Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify51.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 20

Calls

1 calls:

6.0ms

(- x (* (/ 3.0 8.0) y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	4008
3	1123
2	333
1	108
0	45

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `prod-diff` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

5.0ms	(- x (* (/ 3.0 8.0) y))
8.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
8.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
36.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* (/ 3.0 8.0) y))
109.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
101.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
32.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
3	2356
2	680
1	280
0	128

prune370.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
97×	`sqrt-pow1`
91×	`sqrt-prod`
75×	`pow1`
60×	`add-sqr-sqrt`
53×	`pow1/2`
43×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`swap-sqr`
16×	`associate-*l/`
15×	`associate-r`
13×	`pow-sqr`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
10×	`associate-l` `associate-*r/`
7×	`pow-plus`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 211

Calls

4 calls:

5.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
7.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
106.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
45.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

series825.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
344.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
45.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
113.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

simplify2.2s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
3	4116
2	1369
1	620
0	241

prune767.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
24.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
376.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
358.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
288.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
3	1796
2	652
1	264
0	123

prune673.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes251.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample606.0ms

Algorithm

intervals

Results

335.0ms	7379×	body	80	valid
33.0ms	230×	body	1280	valid
30.0ms	158×	body	640	valid
15.0ms	88×	body	2560	valid
8.0ms	95×	body	320	valid
3.0ms	50×	body	160	valid