Details

Time bar (total: 7.0m)

sample62.0ms

Algorithm
intervals
Results
43.0ms348×body80valid

simplify90.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
90.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize31.0ms

Local error

Found 3 expressions with local error:

3.5b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
36.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
18.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series115.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
32.0ms
(/ (+ x 4) y)
24.0ms
(* (/ x y) z)

simplify6.3s

Counts
115 → 129
Calls
115 calls:
Slowest
381.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
322.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
275.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
248.0ms
(- (* (+ x 4) y) (* y (* x z)))
229.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

4.4b
(/ z (/ y x))
0.0b
(/ (+ 4 x) y)
0.0b
(- (/ (+ 4 x) y) (/ z (/ y x)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
1696×times-frac
1263×*-un-lft-identity
995×add-sqr-sqrt
974×add-cube-cbrt
704×prod-diff
140×distribute-lft-out
115×div-inv
17×associate-/r/
16×associate-/r* fma-neg
10×add-cbrt-cube add-exp-log
associate-/l*
difference-of-squares
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u distribute-lft-out--
clear-num frac-2neg associate-/l/
sub-neg flip3-+ flip3-- diff-log frac-sub flip-+ flip--
Counts
3 → 854
Calls
3 calls:
Slowest
45.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
28.0ms
(/ (+ 4 x) y)
12.0ms
(/ z (/ y x))

series165.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
47.0ms
(/ (+ 4 x) y)
38.0ms
(/ z (/ y x))

simplify6.3m

Counts
1581 → 863
Calls
1581 calls:
Slowest
977.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 4 x) (cbrt y)) (- (* (/ (sqrt z) (/ (cbrt y) (sqrt x))) (/ (sqrt z) (/ (* (cbrt y) (cbrt y)) (sqrt x))))))
878.0ms
(fma (/ 1 1) (/ (+ 4 x) y) (- (* (/ (sqrt z) (/ y (cbrt x))) (/ (sqrt z) (/ 1 (* (cbrt x) (cbrt x)))))))
799.0ms
(fma (/ (sqrt (+ 4 x)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 4 x)) (cbrt y)) (- (* (/ z (/ (sqrt y) (cbrt x))) (/ 1 (/ (sqrt y) (* (cbrt x) (cbrt x)))))))
790.0ms
(fma (/ 1 (sqrt y)) (/ (+ 4 x) (sqrt y)) (- (* (/ (cbrt z) (/ (sqrt y) x)) (/ (* (cbrt z) (cbrt z)) (/ (sqrt y) 1)))))
784.0ms
(fma (+ 4 x) (/ 1 y) (- (* (/ z (/ (sqrt y) (sqrt x))) (/ 1 (/ (sqrt y) (sqrt x))))))

prune11.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

3.5b
(* (/ x y) z)
0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
pow1
associate-*l/
expm1-log1p-u distribute-rgt-out associate-*r* frac-sub insert-posit16 log1p-expm1-u
sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 104
Calls
3 calls:
Slowest
111.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
15.0ms
(+ (/ x y) (/ 4 y))
10.0ms
(* (/ x y) z)

series190.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
63.0ms
(+ (/ x y) (/ 4 y))
30.0ms
(* (/ x y) z)

simplify6.2s

Counts
86 → 113
Calls
86 calls:
Slowest
503.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
501.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
433.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (+ (/ x (cbrt y)) (/ 4 (cbrt y))) (- (* z (/ x y))))
408.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
363.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

7.2b
(* (/ z y) x)
0.0b
(/ (+ 4 x) y)
0.0b
(- (/ (+ 4 x) y) (* (/ z y) x))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
74.0ms
(- (/ (+ 4 x) y) (* (/ z y) x))
15.0ms
(/ (+ 4 x) y)
11.0ms
(* (/ z y) x)

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(- (/ (+ 4 x) y) (* (/ z y) x))
38.0ms
(* (/ z y) x)
35.0ms
(/ (+ 4 x) y)

simplify6.5s

Counts
115 → 129
Calls
115 calls:
Slowest
409.0ms
(/ (* (* (+ 4 x) (+ 4 x)) (+ 4 x)) (* (* y y) y))
310.0ms
(fma (/ 1 (sqrt y)) (/ (+ 4 x) (sqrt y)) (- (* x (/ z y))))
289.0ms
(fma (/ 1 (sqrt y)) (/ (+ 4 x) (sqrt y)) (- (* x (/ z y))))
273.0ms
(fma (/ (* (cbrt (+ 4 x)) (cbrt (+ 4 x))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 4 x)) (cbrt y)) (- (* x (/ z y))))
263.0ms
(- (* (+ 4 x) y) (* y (* z x)))

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

89.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch104.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s10170×body80valid