Details

sample319.0ms

Algorithm

intervals

Results

193.0ms	104×	body	2560	valid
72.0ms	87×	body	1280	valid
23.0ms	31×	body	640	valid
8.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	10×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.0b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite87.0ms

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`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `tan-quot` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/ 1.0 (tan x))
77.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series253.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ 1.0 (tan x))
179.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	1770
2	617
1	242
0	115

prune232.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

63.0ms	(* x (+ (* (* x x) 0.022222222222222223) 0.3333333333333333))
15.0ms	(* 0.0021164021164021165 (pow x 5))
27.0ms	(* (* x x) 0.022222222222222223)

series206.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* x (+ (* (* x x) 0.022222222222222223) 0.3333333333333333))
64.0ms	(* 0.0021164021164021165 (pow x 5))
33.0ms	(* (* x x) 0.022222222222222223)

simplify3.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4937
2	1151
1	348
0	122

prune366.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) 0.022222222222222223)
0.1b	(* (* x x) 0.022222222222222223)
0.3b	(/ (* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333))) (- (* (* x x) 0.022222222222222223) 0.3333333333333333))
0.4b	(* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333)))

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `-commutative` `flip--` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

14.0ms	(* (* x x) 0.022222222222222223)
14.0ms	(* (* x x) 0.022222222222222223)
134.0ms	(/ (* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333))) (- (* (* x x) 0.022222222222222223) 0.3333333333333333))
349.0ms	(* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x x) 0.022222222222222223)
31.0ms	(* (* x x) 0.022222222222222223)
215.0ms	(/ (* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333))) (- (* (* x x) 0.022222222222222223) 0.3333333333333333))
166.0ms	(* x (- (* (* (* x x) 0.022222222222222223) (* (* x x) 0.022222222222222223)) (* 0.3333333333333333 0.3333333333333333)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1659
1	426
0	141

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x 0.022222222222222223))
0.1b	(* x (* x 0.022222222222222223))
0.1b	(* x (* x 0.022222222222222223))
0.3b	(/ x (/ (/ (- (* x (* x 0.022222222222222223)) 0.3333333333333333) (+ (* x (* x 0.022222222222222223)) 0.3333333333333333)) (- (* x (* x 0.022222222222222223)) 0.3333333333333333)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

441×	`times-frac`
207×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
51×	`associate-/r*`
33×	`associate-/r/`
28×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
17×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-r` `-commutative` `associate-/l`
1×	`clear-num` `frac-2neg`

Counts

4 → 278

Calls

4 calls:

19.0ms	(* x (* x 0.022222222222222223))
19.0ms	(* x (* x 0.022222222222222223))
16.0ms	(* x (* x 0.022222222222222223))
113.0ms	(/ x (/ (/ (- (* x (* x 0.022222222222222223)) 0.3333333333333333) (+ (* x (* x 0.022222222222222223)) 0.3333333333333333)) (- (* x (* x 0.022222222222222223)) 0.3333333333333333)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* x (* x 0.022222222222222223))
38.0ms	(* x (* x 0.022222222222222223))
35.0ms	(* x (* x 0.022222222222222223))
110.0ms	(/ x (/ (/ (- (* x (* x 0.022222222222222223)) 0.3333333333333333) (+ (* x (* x 0.022222222222222223)) 0.3333333333333333)) (- (* x (* x 0.022222222222222223)) 0.3333333333333333)))

simplify1.8s

Counts

290 → 290

Iterations

Iter	Nodes
done	5000
1	1593
0	545

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample13.1s

Algorithm

intervals

Results

8.5s	3278×	body	2560	valid
3.1s	2460×	body	1280	valid
740.0ms	1261×	body	640	valid
279.0ms	652×	body	320	valid
158.0ms	8000×	pre	80	true
68.0ms	313×	body	160	valid
4.0ms	36×	body	80	valid