Details

sample341.0ms

Algorithm

intervals

Results

214.0ms	1744×	body	80	nan
31.0ms	258×	body	80	valid

simplify368.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

368.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (log (+ x y)) (log z))
0.2b	(* (- 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)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

Slowest

122.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
34.0ms	(- (+ (log (+ x y)) (log z)) t)
16.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (log (+ x y)) (log z))

series588.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

257.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
192.0ms	(- (+ (log (+ x y)) (log z)) t)
78.0ms	(+ (log (+ x y)) (log z))
60.0ms	(* (- a 0.5) (log t))

simplify7.0s

Counts

79 → 118

Calls

79 calls:

Slowest

501.0ms	(+ (* (- (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))))
493.0ms	(+ (* (- (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))))
473.0ms	(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
360.0ms	(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
327.0ms	(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

Slowest

8.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series828.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

255.0ms	(cbrt t)
240.0ms	(cbrt t)
236.0ms	(cbrt t)
96.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts

35 → 73

Calls

35 calls:

Slowest

260.0ms	(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
158.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
139.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
131.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
84.0ms	(log (- (* x x) (* y y)))

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

5.0b	(pow t 1/3)
0.7b	(+ (log (+ x y)) (log z))
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×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

Slowest

8.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

632.0ms	(cbrt t)
282.0ms	(pow t 1/3)
260.0ms	(cbrt t)
101.0ms	(+ (log (+ x y)) (log z))

simplify1.5s

Counts

38 → 80

Calls

38 calls:

Slowest

545.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
197.0ms	(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
126.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
105.0ms	(* (pow (* t -1) 1/3) (cbrt -1))
95.0ms	(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

5.0b	(pow t 1/3)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod` `*-un-lft-identity`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`pow1` `cbrt-div`
9×	`swap-sqr`
8×	`pow1/3`
7×	`associate-r` `associate-l` `add-exp-log`
6×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

Slowest

26.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(pow t 1/3)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

313.0ms	(pow t 1/3)
299.0ms	(cbrt t)
287.0ms	(cbrt t)
247.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify3.8s

Counts

88 → 109

Calls

88 calls:

Slowest

636.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
397.0ms	(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
347.0ms	(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))
289.0ms	(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))
205.0ms	(* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))

prune2.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample14.2s

Algorithm

intervals

Results

9.2s	55469×	body	80	nan
2.1s	8027×	body	80	valid