Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	125×	pre	10240	exit
10.0ms	256×	body	80	valid
3.0ms	131×	pre	80	true

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.1b	(- (/ x0 (- 1.0 x1)) x0)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

16.0ms	(/ x0 (- 1.0 x1))
84.0ms	(- (/ x0 (- 1.0 x1)) x0)

series97.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x0 (- 1.0 x1))
54.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.7s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	3811
2	873
1	264
0	117

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 6.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
5.2b	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
53×	`times-frac`
39×	`unpow-prod-down` `cube-prod`
34×	`difference-of-squares`
33×	`add-cube-cbrt`
15×	`distribute-lft-out--`
11×	`sqr-pow`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`associate-/r/`
5×	`pow1` `associate-/r*`
4×	`flip3--` `flip--`
3×	`pow-unpow` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `difference-cubes` `+-commutative` `clear-num` `sum-log` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `unpow3` `flip-+` `distribute-lft-out`

Counts

4 → 153

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
46.0ms	(+ (/ x0 (- 1.0 x1)) x0)
23.0ms	(pow (/ x0 (- 1.0 x1)) 3)
203.0ms	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

series309.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ x0 (- 1.0 x1))
52.0ms	(+ (/ x0 (- 1.0 x1)) x0)
93.0ms	(pow (/ x0 (- 1.0 x1)) 3)
107.0ms	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

simplify1.9s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	4028
1	846
0	241

prune623.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
1.0b	(pow (- 1.0 x1) 3)
5.2b	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-log-exp`
7×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*` `unpow-prod-down` `cube-prod`
3×	`pow-unpow` `flip3--` `flip--` `associate-/l*`
2×	`cube-div` `associate-/r/`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `unpow3` `div-exp` `pow-exp` `flip-+` `div-inv` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
34.0ms	(+ (/ x0 (- 1.0 x1)) x0)
7.0ms	(pow (- 1.0 x1) 3)
21.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

series225.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x0 (- 1.0 x1))
41.0ms	(+ (/ x0 (- 1.0 x1)) x0)
30.0ms	(pow (- 1.0 x1) 3)
110.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	2675
1	540
0	186

prune433.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (- 1.0 x1) 3)
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
5.2b	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))
7.1b	(- x0 (/ x0 (- 1.0 x1)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
31×	`times-frac`
26×	`unpow-prod-down` `cube-prod` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`distribute-lft-out--`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `pow-unpow`
5×	`flip3--` `flip--`
4×	`associate-/r/`
3×	`cube-div` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `diff-log` `unpow3` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 118

Calls

4 calls:

7.0ms	(pow (- 1.0 x1) 3)
17.0ms	(pow (/ x0 (- 1.0 x1)) 3)
24.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))
28.0ms	(- x0 (/ x0 (- 1.0 x1)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (- 1.0 x1) 3)
77.0ms	(pow (/ x0 (- 1.0 x1)) 3)
104.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))
55.0ms	(- x0 (/ x0 (- 1.0 x1)))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	4550
1	854
0	229

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 5.1b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.3b and baseline of 5.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample970.0ms

Algorithm

intervals

Results

514.0ms	3951×	pre	10240	exit
168.0ms	8000×	body	80	valid
87.0ms	4049×	pre	80	true