Details

Time bar (total: 11.5s)

sample90.0ms

Algorithm
intervals
Results
37.0ms317×body80valid
28.0ms299×body80nan

simplify6.3s

Counts
1 → 1
Iterations
IterNodes
done5000
94530
81155
7370
6204
5132
461
336
221
114
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.8b
(- (* y y) (* z z))
25.8b
(sqrt (- (* y y) (* z z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×flip3-- associate-*l* insert-posit16 flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 57
Calls
3 calls:
30.0ms
(* x (sqrt (- (* y y) (* z z))))
15.0ms
(- (* y y) (* z z))
14.0ms
(sqrt (- (* y y) (* z z)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(* x (sqrt (- (* y y) (* z z))))
56.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5010
32242
2524
1197
088

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
25.8b
(sqrt (* (+ y z) (- y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-+ flip3-- flip-+ flip--
4×*-un-lft-identity add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
3×associate-*l*
2×sqrt-pow1 pow-prod-down sqrt-prod insert-posit16 add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
33.0ms
(* x (sqrt (* (+ y z) (- y z))))
9.0ms
(sqrt (* (+ y z) (- y z)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(* x (sqrt (* (+ y z) (- y z))))
96.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.0s

Counts
54 → 54
Iterations
IterNodes
done5024
33557
2762
1214
097

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes174.0ms

bsearch66.0ms