Details

sample330.0ms

Algorithm

intervals

Results

237.0ms	1668×	body	80	nan
35.0ms	256×	body	80	valid

simplify490.0ms

Calls

1 calls:

Slowest

489.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.5b	(+ (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)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
52×	`distribute-lft-out`
40×	`associate-+l+`
39×	`pow1`
34×	`log-pow`
31×	`add-sqr-sqrt`
27×	`distribute-lft-out--`
26×	`log-prod`
25×	`add-cube-cbrt`
24×	`add-log-exp`
21×	`prod-diff`
17×	`associate-l`
14×	`sum-log`
13×	`fma-def`
12×	`associate-+r+`
9×	`associate--l+`
7×	`associate-+l-`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `flip--`
4×	`log-div` `flip3-+` `associate-r` `frac-add` `flip-+`
3×	`expm1-log1p-u` `+-commutative` `insert-posit16` `log1p-expm1-u`
2×	`associate--l-` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

3 calls:

Slowest

229.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series478.0ms

Calls

3 calls:

Slowest

295.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
100.0ms	(+ (log (+ x y)) (log z))
82.0ms	(* (- a 0.5) (log t))

simplify18.1s

Calls

124 calls:

Slowest

603.0ms	(+ (* (- (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))))
546.0ms	(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 1.5 (log -1)))) (+ (* a (log (/ -1 t))) (+ (log (/ -1 z)) (+ t (log (/ -1 x))))))
517.0ms	(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))
512.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
509.0ms	(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
27×	`associate-+r+`
26×	`add-sqr-sqrt`
25×	`cbrt-prod` `*-un-lft-identity`
18×	`add-cube-cbrt`
14×	`pow1`
8×	`log-pow` `add-log-exp`
7×	`distribute-lft-out`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-+l+` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow1/3`
2×	`log-div` `flip3-+` `pow-prod-down` `associate-+l-` `flip-+`
1×	`+-commutative` `*-commutative`

Calls

4 calls:

Slowest

30.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Calls

4 calls:

Slowest

329.0ms	(cbrt z)
307.0ms	(cbrt z)
280.0ms	(cbrt z)
254.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify1.8s

Calls

66 calls:

Slowest

279.0ms	(- (+ (log (* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))) (log -1)) (log (/ -1 x)))
156.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
142.0ms	(- (log (pow (/ 1 z) -2/3)) (log (/ 1 x)))
117.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
116.0ms	(* (cbrt -1) (pow (* z -1) 1/3))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

4 calls:

Slowest

2.0ms	(cbrt z)
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Calls

4 calls:

Slowest

344.0ms	(cbrt z)
325.0ms	(cbrt z)
305.0ms	(cbrt z)
266.0ms	(cbrt z)

simplify781.0ms

Calls

24 calls:

Slowest

179.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
156.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
151.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
135.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
34.0ms	(pow (/ 1 z) -1/3)

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

4 calls:

Slowest

2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt z)
1.0ms	(cbrt z)

series990.0ms

Calls

4 calls:

Slowest

282.0ms	(cbrt z)
276.0ms	(cbrt z)
219.0ms	(cbrt (sqrt z))
213.0ms	(cbrt (sqrt z))

simplify535.0ms

Calls

30 calls:

Slowest

156.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
154.0ms	(* (cbrt -1) (pow (* z -1) 1/3))
37.0ms	(pow (/ 1 z) -1/6)
31.0ms	(pow (/ 1 z) -1/6)
23.0ms	(pow (/ 1 z) -1/3)

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample13.3s

Algorithm

intervals

Results

10.4s	56042×	body	80	nan
1.3s	8022×	body	80	valid