Details

Time bar (total: 39.4s)

sample297.0ms

Algorithm
intervals
Results
215.0ms1829×body80nan
29.0ms256×body80valid

simplify322.0ms

Calls
1 calls:
Slowest
321.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 2 expressions with local error:

0.4b
(fma (- a 0.5) (log t) (log z))
0.2b
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
associate-+l+
add-sqr-sqrt add-cube-cbrt add-log-exp
log-prod fma-def associate--l+
expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u
+-commutative associate-+r+ sum-log sub-neg flip3-+ associate-+l- flip-+ distribute-lft-out
Calls
2 calls:
Slowest
40.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0ms
(fma (- a 0.5) (log t) (log z))

series281.0ms

Calls
2 calls:
Slowest
188.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
93.0ms
(fma (- a 0.5) (log t) (log z))

simplify2.0s

Calls
17 calls:
Slowest
374.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
314.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
307.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
242.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))
222.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))

prune589.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
pow1
fma-def
associate-+l+ flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- add-log-exp
fma-neg associate-+l-
expm1-log1p-u log-div flip3-+ frac-add flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
log-prod associate-*r* associate-*l* log-pow
associate--l- +-commutative sum-log sub-neg associate--l+
pow-prod-down prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
166.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms
(- (+ (log (+ x y)) (log z)) t)
6.0ms
(+ (log (+ x y)) (log z))
5.0ms
(* (- a 0.5) (log t))

series600.0ms

Calls
4 calls:
Slowest
244.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
183.0ms
(- (+ (log (+ x y)) (log z)) t)
101.0ms
(+ (log (+ x y)) (log z))
73.0ms
(* (- a 0.5) (log t))

simplify6.2s

Calls
52 calls:
Slowest
492.0ms
(+ (* (- (* (+ (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))))
488.0ms
(+ (* (- (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))))
484.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
366.0ms
(+ (log z) (log y))
332.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
add-log-exp
pow1
fma-def
flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
associate-+l+
expm1-log1p-u sum-log frac-add associate-+l- insert-posit16 log1p-expm1-u
log-prod flip3-+ fma-neg associate-*r* associate-*l* flip-+
+-commutative log-div sub-neg log-pow distribute-lft-out
associate-+r+ associate-+r- pow-prod-down prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
50.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
40.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
10.0ms
(* (- a 0.5) (log t))
7.0ms
(- (log z) t)

series582.0ms

Calls
4 calls:
Slowest
278.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
134.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
93.0ms
(* (- a 0.5) (log t))
77.0ms
(- (log z) t)

simplify6.5s

Calls
51 calls:
Slowest
582.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
387.0ms
(* (+ (* (log z) (log z)) (+ (* t t) (* (log z) t))) (+ a 0.5))
340.0ms
(- (+ (* a (log t)) (log z)) (+ t (* 0.5 (log t))))
325.0ms
(- (log -1) (+ t (log (/ -1 z))))
323.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.5b
(cbrt (log t))
0.5b
(cbrt (log t))
0.5b
(cbrt (log t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
cbrt-prod add-sqr-sqrt add-cube-cbrt
pow1
expm1-log1p-u fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
associate-+l+ log-prod pow1/3
log-div flip3-+ log-pow associate-+l- flip-+ distribute-lft-out
+-commutative sum-log
Calls
4 calls:
Slowest
12.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt (log t))
1.0ms
(cbrt (log t))
1.0ms
(cbrt (log t))

series1.3s

Calls
4 calls:
Slowest
416.0ms
(cbrt (log t))
397.0ms
(cbrt (log t))
353.0ms
(cbrt (log t))
92.0ms
(+ (log (+ x y)) (log z))

simplify894.0ms

Calls
31 calls:
Slowest
267.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
115.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
97.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
71.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
62.0ms
(log (- (* x x) (* y y)))

prune1.2s

Pruning

12 alts after pruning (10 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

sample13.8s

Algorithm
intervals
Results
9.7s56530×body80nan
2.3s8039×body80valid