Details

Time bar (total: 6.9m)

sample32.0ms

Algorithm
intervals
Results
22.0ms323×body80valid

simplify75.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
75.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize32.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
add-cbrt-cube add-exp-log
distribute-lft-out
pow1 add-log-exp
associate-*r* associate-*l/ div-inv
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- sub-div
Counts
2 → 84
Calls
2 calls:
Slowest
387.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

series69.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify5.2s

Counts
80 → 90
Calls
80 calls:
Slowest
281.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
276.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
242.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))
235.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* z (/ x y))))
227.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))

prune959.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (- (+ x 4) (* x z)) y)
0.0b
(- (+ x 4) (* x z))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
times-frac
add-log-exp
add-cbrt-cube fma-neg prod-diff add-exp-log
associate-/r* associate-/l*
expm1-log1p-u pow1 flip3-- diff-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out associate-/l/
cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 58
Calls
2 calls:
Slowest
62.0ms
(/ (- (+ x 4) (* x z)) y)
41.0ms
(- (+ x 4) (* x z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(/ (- (+ x 4) (* x z)) y)
30.0ms
(- (+ x 4) (* x z))

simplify3.7s

Counts
45 → 64
Calls
45 calls:
Slowest
462.0ms
(- (pow (+ x 4) 3) (pow (* x z) 3))
235.0ms
(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
171.0ms
(/ (- (+ x 4) (* x z)) (cbrt y))
154.0ms
(/ (* (* (- (+ x 4) (* x z)) (- (+ x 4) (* x z))) (- (+ x 4) (* x z))) (* (* y y) y))
142.0ms
(/ (* (exp x) (exp 4)) (exp (* x z)))

prune589.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
1684×times-frac
1245×*-un-lft-identity
985×add-sqr-sqrt
964×add-cube-cbrt
704×prod-diff
136×distribute-lft-out
114×div-inv
17×associate-/r/
16×fma-neg
13×associate-/r*
add-cbrt-cube add-exp-log
difference-of-squares
add-log-exp
cbrt-undiv div-exp associate-/l* distribute-lft-out--
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
clear-num sub-neg frac-2neg flip3-- diff-log frac-sub flip--
Counts
2 → 818
Calls
2 calls:
Slowest
56.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
7.0ms
(/ z (/ y x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
72.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
37.0ms
(/ z (/ y x))

simplify6.3m

Counts
1546 → 824
Calls
1546 calls:
Slowest
1.1s
(fma (/ 1 1) (/ (+ 4 x) y) (- (* (/ z (/ (cbrt y) (sqrt x))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt x))))))
827.0ms
(fma (sqrt (/ (+ 4 x) y)) (sqrt (/ (+ 4 x) y)) (- (* (/ z (/ (sqrt y) (cbrt x))) (/ 1 (/ (sqrt y) (* (cbrt x) (cbrt x)))))))
782.0ms
(fma (- (/ z (/ (sqrt y) (cbrt x)))) (/ 1 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* (/ z (/ (sqrt y) (cbrt x))) (/ 1 (/ (sqrt y) (* (cbrt x) (cbrt x))))))
778.0ms
(fma (/ 1 (sqrt y)) (/ (+ 4 x) (sqrt y)) (- (* (/ (sqrt z) (/ 1 x)) (/ (sqrt z) y))))
764.0ms
(fma (- (/ (cbrt z) (/ (sqrt y) (sqrt x)))) (/ (* (cbrt z) (cbrt z)) (/ (sqrt y) (sqrt x))) (* (/ (cbrt z) (/ (sqrt y) (sqrt x))) (/ (* (cbrt z) (cbrt z)) (/ (sqrt y) (sqrt x)))))

prune10.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

3.8b
(* (/ 1 y) (* z x))
0.0b
(- (/ (+ 4 x) y) (* (/ 1 y) (* z x)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
33×times-frac
25×add-sqr-sqrt add-cube-cbrt
24×add-exp-log
16×fma-neg prod-diff
14×add-cbrt-cube
13×associate-*l*
12×prod-exp
pow1
cbrt-unprod distribute-lft-out
div-exp add-log-exp
pow-prod-down associate-*l/ div-inv
expm1-log1p-u cbrt-undiv rec-exp 1-exp insert-posit16 log1p-expm1-u
sub-neg flip3-- diff-log associate-*r* *-commutative frac-sub flip-- sub-div
Counts
2 → 89
Calls
2 calls:
Slowest
60.0ms
(- (/ (+ 4 x) y) (* (/ 1 y) (* z x)))
31.0ms
(* (/ 1 y) (* z x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(- (/ (+ 4 x) y) (* (/ 1 y) (* z x)))
33.0ms
(* (/ 1 y) (* z x))

simplify10.0s

Counts
83 → 95
Calls
83 calls:
Slowest
566.0ms
(* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (* z z) z) (* (* x x) x)))
380.0ms
(fma (/ (* (cbrt (+ 4 x)) (cbrt (+ 4 x))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 4 x)) (cbrt y)) (- (* (* z x) (/ 1 y))))
378.0ms
(- (* (+ 4 x) y) (* y (* 1 (* z x))))
350.0ms
(fma (/ (* (cbrt (+ 4 x)) (cbrt (+ 4 x))) 1) (/ (cbrt (+ 4 x)) y) (- (* (* z x) (/ 1 y))))
341.0ms
(fma (/ 1 1) (/ (+ 4 x) y) (- (* (* z x) (/ 1 y))))

prune966.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10085×body80valid