Details

Time bar (total: 47.1s)

sample361.0ms

Algorithm
intervals
Results
232.0ms1774×body80nan
34.0ms258×body80valid

simplify328.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
328.0ms
(+ (- (+ (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: 0.3b

localize36.0ms

Local error

Found 3 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)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
19×log-prod *-un-lft-identity
15×add-sqr-sqrt
11×add-cube-cbrt
10×pow1 add-log-exp
9×associate-+r+
7×associate-+l+
6×distribute-rgt-in distribute-lft-in associate-*l/
5×sum-log flip3-- add-cbrt-cube associate-*l* add-exp-log log-pow flip-- distribute-lft-out
4×associate-*r* frac-add
3×flip3-+ associate-+l- flip-+ insert-posit16
2×+-commutative log-div diff-log
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 83
Calls
3 calls:
Slowest
181.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
32.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series500.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
301.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
117.0ms
(+ (log (+ x y)) (log z))
81.0ms
(* (- a 0.5) (log t))

simplify6.6s

Counts
64 → 92
Calls
64 calls:
Slowest
570.0ms
(+ (* (- (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))))
497.0ms
(+ (* (- (* (+ (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))))
457.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
447.0ms
(+ (* (- (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))))
368.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
19×log-prod
18×*-un-lft-identity
15×add-sqr-sqrt
12×add-log-exp
11×add-cube-cbrt
9×associate-+l+
7×pow1 associate-+r+ sum-log
6×distribute-rgt-in distribute-lft-in associate-*l/
5×flip3-- add-cbrt-cube associate-*l* add-exp-log flip--
4×associate-*r* frac-add associate-+l-
3×flip3-+ associate--l+ flip-+ insert-posit16 distribute-lft-out
2×+-commutative log-div diff-log log-pow
1×associate-+r- sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 83
Calls
3 calls:
Slowest
69.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
37.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
15.0ms
(* (- a 0.5) (log t))

series487.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
280.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
114.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
93.0ms
(* (- a 0.5) (log t))

simplify8.7s

Counts
64 → 92
Calls
64 calls:
Slowest
774.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ t (+ (* a (log (/ -1 t))) (log (/ -1 z)))))
507.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
499.0ms
(* (+ (log z) t) (+ a 0.5))
403.0ms
(+ (* (- (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))))
399.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (log (+ x y)) 3)
0.7b
(pow (log z) 3)
0.6b
(* (log (+ x y)) (log (+ x y)))
0.6b
(* (log z) (log z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1
30×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
16×log-pow
14×log-prod
12×swap-sqr
10×add-cbrt-cube add-exp-log
8×unpow-prod-down cube-prod associate-*r* associate-*l*
7×distribute-rgt-in distribute-lft-in
6×pow-unpow
4×insert-posit16 add-log-exp
2×pow2 cube-mult pow-to-exp pow-pow pow-plus unpow3 pow-prod-down pow-exp prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod distribute-lft-out rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 128
Calls
4 calls:
Slowest
11.0ms
(* (log (+ x y)) (log (+ x y)))
7.0ms
(* (log z) (log z))
3.0ms
(pow (log (+ x y)) 3)
2.0ms
(pow (log z) 3)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
410.0ms
(pow (log (+ x y)) 3)
255.0ms
(pow (log z) 3)
227.0ms
(* (log (+ x y)) (log (+ x y)))
219.0ms
(* (log z) (log z))

simplify4.6s

Counts
108 → 140
Calls
108 calls:
Slowest
560.0ms
(pow (- (log -1) (log (/ -1 z))) 3)
527.0ms
(pow (- (log -1) (log (/ -1 x))) 3)
493.0ms
(pow (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) 3)
431.0ms
(pow (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) 3)
335.0ms
(* -1 (pow (log (/ 1 x)) 3))

prune2.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

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
Counts
4 → 77
Calls
4 calls:
Slowest
7.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
275.0ms
(cbrt t)
274.0ms
(* (cbrt t) (cbrt t))
263.0ms
(cbrt t)
249.0ms
(cbrt t)

simplify970.0ms

Counts
63 → 89
Calls
63 calls:
Slowest
146.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
145.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
138.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
125.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
58.0ms
(* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t))))

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes997.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample13.5s

Algorithm
intervals
Results
10.2s55992×body80nan
1.5s8042×body80valid