Details

Time bar (total: 31.4s)

sample44.0ms

Algorithm
intervals
Results
28.0ms315×body80valid

simplify101.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
101.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 3 expressions with local error:

3.7b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite86.0ms

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
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 82
Calls
3 calls:
Slowest
57.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)
13.0ms
(/ (+ x 4) y)

series142.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
36.0ms
(/ (+ x 4) y)
28.0ms
(* (/ x y) z)

simplify2.2s

Counts
68 → 91
Calls
68 calls:
Slowest
317.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
254.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
199.0ms
(- (* (+ x 4) y) (* y (* x z)))
153.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
139.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune987.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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
9×cbrt-prod associate-*l/
8×pow-prod-down
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
Slowest
54.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series870.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
286.0ms
(cbrt y)
273.0ms
(cbrt y)
271.0ms
(cbrt y)
40.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify11.2s

Counts
66 → 100
Calls
66 calls:
Slowest
646.0ms
(* (* (/ 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)))
423.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
397.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
384.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (log (* (/ (cbrt x) (cbrt y)) z)))
373.0ms
(* (* (* (* (/ (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)))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

3.7b
(* (/ x y) z)
0.1b
(* (+ x 4) (/ 1 y))
0.0b
(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×associate-*l* add-exp-log
16×associate-*r*
13×add-cbrt-cube associate-*l/
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×div-exp associate-*r/ un-div-inv insert-posit16
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×rec-exp sub-neg flip3-- diff-log 1-exp flip-- distribute-lft-out
Counts
3 → 96
Calls
3 calls:
Slowest
26.0ms
(* (+ x 4) (/ 1 y))
15.0ms
(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
11.0ms
(* (/ x y) z)

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
44.0ms
(* (+ x 4) (/ 1 y))
35.0ms
(* (/ x y) z)

simplify5.4s

Counts
81 → 105
Calls
81 calls:
Slowest
469.0ms
(- (* (* (- (* x x) (* 4 4)) (/ 1 y)) y) (* (- x 4) (* x z)))
331.0ms
(/ (exp (* (+ x 4) (/ 1 y))) (exp (* (/ x y) z)))
315.0ms
(* (+ (pow x 3) (pow 4 3)) (/ 1 y))
314.0ms
(- (* (* (- (* x x) (* 4 4)) 1) y) (* (* (- x 4) y) (* x z)))
287.0ms
(* (- (* x x) (* 4 4)) (/ 1 y))

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

9.2b
(cbrt (/ x y))
9.2b
(cbrt (/ x y))
9.2b
(cbrt (/ x y))
0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
Slowest
63.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series282.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(cbrt (/ x y))
86.0ms
(cbrt (/ x y))
74.0ms
(cbrt (/ x y))
29.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))

simplify4.3s

Counts
77 → 111
Calls
77 calls:
Slowest
346.0ms
(exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x)))))
321.0ms
(exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x)))))
286.0ms
(* (* (/ x y) (/ x y)) (* (/ x y) (* (* z z) z)))
261.0ms
(exp (* 1/3 (- (log x) (log y))))
259.0ms
(exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x)))))

prune1.3s

Pruning

5 alts after pruning (3 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

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s10030×body80valid