Details

sample76.0ms

Algorithm

intervals

Results

41.0ms	125×	pre	10240	exit
15.0ms	256×	body	80	valid
6.0ms	131×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1 x1))
7.6b	(- (/ x0 (- 1 x1)) x0)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
91×	`times-frac`
77×	`add-cube-cbrt`
72×	`prod-diff`
34×	`difference-of-squares`
24×	`fma-neg`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`associate-/r*` `flip3--` `flip--`
5×	`div-inv`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp`

Counts

2 → 158

Calls

2 calls:

8.0ms	(/ x0 (- 1 x1))
49.0ms	(- (/ x0 (- 1 x1)) x0)

series73.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x0 (- 1 x1))
43.0ms	(- (/ x0 (- 1 x1)) x0)

simplify847.0ms

Counts

164 → 164

Iterations

Iter	Nodes
done	2000
3	2000
2	1044
1	458
0	203

prune260.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cbrt x0) (- 1 x1))
6.5b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`times-frac`
23×	`add-cube-cbrt`
21×	`cbrt-prod`
14×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`associate-/r` `associate-/l`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 76

Calls

2 calls:

9.0ms	(/ (cbrt x0) (- 1 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

series198.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (cbrt x0) (- 1 x1))
96.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

simplify949.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	783
1	301
0	156

prune356.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.2b

localize38.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- 1 (sqrt x1)))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
21×	`sqrt-prod`
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/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 97

Calls

2 calls:

20.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

series385.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
208.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

simplify872.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2015
3	2015
2	883
1	368
0	184

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

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

series710.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)))
164.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
156.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
143.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

simplify909.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2000
4	2000
3	1133
2	344
1	151
0	71

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.2b

regimes98.0ms

Accuracy

0% (2.0b remaining)

Error of 7.0b against oracle of 4.9b and baseline of 7.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	3952×	pre	10240	exit
438.0ms	8000×	body	80	valid
148.0ms	4048×	pre	80	true