Details

Time bar (total: 7.8s)

sample26.0ms

Algorithm
intervals
Results
11.0ms468×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
286
done86

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 14
Calls
1 calls:
9.0ms
(+ (* x x) (* y y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (* x x) (* y y))

simplify615.0ms

Counts
17 → 17
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
032182
1125153
2730124
done5000124

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

2.3b
(- (pow x 4) (pow y 4))
32.3b
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
93×unpow-prod-down
76×*-un-lft-identity
69×difference-of-squares
56×times-frac
52×add-cube-cbrt
51×sqr-pow
49×prod-diff
14×associate-/l*
12×distribute-lft-out--
fma-neg
add-exp-log associate-/r* add-cbrt-cube add-log-exp
flip3-- flip--
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 174
Calls
2 calls:
24.0ms
(- (pow x 4) (pow y 4))
68.0ms
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (pow x 4) (pow y 4))
81.0ms
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

simplify2.8s

Counts
180 → 180
Iterations

Useful iterations: 2 (727.0ms)

IterNodesCost
03024944
17134040
240213570
done50003570

prune419.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b
(pow (sqrt x) 4)
0.3b
(pow (sqrt x) 4)
3.6b
(/ (- (pow (sqrt x) 4) (pow y 2)) (- (* x x) (* y y)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
135×add-sqr-sqrt
101×difference-of-squares
80×times-frac
72×unpow-prod-down
45×*-un-lft-identity
42×sqr-pow
35×add-cube-cbrt
26×sqrt-prod
20×associate-/l* unpow2
pow1 add-exp-log
pow-unpow pow-pow
add-cbrt-cube distribute-lft-out--
associate-/r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-to-exp flip3-- sqrt-pow1 pow1/2 pow-exp associate-/r/ sqrt-pow2 flip-- associate-/l/
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 173
Calls
3 calls:
4.0ms
(pow (sqrt x) 4)
4.0ms
(pow (sqrt x) 4)
94.0ms
(/ (- (pow (sqrt x) 4) (pow y 2)) (- (* x x) (* y y)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(pow (sqrt x) 4)
46.0ms
(pow (sqrt x) 4)
74.0ms
(/ (- (pow (sqrt x) 4) (pow y 2)) (- (* x x) (* y y)))

simplify1.6s

Counts
182 → 182
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02974100
17573820
231043465
done50012805

prune554.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample962.0ms

Algorithm
intervals
Results
462.0ms14168×body80valid