Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	121×	pre	10240	exit
4.0ms	256×	body	80	valid
2.0ms	135×	pre	80	true

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite50.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

2 → 140

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
38.0ms	(- (/ x0 (- 1.0 x1)) x0)

series82.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x0 (- 1.0 x1))
47.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.7s

Counts

146 → 146

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	190	2805
1	399	2150
2	1005	1818
3	3297	1524
done	5001	1523

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cbrt x0) (- 1.0 x1))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite9.0ms

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×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 67

Calls

2 calls:

6.0ms	(/ (cbrt x0) (- 1.0 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series184.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (cbrt x0) (- 1.0 x1))
94.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	151	1049
1	309	968
2	900	878
3	3875	847
done	5000	846

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
6.6b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite16.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

12.0ms	(/ (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))

series488.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
326.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	169	1872
1	364	1737
2	884	1603
3	2424	1491
done	5000	1490

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.0b

localize12.0ms

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))

rewrite16.0ms

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×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

12.0ms	(/ (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))

series471.0ms

Counts

2 → 6

Calls

2 calls:

243.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
228.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify606.0ms

Counts

101 → 101

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	221	2097
1	515	1968
2	1691	1820
done	5000	1732

prune194.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.0b

regimes47.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	13	14
done	13	14

end0.0ms

sample695.0ms

Algorithm

intervals

Results

369.0ms	3996×	pre	10240	exit
131.0ms	8000×	body	80	valid
58.0ms	4004×	pre	80	true