Details

Time bar (total: 11.2s)

sample89.0ms

Algorithm
intervals
Results
22.0ms327×body80valid
20.0ms313×body80nan

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
628610
772710
8332910
done500010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
23.1b
(sqrt (- (* y y) (* z z)))

rewrite105.0ms

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
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
67.0ms
(* x (sqrt (- (* y y) (* z z))))
16.0ms
(- (* y y) (* z z))
18.0ms
(sqrt (- (* y y) (* z z)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
145.0ms
(* x (sqrt (- (* y y) (* z z))))
64.0ms
(- (* y y) (* z z))
83.0ms
(sqrt (- (* y y) (* z z)))

simplify962.0ms

Counts
63 → 63
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
085765
1211697
2930615
done5001613

prune386.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune12.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

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

prune7.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
25×add-sqr-sqrt
22×sqrt-prod
19×*-un-lft-identity
15×pow1
12×associate-*r/
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l*
associate-*r*
frac-times
flip3-- flip3-+ flip-- flip-+
pow-prod-down
sqrt-pow1 pow1/2 associate-*l/ prod-exp cbrt-unprod add-log-exp unswap-sqr
rem-sqrt-square *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
sqrt-unprod
Counts
4 → 100
Calls
4 calls:
12.0ms
(sqrt (- y z))
96.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
12.0ms
(sqrt (+ y z))
75.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (- y z))
186.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
63.0ms
(sqrt (+ y z))
129.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.2s

Counts
112 → 112
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01581424
13651287
214351217
done50001199

prune769.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes948.0ms

bsearch116.0ms