Details

Time bar (total: 9.9s)

sample53.0ms

Algorithm
intervals
Results
14.0ms324×body80valid
13.0ms301×body80nan

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
83626
7879
6369
5164
471
339
222
115
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
24.0b
(sqrt (- (* y y) (* z z)))

rewrite491.0ms

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×expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
465.0ms
(* x (sqrt (- (* y y) (* z z))))
7.0ms
(- (* y y) (* z z))
10.0ms
(sqrt (- (* y y) (* z z)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(* x (sqrt (- (* y y) (* z z))))
64.0ms
(- (* y y) (* z z))
100.0ms
(sqrt (- (* y y) (* z z)))

simplify809.0ms

Counts
71 → 71
Iterations
IterNodes
done5001
2956
1222
094

prune475.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune24.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity sqrt-prod
18×sqrt-div
15×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
5×flip3-+ flip-+
4×expm1-log1p-u frac-times flip3-- associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
1×hypot-def
Counts
4 → 98
Calls
4 calls:
14.0ms
(sqrt (+ z y))
18.0ms
(sqrt (- y z))
21.0ms
(* x (sqrt (+ z y)))
67.0ms
(* (* x (sqrt (+ z y))) (sqrt (- y z)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (+ z y))
98.0ms
(sqrt (- y z))
113.0ms
(* x (sqrt (+ z y)))
164.0ms
(* (* x (sqrt (+ z y))) (sqrt (- y z)))

simplify1.5s

Counts
110 → 110
Iterations
IterNodes
done5000
22289
1502
0198

prune569.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize7.0ms

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

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes782.0ms

bsearch26.0ms