Details

Time bar (total: 6.3s)

sample35.0ms

Algorithm
intervals
Results
10.0ms323×body80valid
9.0ms351×body80nan

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11410
22110
33610
46110
510210
616410
733210
8162110
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×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:
15.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(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)))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
085765
1187697
2605613
32538613
done5001613

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* y y) (* z z))
1.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
3.0ms
(- (* y y) (* z z))
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* y y) (* z z))
36.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))
51.0ms
(sqrt (- (* y y) (* z z)))

simplify676.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
055808
1122744
2381640
31520640
done5000640

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

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: 0b

localize2.0ms

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: 0b

regimes247.0ms

bsearch8.0ms