Details

Time bar (total: 13.9s)

sample35.0ms

Algorithm
intervals
Results
8.0ms321×body80valid
8.0ms327×body80nan

simplify9.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
619110
737310
8154110
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
23.1b
(sqrt (- (* y y) (* z z)))

rewrite47.0ms

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:
29.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* x (sqrt (- (* y y) (* z z))))
32.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify739.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
085765
1185697
2443613
31486613
done5001613

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize2.0ms

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-div
15×*-un-lft-identity associate-*r*
14×sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
add-cube-cbrt
flip3-+ flip-+
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- add-log-exp
associate-*l/ *-commutative distribute-lft-out unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
7.0ms
(sqrt (+ y z))
23.0ms
(* x (sqrt (+ y z)))
49.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(sqrt (+ y z))
67.0ms
(* x (sqrt (+ y z)))
103.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify2.3s

Counts
81 → 81
Iterations

Useful iterations: 3 (978.0ms)

IterNodesCost
01591044
1391927
21084861
33588832
done5000832

prune173.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes295.0ms

bsearch19.0ms