Details

Time bar (total: 10.1s)

sample31.0ms

Algorithm
intervals
Results
8.0ms312×body80valid
7.0ms271×body80nan

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47010
512710
623310
745510
8188910
done500010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.6b
(- (* y y) (* z z))
24.1b
(sqrt (- (* y y) (* z z)))

rewrite22.0ms

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:
13.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* x (sqrt (- (* y y) (* z z))))
33.0ms
(- (* y y) (* z z))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
094839
1201758
2569676
32169676
done5001675

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (+ (fma y y (- (* z z))) (* (- z z) z))))
2.0b
(fma y y (- (* z z)))
24.1b
(sqrt (+ (fma y y (- (* z z))) (* (- z z) z)))

rewrite14.0ms

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
sqrt-div
expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
flip3-+ associate-*r/ flip-+ unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef
Counts
3 → 53
Calls
3 calls:
9.0ms
(* x (sqrt (+ (fma y y (- (* z z))) (* (- z z) z))))
0.0ms
(fma y y (- (* z z)))
3.0ms
(sqrt (+ (fma y y (- (* z z))) (* (- z z) z)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* x (sqrt (+ (fma y y (- (* z z))) (* (- z z) z))))
44.0ms
(fma y y (- (* z z)))
65.0ms
(sqrt (+ (fma y y (- (* z z))) (* (- z z) z)))

simplify1.9s

Counts
62 → 62
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
0881079
1180861
2428707
31144596
done5000596

prune185.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes130.0ms

bsearch10.0ms