Details

Time bar (total: 12.9s)

sample36.0ms

Algorithm
intervals
Results
8.0ms326×body80valid
7.0ms302×body80nan

simplify8.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22210
33910
47110
516410
627510
751810
8191210
done500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
25.9b
(sqrt (- (* y y) (* z z)))

rewrite52.0ms

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
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
30.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(* x (sqrt (- (* y y) (* z z))))
45.0ms
(- (* y y) (* z z))
60.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
094839
1199758
2491676
31629676
done5002671

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×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
expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
associate-*l/ *-commutative distribute-lft-out unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 hypot-def distribute-lft-out-- difference-of-squares
Counts
3 → 79
Calls
3 calls:
8.0ms
(sqrt (+ y z))
22.0ms
(* x (sqrt (+ y z)))
51.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(sqrt (+ y z))
74.0ms
(* x (sqrt (+ y z)))
116.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify2.3s

Counts
88 → 88
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01651092
1412970
21152899
33858870
done5000864

prune206.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes131.0ms

bsearch34.0ms