Details

sample394.0ms

Algorithm

intervals

Results

200.0ms	94×	body	2560	valid
120.0ms	81×	body	1280	valid
32.0ms	40×	body	640	valid
14.0ms	30×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	11×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
3.9b	(- (/ 1 x) (/ 1 (tan x)))

rewrite42.0ms

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` `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 → 260

Calls

2 calls:

5.0ms	(/ 1 (tan x))
31.0ms	(- (/ 1 x) (/ 1 (tan x)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1 (tan x))
73.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify8.0s

Counts

266 → 266

Iterations

Iter	Nodes
3	2927
2	1341
1	755
0	340

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(+ 1/3 (* (* x 1/45) x))
19.0ms	(* (* x 1/45) x)
8.0ms	(* x 1/45)
10.0ms	(* x (+ 1/3 (* (* x 1/45) x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ 1/3 (* (* x 1/45) x))
30.0ms	(* (* x 1/45) x)
23.0ms	(* x 1/45)
113.0ms	(* x (+ 1/3 (* (* x 1/45) x)))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
3	3356
2	846
1	268
0	104

prune777.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/45)
0.3b	(* x 1/45)
0.3b	(* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27))
0.3b	(/ (* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x 1/45) x) (* (* x 1/45) x)) (* 1/3 (* (* x 1/45) x)))))

rewrite398.0ms

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` `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 → 87

Calls

4 calls:

5.0ms	(* x 1/45)
5.0ms	(* x 1/45)
5.0ms	(* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27))
381.0ms	(/ (* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x 1/45) x) (* (* x 1/45) x)) (* 1/3 (* (* x 1/45) x)))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x 1/45)
29.0ms	(* x 1/45)
403.0ms	(* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27))
432.0ms	(/ (* x (fma (* 1/91125 (* (* x x) x)) (* (* x x) x) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x 1/45) x) (* (* x 1/45) x)) (* 1/3 (* (* x 1/45) x)))))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
3	4931
2	1030
1	306
0	123

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 1/45) x)
0.2b	(* (* x 1/45) x)
0.3b	(* x 1/45)
0.3b	(* x 1/45)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* (* x 1/45) x)
18.0ms	(* (* x 1/45) x)
5.0ms	(* x 1/45)
5.0ms	(* x 1/45)

series108.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 1/45) x)
39.0ms	(* (* x 1/45) x)
16.0ms	(* x 1/45)
20.0ms	(* x 1/45)

simplify2.9s

Counts

92 → 92

Iterations

Iter	Nodes
5	3290
4	1985
3	863
2	320
1	122
0	54

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	20

end0.0ms

sample16.3s

Algorithm

intervals

Results

9.8s	3234×	body	2560	valid
4.5s	2485×	body	1280	valid
1.0s	1262×	body	640	valid
355.0ms	646×	body	320	valid
332.0ms	8000×	pre	80	true
121.0ms	320×	body	160	valid
9.0ms	53×	body	80	valid