Details

Time bar (total: 6.8m)

sample39.0ms

Algorithm
intervals
Results
27.0ms320×body80valid

simplify93.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
93.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize23.0ms

Local error

Found 3 expressions with local error:

4.1b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite67.0ms

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
38.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms
(/ (+ x 4) y)
13.0ms
(* (/ x y) z)

series102.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
31.0ms
(/ (+ x 4) y)
25.0ms
(* (/ x y) z)

simplify5.2s

Counts
115 → 129
Calls
115 calls:
Slowest
308.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
246.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
233.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* z (/ x y))))
224.0ms
(- (* (+ x 4) y) (* y (* x z)))
211.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (* (/ 1 y) z))
0.2b
(* (/ 1 y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
38×add-cube-cbrt
30×add-exp-log
20×add-cbrt-cube
16×fma-neg associate-*l* prod-diff
13×prod-exp
11×pow1
10×distribute-lft-out
cbrt-unprod
add-log-exp
div-exp
expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv associate-/l*
cbrt-undiv associate-/r* associate-*r/ unswap-sqr
rec-exp 1-exp *-commutative associate-/l/
clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log frac-sub flip-+ flip-- sub-div
Counts
4 → 149
Calls
4 calls:
Slowest
53.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
34.0ms
(* x (* (/ 1 y) z))
24.0ms
(/ (+ x 4) y)
17.0ms
(* (/ 1 y) z)

series145.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
35.0ms
(* x (* (/ 1 y) z))
34.0ms
(/ (+ x 4) y)
14.0ms
(* (/ 1 y) z)

simplify14.3s

Counts
134 → 161
Calls
134 calls:
Slowest
562.0ms
(* (* (* x x) x) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z)))
444.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* (* (/ 1 y) z) x)))
430.0ms
(* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z))
389.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) 1) (/ (cbrt (+ x 4)) y) (- (* (* (/ 1 y) z) x)))
362.0ms
(fma (- (* (/ 1 y) z)) x (* (* (/ 1 y) z) x))

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

4.3b
(/ z (/ y x))
0.0b
(/ (+ 4 x) y)
0.0b
(- (/ (+ 4 x) y) (/ z (/ y x)))

rewrite105.0ms

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
52.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
15.0ms
(/ (+ 4 x) y)
11.0ms
(/ z (/ y x))

series155.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(/ (+ 4 x) y)
59.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
30.0ms
(/ z (/ y x))

simplify6.2m

Counts
1581 → 863
Calls
1581 calls:
Slowest
810.0ms
(fma (- (/ z (/ (sqrt y) x))) (/ 1 (/ (sqrt y) 1)) (* (/ z (/ (sqrt y) x)) (/ 1 (/ (sqrt y) 1))))
789.0ms
(fma (/ (* (cbrt (+ 4 x)) (cbrt (+ 4 x))) 1) (/ (cbrt (+ 4 x)) y) (- (* (/ (sqrt z) (/ (cbrt y) x)) (/ (sqrt z) (/ (* (cbrt y) (cbrt y)) 1)))))
752.0ms
(fma (/ (* (cbrt (+ 4 x)) (cbrt (+ 4 x))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 4 x)) (cbrt y)) (- (* (/ (cbrt z) (/ (sqrt y) x)) (/ (* (cbrt z) (cbrt z)) (/ (sqrt y) 1)))))
734.0ms
(fma (+ 4 x) (/ 1 y) (- (* (/ (sqrt z) (/ (sqrt y) (cbrt x))) (/ (sqrt z) (/ (sqrt y) (* (cbrt x) (cbrt x)))))))
714.0ms
(fma (- (/ (sqrt z) (/ (sqrt y) x))) (/ (sqrt z) (/ (sqrt y) 1)) (* (/ (sqrt z) (/ (sqrt y) x)) (/ (sqrt z) (/ (sqrt y) 1))))

prune11.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

3.6b
(* x (/ z y))
0.1b
(fma (+ 4 x) (/ 1 y) (- (* x (/ z y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
add-cbrt-cube add-exp-log
pow1
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
15.0ms
(* x (/ z y))
0.0ms
(fma (+ 4 x) (/ 1 y) (- (* x (/ z y))))

series115.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
86.0ms
(fma (+ 4 x) (/ 1 y) (- (* x (/ z y))))
30.0ms
(* x (/ z y))

simplify1.0s

Counts
30 → 52
Calls
30 calls:
Slowest
192.0ms
(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
141.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
136.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
122.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
77.0ms
(* (* (* x x) x) (/ (* (* z z) z) (* (* y y) y)))

prune559.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

95.7% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch162.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.5s10076×body80valid