Details

Time bar (total: 9.1s)

sample71.0ms

Algorithm
intervals
Results
19.0ms325×body80valid
18.0ms313×body80nan

simplify4.3s

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: 23.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
23.0b
(sqrt (- (* y y) (* z z)))

rewrite48.0ms

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:
26.0ms
(* x (sqrt (- (* y y) (* z z))))
7.0ms
(- (* y y) (* z z))
13.0ms
(sqrt (- (* y y) (* z z)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(* x (sqrt (- (* y y) (* z z))))
57.0ms
(- (* y y) (* z z))
75.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done5001
2956
1222
094

prune404.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

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

prune15.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ y z))
0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
22×add-sqr-sqrt
17×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-cbrt-cube associate-*l* add-exp-log
9×associate-*r* add-cube-cbrt
8×frac-times
7×flip3-+ flip-+
6×flip3-- pow-prod-down flip--
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
2×*-commutative distribute-lft-out
1×rem-sqrt-square sqrt-unprod hypot-def distribute-lft-out-- difference-of-squares
Counts
3 → 90
Calls
3 calls:
13.0ms
(sqrt (+ y z))
86.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
46.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(sqrt (+ y z))
162.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
109.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5001
21517
1388
0163

prune464.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize5.0ms

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: 0b

regimes738.0ms

bsearch20.0ms