Details

Time bar (total: 46.2s)

sample335.0ms

Algorithm
intervals
Results
244.0ms1973×body80nan
32.0ms258×body80valid

simplify419.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
418.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

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)

rewrite348.0ms

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
233.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
64.0ms
(- (+ (log (+ x y)) (log z)) t)
33.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series685.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
228.0ms
(- (+ (log (+ x y)) (log z)) t)
96.0ms
(+ (log (+ x y)) (log z))
64.0ms
(* (- a 0.5) (log t))

simplify7.7s

Counts
79 → 118
Calls
79 calls:
Slowest
561.0ms
(+ (* (- (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))))
498.0ms
(+ (* (- (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))))
454.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
441.0ms
(+ (* (- (* (+ (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))))
366.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune1.8s

Pruning

10 alts after pruning (10 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))))
0.2b
(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b
(* (- a 0.5) (log t))
0.0b
(- (log z) t)

rewrite162.0ms

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
Counts
4 → 102
Calls
4 calls:
Slowest
102.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
37.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
16.0ms
(* (- a 0.5) (log t))
6.0ms
(- (log z) t)

series557.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
110.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
101.0ms
(* (- a 0.5) (log t))
92.0ms
(- (log z) t)

simplify9.2s

Counts
75 → 114
Calls
75 calls:
Slowest
798.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
480.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
455.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
443.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (* a (log (/ 1 t))))))
424.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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
15.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series980.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
309.0ms
(cbrt t)
298.0ms
(cbrt t)
273.0ms
(cbrt t)
100.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
261.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
160.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
159.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
148.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
71.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

5.1b
(pow t 1/3)
0.6b
(+ (log (+ x y)) (log z))
0.5b
(cbrt t)
0.5b
(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)

series882.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
286.0ms
(cbrt t)
253.0ms
(cbrt t)
226.0ms
(pow t 1/3)
117.0ms
(+ (log (+ x y)) (log z))

simplify1.7s

Counts
38 → 80
Calls
38 calls:
Slowest
626.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
254.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
158.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
131.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
87.0ms
(log (- (* x x) (* y y)))

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample13.7s

Algorithm
intervals
Results
10.1s56900×body80nan
1.8s8024×body80valid