Details

sample456.0ms

Algorithm

intervals

Results

271.0ms	109×	body	2560	valid
122.0ms	77×	body	1280	valid
23.0ms	31×	body	640	valid
11.0ms	22×	body	320	valid
10.0ms	256×	pre	80	true
5.0ms	15×	body	160	valid
0.0ms	2×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
3.8b	(- (/ 1 x) (/ 1 (tan x)))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
33×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 262

Calls

2 calls:

10.0ms	(/ 1 (tan x))
24.0ms	(- (/ 1 x) (/ 1 (tan x)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (tan x))
65.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify3.3s

Counts

268 → 268

Iterations

Iter	Nodes
3	2892
2	1334
1	757
0	342

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* x 1/45)) 1/3)
0.2b	(* x (* x 1/45))
0.2b	(* x 1/45)
0.3b	(* x (+ (* x (* x 1/45)) 1/3))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in`

Counts

4 → 82

Calls

4 calls:

26.0ms	(+ (* x (* x 1/45)) 1/3)
27.0ms	(* x (* x 1/45))
6.0ms	(* x 1/45)
53.0ms	(* x (+ (* x (* x 1/45)) 1/3))

series239.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* x (* x 1/45)) 1/3)
44.0ms	(* x (* x 1/45))
24.0ms	(* x 1/45)
108.0ms	(* x (+ (* x (* x 1/45)) 1/3))

simplify1.7s

Counts

94 → 94

Iterations

Iter	Nodes
3	3704
2	825
1	261
0	106

prune939.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.4b	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))
0.4b	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `pow-prod-down` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `fma-udef`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* x 1/45)
7.0ms	(* x 1/45)
12.0ms	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))
166.0ms	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))

series792.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* x 1/45)
26.0ms	(* x 1/45)
265.0ms	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))
473.0ms	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))

simplify3.5s

Counts

103 → 103

Iterations

Iter	Nodes
3	6068
2	1143
1	314
0	127

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 1/91125)
0.1b	(* (* x x) (* x x))
0.1b	(* -1/45 (* x x))
0.2b	(* (* -1/45 (* x x)) 1/3)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
22×	`pow-sqr`
20×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
13×	`pow2`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 134

Calls

4 calls:

24.0ms	(* (* x x) 1/91125)
30.0ms	(* (* x x) (* x x))
29.0ms	(* -1/45 (* x x))
58.0ms	(* (* -1/45 (* x x)) 1/3)

series160.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x x) 1/91125)
42.0ms	(* (* x x) (* x x))
36.0ms	(* -1/45 (* x x))
43.0ms	(* (* -1/45 (* x x)) 1/3)

simplify3.8s

Counts

146 → 146

Iterations

Iter	Nodes
3	3590
2	994
1	347
0	131

prune2.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	27
1	27
0	23

end0.0ms

sample17.3s

Algorithm

intervals

Results

10.4s	3250×	body	2560	valid
4.6s	2533×	body	1280	valid
1.1s	1249×	body	640	valid
431.0ms	631×	body	320	valid
395.0ms	8000×	pre	80	true
142.0ms	292×	body	160	valid
47.0ms	45×	body	80	valid