Details

sample110.0ms

Algorithm

intervals

Results

68.0ms	145×	pre	10240	exit
18.0ms	256×	body	80	valid
6.0ms	111×	pre	80	true

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.5b	(- (/ x0 (- 1 x1)) x0)

rewrite76.0ms

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:

16.0ms	(/ x0 (- 1 x1))
53.0ms	(- (/ x0 (- 1 x1)) x0)

series90.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x0 (- 1 x1))
61.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.4s

Counts

164 → 164

Iterations

Iter	Nodes
3	2595
2	928
1	426
0	203

prune865.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize35.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1 x1))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

rewrite21.0ms

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:

18.0ms	(/ (cbrt x0) (- 1 x1))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

series216.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (cbrt x0) (- 1 x1))
122.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

simplify854.0ms

Counts

82 → 82

Iterations

Iter	Nodes
3	2719
2	773
1	296
0	156

prune643.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- 1 (sqrt x1)))
6.6b	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
51×	`sqrt-prod`
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/` `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:

19.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series357.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
251.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

simplify12.2s

Counts

103 → 103

Iterations

Iter	Nodes
4	5311
3	1943
2	683
1	314
0	163

prune574.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

localize23.0ms

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))

rewrite12.0ms

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:

10.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

series271.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
147.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

simplify952.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	3138
2	926
1	364
0	184

prune382.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

regimes93.0ms

Accuracy

37.3% (1.3b remaining)

Error of 6.2b against oracle of 4.9b and baseline of 7.0b

bsearch25.0ms

Steps

Iters	Range		Point
4	1.855	2.985	2.9451562499999997

simplify4.0ms

Iterations

Iter	Nodes
2	24
1	24
0	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

876.0ms	3999×	pre	10240	exit
358.0ms	8000×	body	80	valid
135.0ms	4001×	pre	80	true