Details

Time bar (total: 7.1s)

sample35.0ms

Algorithm
intervals
Results
10.0ms326×body80valid
9.0ms311×body80nan

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47010
512710
623310
745510
8187710
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
22.4b
(sqrt (- (* y y) (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* x (sqrt (- (* y y) (* z z))))
33.0ms
(- (* y y) (* z z))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
094839
1201758
2656676
32730676
done5000675

prune161.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (fma y y (- (* z z)))))
3.3b
(fma y y (- (* z z)))
22.4b
(sqrt (fma y y (- (* z z))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity sqrt-prod
pow1 associate-*r*
add-exp-log add-cbrt-cube
expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef
Counts
3 → 49
Calls
3 calls:
5.0ms
(* x (sqrt (fma y y (- (* z z)))))
0.0ms
(fma y y (- (* z z)))
1.0ms
(sqrt (fma y y (- (* z z))))

series171.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* x (sqrt (fma y y (- (* z z)))))
40.0ms
(fma y y (- (* z z)))
53.0ms
(sqrt (fma y y (- (* z z))))

simplify895.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
066639
1117580
2319540
31306540
done5000540

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize2.0ms

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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

bsearch26.0ms