Details

Time bar (total: 4.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify161.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
38018
413318
518718
621518
721918
done21918

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* y 4.0) y))
5.1b
(- (* x x) (* (* y 4.0) y))
32.7b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num fma-udef div-inv
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma x x (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma x x (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
71.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.8s

Counts
67 → 67
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0941321
12261289
28101165
336881163
done50001161

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune10.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune10.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* (* y 4.0) y))
0.0b
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
23.8b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
27.1b
(/ (* x x) (fma x x (* (* y 4.0) y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×prod-diff
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
19×div-inv
18×add-exp-log add-cbrt-cube
fma-neg
associate-/r* add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
frac-2neg clear-num associate-/l* difference-of-squares
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef distribute-lft-out-- sub-div
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma x x (* (* y 4.0) y))
12.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
7.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
4.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma x x (* (* y 4.0) y))
86.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
55.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
62.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))

simplify1.1s

Counts
146 → 146
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02107157
15215979
219034829
done50004815

prune271.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

regimes134.0ms

Accuracy

49.7% (15.8b remaining)

Error of 16.2b against oracle of 0.4b and baseline of 31.8b

bsearch186.0ms

Steps
ItersRangePoint
7
5.426223660363203e+132
1.380034572068788e+134
8.417597582089843e+133
7
5.703303605228952e-143
8.351307157290986e-141
4.22472559063545e-142
7
-1.4191042175333267e-05
-5.670122129476186e-07
-6.453149043632784e-07
9
-2.6152441787928667e+60
-2.388817010610718e+54
-2.5837508693414465e+60
5
-1.8857580818171304e+129
-4.856391498047927e+128
-4.9624802158885046e+128
6
-2.655166660249528e+212
-6.079349842079396e+211
-2.627120459465085e+212
6
-2.5562774200050244e+255
-2.1915083921473645e+254
-2.2235268531892296e+254

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03891
14391
done4391

end0.0ms

sample342.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid