Details

Time bar (total: 39.9s)

sample343.0ms

Algorithm
intervals
Results
249.0ms1605×body80nan
38.0ms257×body80valid

simplify281.0ms

Calls
1 calls:
Slowest
280.0ms
(+ (- (+ (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: 0.2b

localize31.0ms

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)

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
7×add-sqr-sqrt pow1 add-cube-cbrt
6×associate-+l+ flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- add-log-exp
5×associate-+l-
4×log-div flip3-+ frac-add flip-+ insert-posit16
3×log-prod associate-*r* associate-*l*
2×associate--l- +-commutative sum-log sub-neg associate--l+ distribute-lft-out
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod
Calls
4 calls:
Slowest
103.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
41.0ms
(- (+ (log (+ x y)) (log z)) t)
9.0ms
(+ (log (+ x y)) (log z))
6.0ms
(* (- a 0.5) (log t))

series477.0ms

Calls
4 calls:
Slowest
183.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
169.0ms
(- (+ (log (+ x y)) (log z)) t)
79.0ms
(+ (log (+ x y)) (log z))
46.0ms
(* (- a 0.5) (log t))

simplify4.9s

Calls
46 calls:
Slowest
701.0ms
(+ (* (- (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))))
335.0ms
(+ (* (- (* (+ (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))))
325.0ms
(+ (* (- (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))))
312.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
293.0ms
(* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5))))

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×add-log-exp
7×add-sqr-sqrt pow1 add-cube-cbrt
6×flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
5×associate-+l+
4×sum-log frac-add associate-+l- insert-posit16
3×log-prod flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative log-div sub-neg distribute-lft-out
1×associate-+r+ associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod
Calls
4 calls:
Slowest
49.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
15.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
6.0ms
(* (- a 0.5) (log t))
3.0ms
(- (log z) t)

series405.0ms

Calls
4 calls:
Slowest
184.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
86.0ms
(- (log z) t)
80.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
54.0ms
(* (- a 0.5) (log t))

simplify7.1s

Calls
45 calls:
Slowest
824.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
440.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
420.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
410.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))
385.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (* a (log (/ 1 t))))))

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
1.0ms
(cbrt (+ x y))
1.0ms
(cbrt (+ x y))
1.0ms
(cbrt (+ x y))

series641.0ms

Calls
4 calls:
Slowest
204.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
177.0ms
(cbrt (+ x y))
137.0ms
(cbrt (+ x y))
122.0ms
(cbrt (+ x y))

simplify2.6s

Calls
59 calls:
Slowest
306.0ms
(- (+ (pow y 1/3) (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3)))) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))
290.0ms
(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
284.0ms
(- (+ (pow y 1/3) (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3)))) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))
280.0ms
(- (+ (pow y 1/3) (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3)))) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))
139.0ms
(* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3))))

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log t))
0.5b
(cbrt (log t))
0.5b
(cbrt (log t))
0.5b
(* (cbrt (log t)) (cbrt (log t)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (log t)) (cbrt (log t)))
1.0ms
(cbrt (log t))
1.0ms
(cbrt (log t))
1.0ms
(cbrt (log t))

series1.4s

Calls
4 calls:
Slowest
373.0ms
(* (cbrt (log t)) (cbrt (log t)))
361.0ms
(cbrt (log t))
347.0ms
(cbrt (log t))
346.0ms
(cbrt (log t))

simplify1.0s

Calls
41 calls:
Slowest
553.0ms
(pow (pow (- (log -1) (log (/ -1 t))) 2) 1/3)
95.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
90.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
85.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
22.0ms
(pow (- (log (/ 1 t))) 1/3)

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample13.4s

Algorithm
intervals
Results
10.0s56897×body80nan
1.7s8039×body80valid