Details

Time bar (total: 41.0s)

sample348.0ms

Algorithm
intervals
Results
254.0ms1829×body80nan
33.0ms256×body80valid

simplify392.0ms

Calls
1 calls:
Slowest
392.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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)

rewrite182.0ms

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
113.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms
(- (+ (log (+ x y)) (log z)) t)
9.0ms
(* (- a 0.5) (log t))
5.0ms
(+ (log (+ x y)) (log z))

series656.0ms

Calls
4 calls:
Slowest
262.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
214.0ms
(- (+ (log (+ x y)) (log z)) t)
93.0ms
(* (- a 0.5) (log t))
87.0ms
(+ (log (+ x y)) (log z))

simplify5.5s

Calls
46 calls:
Slowest
531.0ms
(+ (* (- (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))))
438.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
400.0ms
(+ (* (- (* (+ (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))))
396.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ a 0.5)) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (* a a) (* 0.5 0.5)) (log t))))
380.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)

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
43.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
22.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
5.0ms
(* (- a 0.5) (log t))
3.0ms
(- (log z) t)

series600.0ms

Calls
4 calls:
Slowest
285.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
131.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
92.0ms
(* (- a 0.5) (log t))
92.0ms
(- (log z) t)

simplify7.1s

Calls
45 calls:
Slowest
692.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
466.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
447.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (* a (log (/ 1 t))))))
390.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
348.0ms
(* (+ (* (log z) (log z)) (+ (* t t) (* (log z) t))) (+ a 0.5))

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

series1.5s

Calls
4 calls:
Slowest
427.0ms
(cbrt (log t))
388.0ms
(cbrt (log t))
374.0ms
(* (cbrt (log t)) (cbrt (log t)))
359.0ms
(cbrt (log t))

simplify879.0ms

Calls
41 calls:
Slowest
464.0ms
(pow (pow (- (log -1) (log (/ -1 t))) 2) 1/3)
89.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
70.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
60.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
24.0ms
(pow (pow (log (/ 1 t)) 2) 1/3)

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (log t)))
0.5b
(cbrt (* (cbrt (log t)) (cbrt (log t))))
0.5b
(cbrt (log t))
0.5b
(cbrt (log t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Calls
4 calls:
Slowest
3.0ms
(cbrt (* (cbrt (log t)) (cbrt (log t))))
1.0ms
(cbrt (cbrt (log t)))
1.0ms
(cbrt (log t))
1.0ms
(cbrt (log t))

series2.0s

Calls
4 calls:
Slowest
754.0ms
(cbrt (cbrt (log t)))
448.0ms
(cbrt (log t))
428.0ms
(cbrt (* (cbrt (log t)) (cbrt (log t))))
409.0ms
(cbrt (log t))

simplify1.0s

Calls
25 calls:
Slowest
573.0ms
(pow (pow (- (log -1) (log (/ -1 t))) 2) 1/9)
115.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
102.0ms
(pow (- (log -1) (log (/ -1 t))) 1/3)
67.0ms
(pow (- (log -1) (log (/ -1 t))) 1/9)
34.0ms
(pow (pow (log (/ 1 t)) 2) 1/9)

prune1.3s

Pruning

11 alts after pruning (8 fresh and 3 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

bsearch2.0ms

end0.0ms

sample13.8s

Algorithm
intervals
Results
10.7s56530×body80nan
1.4s8039×body80valid