Details

sample307.0ms

Algorithm

intervals

Results

177.0ms	93×	body	2560	valid
70.0ms	81×	body	1280	valid
21.0ms	44×	body	640	valid
7.0ms	25×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	13×	body	160	valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
4.1b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `tan-quot` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 52

Calls

2 calls:

23.0ms	(/ 1.0 (tan x))
76.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series405.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(/ 1.0 (tan x))
286.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify3.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	1835
2	630
1	244
0	117

prune635.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize58.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (* (pow x 5) 0.0021164021164021165))
0.1b	(* (pow x 5) 0.0021164021164021165)
0.1b	(* (* x x) 0.022222222222222223)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `prod-exp`
5×	`add-log-exp`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down` `insert-posit16`
2×	`associate-+l+` `*-commutative` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 60

Calls

3 calls:

19.0ms	(+ (* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (* (pow x 5) 0.0021164021164021165))
20.0ms	(* (pow x 5) 0.0021164021164021165)
48.0ms	(* (* x x) 0.022222222222222223)

series253.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* x (+ 0.3333333333333333 (* (* x x) 0.022222222222222223))) (* (pow x 5) 0.0021164021164021165))
92.0ms	(* (pow x 5) 0.0021164021164021165)
58.0ms	(* (* x x) 0.022222222222222223)

simplify3.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	982
1	307
0	116

prune606.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.3333333333333333 x) (+ (* (* (* x x) 0.022222222222222223) x) (* (pow x 5) 0.0021164021164021165)))
0.1b	(* (pow x 5) 0.0021164021164021165)
0.1b	(* (* x x) 0.022222222222222223)
0.1b	(* (* (* x x) 0.022222222222222223) x)

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

227.0ms	(+ (* 0.3333333333333333 x) (+ (* (* (* x x) 0.022222222222222223) x) (* (pow x 5) 0.0021164021164021165)))
28.0ms	(* (pow x 5) 0.0021164021164021165)
49.0ms	(* (* x x) 0.022222222222222223)
153.0ms	(* (* (* x x) 0.022222222222222223) x)

series298.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* 0.3333333333333333 x) (+ (* (* (* x x) 0.022222222222222223) x) (* (pow x 5) 0.0021164021164021165)))
72.0ms	(* (pow x 5) 0.0021164021164021165)
50.0ms	(* (* x x) 0.022222222222222223)
63.0ms	(* (* (* x x) 0.022222222222222223) x)

simplify3.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1254
1	368
0	136

prune771.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (log (exp (* (* x x) 0.022222222222222223))) x)
0.1b	(* (pow x 5) 0.0021164021164021165)
0.1b	(* (* x x) 0.022222222222222223)
3.6b	(log (exp (* (* x x) 0.022222222222222223)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`add-exp-log`
14×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`prod-exp`
6×	`log-pow` `add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`log-prod` `*-commutative`
2×	`exp-prod` `exp-to-pow` `sqr-pow`
1×	`pow-to-exp` `rem-log-exp` `pow-exp`

Counts

4 → 83

Calls

4 calls:

30.0ms	(* (log (exp (* (* x x) 0.022222222222222223))) x)
28.0ms	(* (pow x 5) 0.0021164021164021165)
24.0ms	(* (* x x) 0.022222222222222223)
5.0ms	(log (exp (* (* x x) 0.022222222222222223)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (log (exp (* (* x x) 0.022222222222222223))) x)
91.0ms	(* (pow x 5) 0.0021164021164021165)
42.0ms	(* (* x x) 0.022222222222222223)
47.0ms	(log (exp (* (* x x) 0.022222222222222223)))

simplify6.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5009
3	3435
2	821
1	274
0	123

prune741.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample13.4s

Algorithm

intervals

Results

8.3s	3245×	body	2560	valid
2.6s	2537×	body	1280	valid
792.0ms	1242×	body	640	valid
749.0ms	612×	body	320	valid
582.0ms	8000×	pre	80	true
72.0ms	313×	body	160	valid
6.0ms	51×	body	80	valid