Details

sample71.0ms

Algorithm

intervals

Results

34.0ms	132×	pre	10240	exit
10.0ms	256×	body	80	valid
4.0ms	124×	pre	80	true

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.3b	(- (/ x0 (- 1.0 x1)) x0)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
76×	`times-frac`
69×	`add-cube-cbrt`
63×	`prod-diff`
21×	`fma-neg`
18×	`difference-of-squares`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`flip3--` `flip--`
5×	`associate-/r*` `div-inv`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp`

Counts

2 → 140

Calls

2 calls:

9.0ms	(/ x0 (- 1.0 x1))
57.0ms	(- (/ x0 (- 1.0 x1)) x0)

series117.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ x0 (- 1.0 x1))
57.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.7s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
3	4183
2	1167
1	450
0	190

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1.0 x1))
6.2b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt`
18×	`cbrt-prod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 67

Calls

2 calls:

14.0ms	(/ (cbrt x0) (- 1.0 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series253.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ (cbrt x0) (- 1.0 x1))
142.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3803
2	920
1	314
0	151

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.8b

localize34.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
6.4b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
72×	`sqrt-prod`
57×	`*-un-lft-identity`
54×	`times-frac`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

17.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series683.0ms

Counts

2 → 6

Calls

2 calls:

241.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
442.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
3	3032
2	1007
1	375
0	169

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
54×	`times-frac`
42×	`sqrt-prod`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

20.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series625.0ms

Counts

2 → 6

Calls

2 calls:

308.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
316.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1653
1	528
0	226

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

regimes176.0ms

Accuracy

41.4% (1.2b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 6.9b

bsearch35.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.018204597656249998

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	22

end0.0ms

sample1.4s

Algorithm

intervals

Results

676.0ms	3893×	pre	10240	exit
277.0ms	8000×	body	80	valid
114.0ms	4107×	pre	80	true