Details

sample76.0ms

Algorithm

intervals

Results

41.0ms	126×	pre	10240	exit
15.0ms	256×	body	80	valid
6.0ms	130×	pre	80	true

simplify13.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

7.2b	(- (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))

rewrite86.0ms

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:

Slowest

74.0ms	(- (/ x0 (- 1 x1)) x0)
9.0ms	(/ x0 (- 1 x1))

series83.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

47.0ms	(- (/ x0 (- 1 x1)) x0)
35.0ms	(/ x0 (- 1 x1))

simplify1.0s

Counts: 164 → 164

prune864.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 2 expressions with local error:

6.1b	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.2b	(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite13.0ms

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:

Slowest

11.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series292.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

200.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
92.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))

simplify687.0ms

Counts: 103 → 103

prune861.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.6b

localize19.0ms

Local error

Found 2 expressions with local error:

6.0b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b	(/ (cbrt x0) (- 1 x1))

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:

Slowest

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

series205.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

123.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))
81.0ms	(/ (cbrt x0) (- 1 x1))

simplify729.0ms

Counts: 82 → 82

prune484.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.6b

localize30.0ms

Local error

Found 2 expressions with local error:

6.7b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
0.5b	(/ (cbrt x0) (- 1 (sqrt x1)))

rewrite16.0ms

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:

Slowest

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

series279.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

157.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
122.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))

simplify819.0ms

Counts: 103 → 103

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.6b

regimes86.0ms

Accuracy

48.1% (1.2b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 7.1b

bsearch36.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

862.0ms	4057×	pre	10240	exit
372.0ms	8000×	body	80	valid
130.0ms	3943×	pre	80	true