Details

Time bar (total: 37.4s)

sample225.0ms

Algorithm
intervals
Results
22.0ms327×body80nan
19.0ms329×body80valid

simplify26.1s

Counts
1 → 1
Iterations
IterNodes
done5013
94313
81167
7372
6206
5132
461
336
221
114
08

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
20.7b
(sqrt (- (* y y) (* z z)))

rewrite291.0ms

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:
69.0ms
(* x (sqrt (- (* y y) (* z z))))
22.0ms
(- (* y y) (* z z))
197.0ms
(sqrt (- (* y y) (* z z)))

series330.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(* x (sqrt (- (* y y) (* z z))))
56.0ms
(- (* y y) (* z z))
81.0ms
(sqrt (- (* y y) (* z z)))

simplify4.7s

Counts
63 → 63
Iterations
IterNodes
done5032
32336
2545
1196
085

prune528.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* y y) (* z z))
2.6b
(- (* y y) (* z z))
20.7b
(sqrt (- (* y y) (* z z)))
20.7b
(sqrt (- (* y y) (* z z)))

rewrite84.0ms

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:
17.0ms
(- (* y y) (* z z))
16.0ms
(- (* y y) (* z z))
19.0ms
(sqrt (- (* y y) (* z z)))
30.0ms
(sqrt (- (* y y) (* z z)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* y y) (* z z))
66.0ms
(- (* y y) (* z z))
87.0ms
(sqrt (- (* y y) (* z z)))
84.0ms
(sqrt (- (* y y) (* z z)))

simplify2.8s

Counts
70 → 70
Iterations
IterNodes
done5006
31427
2331
1126
055

prune637.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune22.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.2s

bsearch44.0ms