Details

Time bar (total: 7.4m)

sample31.0ms

Algorithm
intervals
Results
23.0ms316×body80valid

simplify112.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
112.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 3 expressions with local error:

2.7b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite68.0ms

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
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
41.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms
(/ (+ x 4) y)
12.0ms
(* (/ x y) z)

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
37.0ms
(/ (+ x 4) y)
24.0ms
(* (/ x y) z)

simplify5.9s

Counts
115 → 129
Calls
115 calls:
Slowest
317.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
269.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* z (/ x y))))
266.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))
263.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
261.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

2.7b
(* (/ x y) z)
0.1b
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
13.0ms
(* (/ x y) z)
0.0ms
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))
39.0ms
(* (/ x y) z)

simplify1.2s

Counts
29 → 52
Calls
29 calls:
Slowest
232.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
169.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
166.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
127.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
123.0ms
(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))

prune616.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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
7×associate-/l*
6×difference-of-squares
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u distribute-lft-out--
2×clear-num frac-2neg associate-/l/
1×sub-neg flip3-+ flip3-- diff-log frac-sub flip-+ flip--
Counts
3 → 854
Calls
3 calls:
Slowest
48.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
17.0ms
(/ z (/ y x))
13.0ms
(/ (+ 4 x) y)

series107.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
55.0ms
(- (/ (+ 4 x) y) (/ z (/ y x)))
29.0ms
(/ (+ 4 x) y)
22.0ms
(/ z (/ y x))

simplify6.3m

Counts
1581 → 863
Calls
1581 calls:
Slowest
997.0ms
(fma (- (/ z (cbrt (/ y x)))) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* (/ z (cbrt (/ y x))) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x))))))
902.0ms
(fma (/ 1 1) (/ (+ 4 x) y) (- (* (/ (sqrt z) (/ (cbrt y) x)) (/ (sqrt z) (/ (* (cbrt y) (cbrt y)) 1)))))
874.0ms
(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)))))))
823.0ms
(fma (- (/ z (cbrt (/ y x)))) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* (/ z (cbrt (/ y x))) (/ 1 (* (cbrt (/ y x)) (cbrt (/ y x))))))
793.0ms
(fma (/ 1 1) (/ (+ 4 x) y) (- (* (/ (cbrt z) (/ (sqrt y) (sqrt x))) (/ (* (cbrt z) (cbrt z)) (/ (sqrt y) (sqrt x))))))

prune12.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (/ z (/ (cbrt y) x)) (* (cbrt y) (cbrt y)))
0.9b
(/ z (/ (cbrt y) x))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
205×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
96×cbrt-prod
74×associate-/l*
30×add-exp-log
23×associate-/r*
21×add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp associate-/r/ cbrt-unprod
2×clear-num frac-2neg pow1/3
1×associate-/l/
Counts
4 → 306
Calls
4 calls:
Slowest
18.0ms
(/ (/ z (/ (cbrt y) x)) (* (cbrt y) (cbrt y)))
12.0ms
(/ z (/ (cbrt y) x))
2.0ms
(cbrt y)
1.0ms
(cbrt y)

series885.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(cbrt y)
302.0ms
(cbrt y)
175.0ms
(/ z (/ (cbrt y) x))
87.0ms
(/ (/ z (/ (cbrt y) x)) (* (cbrt y) (cbrt y)))

simplify31.8s

Counts
402 → 318
Calls
402 calls:
Slowest
589.0ms
(* (/ (* x z) (cbrt -1)) (pow (/ -1 y) 1/3))
538.0ms
(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt x) (cbrt x))))
523.0ms
(/ (/ (sqrt z) (/ (cbrt (cbrt y)) x)) (cbrt y))
493.0ms
(- (- (log z) (- (log (cbrt y)) (log x))) (+ (log (cbrt y)) (log (cbrt y))))
453.0ms
(/ (* (* z z) z) (/ y (* (* x x) x)))

prune4.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s10138×body80valid