Details

sample65.0ms

Algorithm

intervals

Results

27.0ms	128×	pre	10240	exit
11.0ms	256×	body	80	valid
4.0ms	128×	pre	80	true

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite91.0ms

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:

9.0ms	(/ x0 (- 1.0 x1))
80.0ms	(- (/ x0 (- 1.0 x1)) x0)

series107.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x0 (- 1.0 x1))
60.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.3s

Counts

58 → 58

Iterations

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

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 7.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x0 (/ 1 (- 1.0 x1)))
7.5b	(- (* x0 (/ 1 (- 1.0 x1))) x0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`associate-r`
19×	`*-un-lft-identity`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`flip3--` `div-exp` `associate-/r/` `cbrt-unprod` `flip--`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 56

Calls

2 calls:

29.0ms	(* x0 (/ 1 (- 1.0 x1)))
11.0ms	(- (* x0 (/ 1 (- 1.0 x1))) x0)

series92.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x0 (/ 1 (- 1.0 x1)))
49.0ms	(- (* x0 (/ 1 (- 1.0 x1))) x0)

simplify569.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1378
1	357
0	137

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
6.0b	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
33×	`times-frac`
24×	`add-cube-cbrt`
11×	`difference-of-squares`
10×	`associate-/r*`
9×	`distribute-lft-out--`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

46.0ms	(+ (/ x0 (- 1.0 x1)) x0)
9.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
126.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

series213.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (/ x0 (- 1.0 x1)) x0)
37.0ms	(/ x0 (- 1.0 x1))
43.0ms	(/ x0 (- 1.0 x1))
91.0ms	(- (/ (/ x0 (- 1.0 x1)) (- 1.0 x1)) x0)

simplify607.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1204
1	360
0	150

prune378.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.7b	(/ x0 (- 1.0 x1))
3.7b	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
33×	`unpow-prod-down` `cube-prod`
29×	`times-frac`
28×	`difference-of-squares`
19×	`add-cube-cbrt`
18×	`associate-/r/`
14×	`flip3--` `flip--`
12×	`add-cbrt-cube` `add-exp-log`
11×	`sqr-pow`
9×	`distribute-lft-out--`
8×	`frac-times` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`associate-l/` `associate-r/`
3×	`cbrt-undiv` `pow-unpow` `div-exp` `pow-exp` `div-inv` `associate-/l*` `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` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

27.0ms	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
46.0ms	(+ (/ x0 (- 1.0 x1)) x0)
9.0ms	(/ x0 (- 1.0 x1))
140.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series345.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
59.0ms	(+ (/ x0 (- 1.0 x1)) x0)
49.0ms	(/ x0 (- 1.0 x1))
133.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify1.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	4170
1	863
0	271

prune595.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.6b

regimes113.0ms

Accuracy

0% (1.0b remaining)

Error of 4.5b against oracle of 3.5b and baseline of 4.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

519.0ms	4004×	pre	10240	exit
220.0ms	8000×	body	80	valid
92.0ms	3996×	pre	80	true