Details

Time bar (total: 38.1s)

sample32.0ms

Algorithm
intervals
Results
23.0ms340×body80valid

simplify55.0ms

Calls
1 calls:
Slowest
54.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize16.0ms

Local error

Found 3 expressions with local error:

3.2b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
pow1 add-log-exp
distribute-lft-out associate-/l*
associate-/r* associate-*r* associate-*l/ insert-posit16
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Calls
3 calls:
Slowest
34.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series122.0ms

Calls
3 calls:
Slowest
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms
(/ (+ x 4) y)
29.0ms
(* (/ x y) z)

simplify2.2s

Calls
68 calls:
Slowest
248.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
231.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
174.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
156.0ms
(- (* (+ x 4) y) (* y (* x z)))
150.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune984.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

3.2b
(* (/ x y) z)
0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*l* add-cube-cbrt
10×add-log-exp
add-cbrt-cube add-exp-log
pow1
associate-*l/ distribute-lft-out
associate-*r* frac-sub insert-posit16 div-inv
sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Calls
3 calls:
Slowest
102.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
16.0ms
(+ (/ x y) (/ 4 y))
10.0ms
(* (/ x y) z)

series117.0ms

Calls
3 calls:
Slowest
51.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
43.0ms
(+ (/ x y) (/ 4 y))
23.0ms
(* (/ x y) z)

simplify3.5s

Calls
53 calls:
Slowest
526.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
494.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
362.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
344.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
343.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))

prune762.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×pow1
cbrt-prod associate-*l/
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
frac-times
insert-posit16 add-log-exp
pow1/3 associate-*r/
associate-*r* associate-*l* *-commutative
Calls
4 calls:
Slowest
69.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series866.0ms

Calls
4 calls:
Slowest
298.0ms
(cbrt x)
266.0ms
(cbrt x)
258.0ms
(cbrt x)
44.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify12.4s

Calls
66 calls:
Slowest
835.0ms
(* (* (/ x y) (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y)))) (* (* (* (/ (cbrt x) (cbrt y)) z) (* (/ (cbrt x) (cbrt y)) z)) (* (/ (cbrt x) (cbrt y)) z)))
531.0ms
(+ (log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
399.0ms
(* (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (* (* (/ (cbrt x) (cbrt y)) z) (* (/ (cbrt x) (cbrt y)) z)) (* (/ (cbrt x) (cbrt y)) z)))
399.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
396.0ms
(* (* (/ x y) (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y)))) (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (* (* z z) z)))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ x y) z)
0.1b
(/ 1 (/ y (+ x 4)))
0.0b
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
0.0b
(/ y (+ x 4))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×associate-/r* add-exp-log
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
div-exp
pow1 div-inv
associate-/l* add-log-exp
cbrt-undiv flip3-+ flip-+
insert-posit16
associate-*r*
rec-exp clear-num frac-2neg 1-exp associate-*l/ prod-exp cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow
Calls
4 calls:
Slowest
50.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
20.0ms
(* (/ x y) z)
20.0ms
(/ 1 (/ y (+ x 4)))
10.0ms
(/ y (+ x 4))

series186.0ms

Calls
4 calls:
Slowest
73.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
46.0ms
(/ y (+ x 4))
38.0ms
(/ 1 (/ y (+ x 4)))
29.0ms
(* (/ x y) z)

simplify11.2s

Calls
208 calls:
Slowest
425.0ms
(/ (sqrt 1) (/ y (- (* x x) (* 4 4))))
360.0ms
(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
315.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ y (- (* x x) (* 4 4))))
305.0ms
(/ 1 (/ y (+ (pow x 3) (pow 4 3))))
294.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ x 4)) (cbrt (+ x 4)))))

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch6.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s10107×body80valid