Details

sample409.0ms

Algorithm

intervals

Results

284.0ms	1949×	body	80	nan
37.0ms	257×	body	80	valid

simplify2.9s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.0b	(- (+ (log (+ x y)) (log z)) t)

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

Slowest

256.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(- (+ (log (+ x y)) (log z)) t)
18.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series785.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

319.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
265.0ms	(- (+ (log (+ x y)) (log z)) t)
101.0ms	(* (- a 0.5) (log t))
99.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts: 188 → 188

prune3.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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

10.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
7.0ms	(- (log z) t)
1.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series438.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

246.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
98.0ms	(- (log z) t)
94.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify1.5s

Counts: 84 → 84

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.1b	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.0b	(- t (* (- a 0.5) (log t)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`pow1`
27×	`prod-diff` `add-cube-cbrt`
26×	`log-pow`
25×	`distribute-lft-out`
19×	`log-prod`
14×	`add-log-exp`
11×	`associate--r+`
10×	`fma-neg`
7×	`diff-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
5×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
4×	`expm1-log1p-u` `log-div` `associate-+l+` `fma-def` `associate-r` `frac-sub` `associate-+l-` `insert-posit16` `log1p-expm1-u`
3×	`associate-+r+` `sum-log` `sub-neg`
2×	`associate--l-` `associate-*l/` `difference-of-squares`
1×	`+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

Slowest

109.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
35.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))
12.0ms	(- t (* (- a 0.5) (log t)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
136.0ms	(+ (log (+ x y)) (log z))
87.0ms	(* (- a 0.5) (log t))
63.0ms	(- t (* (- a 0.5) (log t)))

simplify1.0s

Counts: 167 → 167

prune2.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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

19.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series898.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(cbrt t)
271.0ms	(cbrt t)
236.0ms	(cbrt t)
106.0ms	(+ (log (+ x y)) (log z))

simplify3.4s

Counts: 85 → 85

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample15.0s

Algorithm

intervals

Results

9.6s	57039×	body	80	nan
1.5s	8027×	body	80	valid