Details

Time bar (total: 33.8s)

sample51.0ms

Algorithm
intervals
Results
36.0ms298×body80valid

simplify418.0ms

Calls
1 calls:
Slowest
418.0ms
(* x (/ (* (/ y z) t) t))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
8.0ms
(* x (/ y z))

series26.0ms

Calls
1 calls:
Slowest
26.0ms
(* x (/ y z))

simplify723.0ms

Calls
27 calls:
Slowest
248.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
149.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
54.0ms
(+ (log x) (log (/ y z)))
42.0ms
(+ (log x) (- (log y) (log z)))
34.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune335.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down associate-*r/ *-commutative div-inv
Calls
4 calls:
Slowest
59.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series938.0ms

Calls
4 calls:
Slowest
277.0ms
(cbrt y)
271.0ms
(cbrt y)
253.0ms
(cbrt y)
136.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify4.9s

Calls
44 calls:
Slowest
480.0ms
(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
470.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
410.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
363.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (log (* (cbrt z) (cbrt z)))))
354.0ms
(+ (log x) (log (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
25×prod-exp cbrt-unprod
24×add-cbrt-cube
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
8×cbrt-undiv div-exp
6×pow1
5×associate-*r*
4×insert-posit16 add-log-exp
3×pow1/3 associate-*l*
1×times-frac pow-prod-down associate-*r/ *-commutative div-inv unswap-sqr
Calls
4 calls:
Slowest
249.0ms
(* x (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series949.0ms

Calls
4 calls:
Slowest
281.0ms
(cbrt y)
275.0ms
(cbrt y)
274.0ms
(cbrt y)
119.0ms
(* x (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z))))

simplify10.3s

Calls
50 calls:
Slowest
777.0ms
(* (* (* x x) x) (/ (* y (* (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
733.0ms
(* (* (* x x) x) (/ (* y (* (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
701.0ms
(* (* (* x x) x) (/ (* (* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
530.0ms
(* (sqrt x) (sqrt (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z)))))
524.0ms
(* (* (* x x) x) (* (* (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt z) (cbrt z)))))

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×cbrt-unprod
14×div-exp
9×pow1
8×cbrt-undiv
4×1-exp insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Calls
4 calls:
Slowest
49.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series901.0ms

Calls
4 calls:
Slowest
335.0ms
(cbrt y)
262.0ms
(cbrt y)
255.0ms
(cbrt y)
48.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.7s

Calls
68 calls:
Slowest
845.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
563.0ms
(+ (+ (log x) (- (log (* (cbrt y) (cbrt y))) 0)) (log (/ (cbrt y) z)))
501.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
499.0ms
(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))
481.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.2s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9640×body80valid