Details

Time bar (total: 10.9s)

sample40.0ms

Algorithm
intervals
Results
11.0ms324×body80valid
10.0ms301×body80nan

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08203
115203
222203
339203
471203
5164203
6369203
7879203
83626203
done5000203

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
24.0b
(sqrt (- (* y y) (* z z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
*-un-lft-identity associate-*r* add-cube-cbrt
pow1
add-cbrt-cube add-exp-log add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- difference-of-squares
associate-*r/ unswap-sqr
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
24.0ms
(* x (sqrt (- (* y y) (* z z))))
13.0ms
(- (* y y) (* z z))
19.0ms
(sqrt (- (* y y) (* z z)))

series248.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* x (sqrt (- (* y y) (* z z))))
67.0ms
(- (* y y) (* z z))
73.0ms
(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
09417716
122215115
295615115
done500115075

prune401.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune13.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- y z))
0.0b
(sqrt (+ y z))
0.1b
(* x (sqrt (+ y z)))
0.2b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity sqrt-prod
18×sqrt-div
15×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
flip3-+ flip-+
expm1-log1p-u frac-times flip3-- associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
hypot-def
Counts
4 → 98
Calls
4 calls:
15.0ms
(sqrt (- y z))
7.0ms
(sqrt (+ y z))
19.0ms
(* x (sqrt (+ y z)))
59.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(sqrt (- y z))
68.0ms
(sqrt (+ y z))
79.0ms
(* x (sqrt (+ y z)))
178.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: done (1.7s)

IterNodesCost
017031519
143025163
2189424743
done500024293

prune691.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes947.0ms

bsearch37.0ms