Details

Time bar (total: 7.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (+ (* x x) (* y y)) (* z z))
35.2b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 fma-def sum-log
add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u
+-commutative sqrt-div
rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def
Counts
3 → 50
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
14.0ms
(+ (+ (* x x) (* y y)) (* z z))
16.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* x x) (* y y))
41.0ms
(+ (+ (* x x) (* y y)) (* z z))
115.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.6s

Counts
59 → 59
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
080808
1224673
2840586
33535574
done5000574

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(hypot (sqrt (+ (* x x) (* y y))) z)
28.5b
(sqrt (+ (* x x) (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u
flip3-+ sqrt-div flip-+
+-commutative rem-sqrt-square hypot-udef fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
3 → 42
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
0.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms
(sqrt (+ (* x x) (* y y)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
182.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
44.0ms
(sqrt (+ (* x x) (* y y)))

simplify1.2s

Counts
51 → 51
Iterations

Useful iterations: 3 (318.0ms)

IterNodesCost
065571
1151371
2513312
31868308
done5001308

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot x y)
0.0b
(hypot (hypot x y) z)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(hypot x y)
0.0ms
(hypot (hypot x y) z)

series266.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(hypot x y)
214.0ms
(hypot (hypot x y) z)

simplify3.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
030148
138144
243128
350128
459128
576128
6115128
7229128
8641128
92487128
done5001128

prune89.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes135.0ms

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
055
done55

end0.0ms

sample395.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid