Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	243×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	2×	body	2560	valid
1.0ms	2×	body	160	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

19.0ms

(+ x (/ (fabs (- y x)) 2.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify1.8s

Counts

20 → 20

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	232	185
3	630	185
4	1852	185
done	5001	185

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.3b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
15×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `hypot-def` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `times-frac` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

12.0ms	(+ x (/ (fabs (- y x)) 2.0))
20.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
102.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (/ (fabs (- y x)) 2.0))
84.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
68.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.1s

Counts

133 → 133

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	2667
1	316	1920
2	1353	1765
done	5000	1724

prune409.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt x) (cbrt x))
298.0ms	(cbrt x)
291.0ms	(cbrt x)
267.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune379.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (fabs (- y x)) 2.0))
12.5b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
28.2b	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
57×	`times-frac`
50×	`add-cube-cbrt`
40×	`prod-diff`
20×	`difference-of-squares`
7×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `fma-neg` `flip--` `div-inv` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`

Counts

3 → 129

Calls

3 calls:

16.0ms	(- x (/ (fabs (- y x)) 2.0))
24.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
73.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- x (/ (fabs (- y x)) 2.0))
56.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
75.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify3.8s

Counts

138 → 138

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	257	5178
1	679	4747
2	3686	3835
done	5000	3820

prune387.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample777.0ms

Algorithm

intervals

Results

419.0ms	7692×	body	80	valid
24.0ms	120×	body	1280	valid
12.0ms	76×	body	640	valid
12.0ms	46×	body	2560	valid
5.0ms	41×	body	320	valid
2.0ms	25×	body	160	valid