Details

sample385.0ms

Algorithm

intervals

Results

257.0ms	1635×	body	80	nan
40.0ms	258×	body	80	valid

simplify2.8s

Counts: 1 → 1

prune352.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

Slowest

185.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (log (+ x y)) (log z))

series436.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

269.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
101.0ms	(+ (log (+ x y)) (log z))
65.0ms	(* (- a 0.5) (log t))

simplify924.0ms

Counts: 132 → 132

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (log t) (- a 0.5) (- (log z) t))
0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0b	(- (log z) t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `associate--l+` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

Slowest

8.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
7.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series415.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

218.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
121.0ms	(- (log z) t)
76.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.5s

Counts: 84 → 84

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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

15.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(* (cbrt z) (cbrt z))
288.0ms	(cbrt z)
271.0ms	(cbrt z)
238.0ms	(cbrt z)

simplify1.4s

Counts: 97 → 97

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ y x)) (log z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

Slowest

17.0ms	(+ (log (+ y x)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series976.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

309.0ms	(cbrt t)
304.0ms	(cbrt t)
255.0ms	(cbrt t)
108.0ms	(+ (log (+ y x)) (log z))

simplify1.1s

Counts: 85 → 85

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes955.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch6.0ms

end0.0ms

sample13.5s

Algorithm

intervals

Results

8.4s	56100×	body	80	nan
1.7s	8028×	body	80	valid