Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms312×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: 1.3b

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))
3.0b
(* (/ x y) z)

rewrite97.0ms

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
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×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:
17.0ms
(/ (+ x 4.0) y)
58.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
17.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify46.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0399743
11422683
25001668
done5001668

prune262.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (+ x 4.0)) (- y))
0.0b
(- (/ (- (+ x 4.0)) (- y)) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
341×*-un-lft-identity
235×distribute-lft-neg-in distribute-rgt-neg-in
222×add-sqr-sqrt
217×add-cube-cbrt
124×fma-neg prod-diff
68×neg-mul-1
62×distribute-lft-out
13×associate-*l*
12×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube
5×pow1 add-log-exp
4×div-inv
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×cbrt-undiv neg-sub0 div-sub div-exp associate-*l/ prod-exp cbrt-unprod associate-/l/ distribute-neg-frac unswap-sqr
1×associate--l- sub-neg flip3-- frac-2neg flip3-+ diff-log distribute-frac-neg pow-prod-down clear-num *-commutative frac-sub flip-- flip-+
Counts
3 → 458
Calls
3 calls:
27.0ms
(/ (- (+ x 4.0)) (- y))
173.0ms
(- (/ (- (+ x 4.0)) (- y)) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series99.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- (+ x 4.0)) (- y))
45.0ms
(- (/ (- (+ x 4.0)) (- y)) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify104.0ms

Counts
467 → 467
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09124246
136093997
250013972
done50013972

prune910.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ x y) z)
10.2b
(cbrt (* (/ x y) z))
10.2b
(cbrt (* (/ x y) z))
10.2b
(cbrt (* (/ x y) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
14.0ms
(* (/ x y) z)
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))

series285.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ x y) z)
86.0ms
(cbrt (* (/ x y) z))
88.0ms
(cbrt (* (/ x y) z))
90.0ms
(cbrt (* (/ x y) z))

simplify58.0ms

Counts
82 → 82
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0222383
1730335
22840307
35001303
done5001303

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

10.2b
(cbrt (* (/ x y) z))
10.2b
(cbrt (* (/ x y) z))
10.2b
(cbrt (* (/ x y) z))
10.2b
(cbrt (* (/ x y) z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
6.0ms
(cbrt (* (/ x y) z))
8.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))
9.0ms
(cbrt (* (/ x y) z))

series332.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (* (/ x y) z))
83.0ms
(cbrt (* (/ x y) z))
79.0ms
(cbrt (* (/ x y) z))
87.0ms
(cbrt (* (/ x y) z))

simplify55.0ms

Counts
60 → 60
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
091332
1209304
2684284
32605252
45001252
done5001252

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

73.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch65.0ms

Steps
ItersRangePoint
6
8.890772630007361e-170
1.262523642290475e-168
3.117271429447084e-169
9
-1.1377744307121441e+18
-4906629045.550534
-183289315107.7915

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13413
23413
done3413

end0.0ms

sample557.0ms

Algorithm
intervals
Results
280.0ms10092×body80valid