Details

Time bar (total: 4.5s)

sample49.0ms

Algorithm
intervals
Results
12.0ms332×body80valid
11.0ms344×body80nan

simplify1.0s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.8b
(- (* y y) (* z z))
25.6b
(sqrt (- (* y y) (* z z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
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:
65.0ms
(* x (sqrt (- (* y y) (* z z))))
12.0ms
(- (* y y) (* z z))
16.0ms
(sqrt (- (* y y) (* z z)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* x (sqrt (- (* y y) (* z z))))
53.0ms
(- (* y y) (* z z))
70.0ms
(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts
63 → 63

prune184.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify11.0ms

Counts
0 → 0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify11.0ms

Counts
0 → 0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-div
15×*-un-lft-identity associate-*r*
14×sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
add-cube-cbrt
flip3-+ flip-+
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
flip3-- flip-- add-log-exp
associate-*l/ *-commutative distribute-lft-out unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
12.0ms
(sqrt (+ y z))
73.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))
26.0ms
(* x (sqrt (+ y z)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(sqrt (+ y z))
149.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))
98.0ms
(* x (sqrt (+ y z)))

simplify654.0ms

Counts
81 → 81

prune230.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.2b

regimes372.0ms

bsearch10.0ms