Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636
done636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0b
(* (/ x y) z)

rewrite98.0ms

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-exp-log add-cbrt-cube distribute-lft-out
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
19.0ms
(/ (+ x 4.0) y)
61.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series100.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 4.0) y)
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify44.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0399743
11422683
25001668
done5001668

prune279.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0b
(fma 4.0 (/ 1 y) (/ x y))
4.0b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
prod-exp cbrt-unprod fma-udef unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative flip-- div-inv
Counts
3 → 65
Calls
3 calls:
6.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0ms
(fma 4.0 (/ 1 y) (/ x y))
14.0ms
(* (/ x y) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
31.0ms
(fma 4.0 (/ 1 y) (/ x y))
27.0ms
(* (/ x y) z)

simplify107.0ms

Counts
74 → 74
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0248404
1954367
24828355
35001346
done5001346

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
pow1 cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 pow-prod-down associate-*l/
frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
76.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series577.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
181.0ms
(cbrt x)
184.0ms
(cbrt x)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify62.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04101005
12226677
25002546
done5002546

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b
(* x (/ z y))

rewrite95.0ms

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-*r*
10×add-exp-log add-cbrt-cube distribute-lft-out
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
18.0ms
(/ (+ x 4.0) y)
60.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
13.0ms
(* x (/ z y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
46.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
25.0ms
(* x (/ z y))

simplify48.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0409748
11644688
25001677
done5001677

prune272.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217
done2217

end0.0ms

sample556.0ms

Algorithm
intervals
Results
273.0ms10092×body80valid