Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	238×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	2560	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify60.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

7.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify1.4s

Counts: 15 → 15

prune37.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

40.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
399.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
410.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
455.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.2s

Counts: 99 → 99

prune290.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

463.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
425.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
406.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
354.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify771.0ms

Counts: 67 → 67

prune349.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 3.0 8.0) y))
0.3b	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
3.8b	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
27.6b	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
42×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
5×	`associate-*l/` `difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`flip3--` `flip3-+` `pow-plus` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `swap-sqr` `associate-r` `associate-l` `clear-num` `sum-log` `-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

10.0ms	(+ x (* (/ 3.0 8.0) y))
61.0ms	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
17.0ms	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
27.0ms	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (* (/ 3.0 8.0) y))
34.0ms	(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
51.0ms	(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
91.0ms	(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify1.1s

Counts: 119 → 119

prune314.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify46.0ms

end0.0ms

sample711.0ms

Algorithm

intervals

Results

354.0ms	7386×	body	80	valid
35.0ms	229×	body	1280	valid
18.0ms	103×	body	2560	valid
18.0ms	149×	body	640	valid
11.0ms	95×	body	320	valid
2.0ms	38×	body	160	valid