Details

Time bar (total: 1.4s)

sample39.0ms

Algorithm
intervals
Results
8.0ms332×body80valid
8.0ms341×body80nan

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
26.5b
(sqrt (- (* y y) (* z z)))

rewrite52.0ms

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:
31.0ms
(* x (sqrt (- (* y y) (* z z))))
9.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* x (sqrt (- (* y y) (* z z))))
39.0ms
(- (* y y) (* z z))
50.0ms
(sqrt (- (* y y) (* z z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune183.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (fma y y (- (* z z)))))
3.0b
(fma y y (- (* z z)))
26.5b
(sqrt (fma y y (- (* z z))))

rewrite13.0ms

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:
10.0ms
(* x (sqrt (fma y y (- (* z z)))))
0.0ms
(fma y y (- (* z z)))
2.0ms
(sqrt (fma y y (- (* z z))))

series195.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* x (sqrt (fma y y (- (* z z)))))
47.0ms
(fma y y (- (* z z)))
58.0ms
(sqrt (fma y y (- (* z z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0118309
1396288
21682285
35001285

prune137.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes292.0ms

bsearch30.0ms