Details

Time bar (total: 56.4s)

sample448.0ms

Algorithm
intervals
Results
304.0ms1829×body80nan
67.0ms256×body80valid

simplify838.0ms

Calls
1 calls:
Slowest
838.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

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)

rewrite267.0ms

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
Calls
4 calls:
Slowest
179.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
39.0ms
(- (+ (log (+ x y)) (log z)) t)
34.0ms
(* (- a 0.5) (log t))
13.0ms
(+ (log (+ x y)) (log z))

series721.0ms

Calls
4 calls:
Slowest
276.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
251.0ms
(- (+ (log (+ x y)) (log z)) t)
100.0ms
(* (- a 0.5) (log t))
94.0ms
(+ (log (+ x y)) (log z))

simplify7.2s

Calls
79 calls:
Slowest
520.0ms
(+ (* (- (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))))
499.0ms
(+ (* (- (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))))
472.0ms
(+ (* (- (* (+ (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))))
413.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
318.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×log-prod
19×add-sqr-sqrt
14×add-log-exp
13×add-cube-cbrt
9×pow1 associate-+l+
7×associate-+r+ sum-log
6×distribute-rgt-in distribute-lft-in flip3-- add-cbrt-cube associate-*l/ associate--l+ add-exp-log flip--
5×associate-*l*
4×associate-*r* frac-add associate-+l- insert-posit16
3×flip3-+ diff-log log-pow flip-+ distribute-lft-out distribute-lft-out--
2×+-commutative log-div sub-neg difference-of-squares
1×associate-+r- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
85.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
56.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
33.0ms
(* (- a 0.5) (log t))
13.0ms
(- (log z) t)

series583.0ms

Calls
4 calls:
Slowest
269.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
118.0ms
(- (log z) t)
116.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
80.0ms
(* (- a 0.5) (log t))

simplify8.6s

Calls
75 calls:
Slowest
761.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
419.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
391.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (* a (log (/ 1 t))))))
368.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
364.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Calls
4 calls:
Slowest
326.0ms
(cbrt z)
318.0ms
(cbrt z)
278.0ms
(cbrt z)
268.0ms
(* (cbrt z) (cbrt z))

simplify878.0ms

Calls
63 calls:
Slowest
130.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
116.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
112.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
108.0ms
(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))
77.0ms
(* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (* (cbrt (cbrt z)) (cbrt (cbrt z))))

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
29×log-prod
19×add-sqr-sqrt associate-+l+ add-log-exp
16×sum-log
15×add-cube-cbrt
14×distribute-lft-out
13×pow1
9×associate-+l-
8×associate-+r+ sqrt-prod
7×log-pow
6×distribute-rgt-in log-div distribute-lft-in flip3-+ add-cbrt-cube sqrt-div associate-*l/ add-exp-log flip-+
5×associate-+r- flip3-- associate-*l* flip--
4×associate-*r* frac-add insert-posit16
3×+-commutative diff-log associate--l+
1×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Calls
4 calls:
Slowest
256.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
86.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
33.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
18.0ms
(* (- a 0.5) (log t))

series928.0ms

Calls
4 calls:
Slowest
376.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
316.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
128.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
108.0ms
(* (- a 0.5) (log t))

simplify12.0s

Calls
93 calls:
Slowest
706.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
640.0ms
(* (sqrt (+ x y)) (exp (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))))
430.0ms
(+ (* (- (pow (log z) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (log z) (log z)) (+ (* t t) (* (log z) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
409.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
403.0ms
(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample13.2s

Algorithm
intervals
Results
9.3s56530×body80nan
2.2s8039×body80valid