Details

sample416.0ms

Algorithm

intervals

Results

239.0ms	1924×	body	80	nan
36.0ms	259×	body	80	valid

simplify2.9s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (log (+ y x)) (- t (log z)))
0.2b	(fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))
0.0b	(- t (log z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
48×	`prod-diff`
43×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
26×	`pow1`
23×	`log-pow`
20×	`distribute-lft-out--`
17×	`associate--r+`
7×	`log-prod` `fma-neg`
6×	`add-log-exp` `difference-of-squares`
4×	`diff-log` `associate--l+`
3×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`associate--l-` `log-div` `flip3--` `flip--`
1×	`flip3-+` `flip-+` `fma-udef` `distribute-lft-out` `associate--r-`

Counts

3 → 119

Calls

3 calls:

Slowest

24.0ms	(- (log (+ y x)) (- t (log z)))
6.0ms	(- t (log z))
0.0ms	(fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))

series352.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

153.0ms	(fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))
152.0ms	(- (log (+ y x)) (- t (log z)))
47.0ms	(- t (log z))

simplify1.5s

Counts: 128 → 128

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.4b	(* (cbrt z) (cbrt z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

Slowest

10.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

341.0ms	(* (cbrt z) (cbrt z))
305.0ms	(cbrt z)
303.0ms	(cbrt z)
295.0ms	(cbrt z)

simplify1.4s

Counts: 97 → 97

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y x))
0.5b	(cbrt (+ y x))
0.5b	(cbrt (+ y x))
0.5b	(* (cbrt (+ y x)) (cbrt (+ y x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `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 → 107

Calls

4 calls:

Slowest

27.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
6.0ms	(cbrt (+ y x))
4.0ms	(cbrt (+ y x))
3.0ms	(cbrt (+ y x))

series739.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

207.0ms	(cbrt (+ y x))
191.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
183.0ms	(cbrt (+ y x))
159.0ms	(cbrt (+ y x))

simplify2.1s

Counts: 119 → 119

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
0.5b	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
0.5b	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
0.5b	(* (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))) (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

Slowest

9.0ms	(* (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))) (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(* (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))) (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))))
993.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
980.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))
919.0ms	(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z)))))

simplify2.6s

Counts: 97 → 97

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes900.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch6.0ms

end0.0ms

sample14.6s

Algorithm

intervals

Results

10.1s	55575×	body	80	nan
1.4s	8032×	body	80	valid