Details

sample392.0ms

Algorithm

intervals

Results

278.0ms	1739×	body	80	nan
42.0ms	258×	body	80	valid

simplify491.0ms

Calls

1 calls:

Slowest

490.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 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)))
0.0b	(- (+ (log (+ x y)) (log z)) t)

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
73×	`distribute-lft-out`
60×	`pow1`
54×	`log-pow`
47×	`add-sqr-sqrt`
44×	`associate-+l+`
42×	`prod-diff`
39×	`add-cube-cbrt`
35×	`add-log-exp`
33×	`log-prod`
32×	`distribute-lft-out--`
18×	`sum-log` `associate--l+`
17×	`associate-l`
15×	`associate-+r+`
13×	`fma-def`
10×	`diff-log`
9×	`associate-+l-`
7×	`fma-neg`
6×	`distribute-rgt-in` `log-div` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `expm1-log1p-u` `+-commutative` `associate-r` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`sub-neg`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

4 calls:

Slowest

244.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(- (+ (log (+ x y)) (log z)) t)
34.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series757.0ms

Calls

4 calls:

Slowest

285.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
270.0ms	(- (+ (log (+ x y)) (log z)) t)
101.0ms	(+ (log (+ x y)) (log z))
100.0ms	(* (- a 0.5) (log t))

simplify21.7s

Calls

194 calls:

Slowest

854.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
589.0ms	(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
543.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
536.0ms	(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
507.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune3.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.5b	(* (cbrt z) (cbrt z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Calls

4 calls:

Slowest

306.0ms	(* (cbrt z) (cbrt z))
269.0ms	(cbrt z)
262.0ms	(cbrt z)
255.0ms	(cbrt z)

simplify1.1s

Calls

66 calls:

Slowest

150.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
130.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
130.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
111.0ms	(* (* (* (cbrt z) (cbrt z)) (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)))
99.0ms	(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Calls

4 calls:

Slowest

364.0ms	(cbrt t)
304.0ms	(cbrt t)
290.0ms	(cbrt t)
121.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Calls

40 calls:

Slowest

310.0ms	(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
162.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
132.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
112.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
83.0ms	(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.9b	(pow t 1/3)
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`add-log-exp`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `sum-log` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Calls

4 calls:

Slowest

18.0ms	(+ (log (+ x y)) (log z))
4.0ms	(pow t 1/3)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Calls

4 calls:

Slowest

326.0ms	(cbrt t)
280.0ms	(pow t 1/3)
280.0ms	(cbrt t)
123.0ms	(+ (log (+ x y)) (log z))

simplify1.7s

Calls

43 calls:

Slowest

599.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
263.0ms	(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
123.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
108.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
73.0ms	(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample13.8s

Algorithm

intervals

Results

10.2s	56806×	body	80	nan
1.9s	8033×	body	80	valid