`
308×	`add-cube-cbrt`
172×	`distribute-lft-out`
107×	`distribute-rgt-in` `distribute-lft-in` `div-inv`
41×	`distribute-rgt-out`
13×	`fma-def`
10×	`associate-r` `distribute-lft-out--` `add-log-exp`
8×	`fma-neg`
6×	`frac-sub`
5×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `flip3-+` `associate-l` `frac-add` `associate--l+` `flip-+` `log1p-expm1-u`
2×	`flip3--` `diff-log` `sum-log` `flip--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 416

Calls

3 calls:

386.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
208.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
25.0ms	(+ (/ y t) (/ x t))

series76.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
23.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
18.0ms	(+ (/ y t) (/ x t))

simplify128.0ms

Counts

425 → 425

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	941	9391
1	3767	7017
2	5001	6305
done	5001	6305

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
0.0b	(- (fma y (/ 1 t) (/ x t)) (/ z t))
0.1b	(fma y (/ 1 t) (/ x t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt`
117×	`prod-diff`
112×	`*-un-lft-identity`
108×	`add-cube-cbrt`
83×	`times-frac`
42×	`distribute-rgt-in` `distribute-lft-in`
9×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`fma-udef` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-l` `associate--l+` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 179

Calls

3 calls:

47.0ms	(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
12.0ms	(- (fma y (/ 1 t) (/ x t)) (/ z t))
0.0ms	(fma y (/ 1 t) (/ x t))

series111.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
33.0ms	(- (fma y (/ 1 t) (/ x t)) (/ z t))
28.0ms	(fma y (/ 1 t) (/ x t))

simplify71.0ms

Counts

188 → 188

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	595	4003
1	2315	2948
2	5001	2580
done	5001	2580

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (- (/ (fma y t (* t x)) (* t t)) (/ z t)))
0.0b	(- (/ (fma y t (* t x)) (* t t)) (/ z t))
0.5b	(fma y t (* t x))
23.7b	(/ (fma y t (* t x)) (* t t))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

320×	`times-frac`
273×	`prod-diff`
257×	`add-sqr-sqrt`
239×	`*-un-lft-identity`
235×	`add-cube-cbrt`
93×	`distribute-rgt-in` `distribute-lft-in`
62×	`div-inv`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r` `difference-of-squares`
7×	`fma-neg`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `associate-r/` `associate-l` `associate-/l`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 365

Calls

4 calls:

98.0ms	(* 0.5 (- (/ (fma y t (* t x)) (* t t)) (/ z t)))
37.0ms	(- (/ (fma y t (* t x)) (* t t)) (/ z t))
0.0ms	(fma y t (* t x))
7.0ms	(/ (fma y t (* t x)) (* t t))

series162.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 0.5 (- (/ (fma y t (* t x)) (* t t)) (/ z t)))
36.0ms	(- (/ (fma y t (* t x)) (* t t)) (/ z t))
39.0ms	(fma y t (* t x))
36.0ms	(/ (fma y t (* t x)) (* t t))

simplify131.0ms

Counts

377 → 377

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	921	8994
1	3586	6840
2	5001	6215
done	5001	6215

prune362.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4
done	11	4

end0.0ms

sample630.0ms

Algorithm

intervals

Results

277.0ms

10855×

body

valid