Details

Time bar (total: 23.7s)

sample87.0ms

Algorithm
intervals
Results
22.0ms323×body80valid
22.0ms331×body80nan

simplify15.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47110
516410
627510
751810
8191210
done500110

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize19.0ms

Local error

Found 2 expressions with local error:

1.6b
(- (* y y) (* z z))
18.1b
(sqrt (- (* y y) (* z z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 35
Calls
2 calls:
19.0ms
(- (* y y) (* z z))
35.0ms
(sqrt (- (* y y) (* z z)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (* y y) (* z z))
103.0ms
(sqrt (- (* y y) (* z z)))

simplify1.7s

Counts
41 → 41
Iterations

Useful iterations: done (1.7s)

IterNodesCost
062456
1132412
2347361
31112361
done5001356

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×sqrt-prod
12×sqrt-div
*-un-lft-identity
associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
add-exp-log flip3-- flip3-+ pow-prod-down add-cbrt-cube flip-- flip-+
sqrt-pow1 pow1/2 associate-*r/ associate-*l/
expm1-log1p-u sqrt-unprod prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 43
Calls
1 calls:
70.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify5.2s

Counts
46 → 46
Iterations

Useful iterations: 4 (3.4s)

IterNodesCost
097640
1200578
2513563
31294561
43314558
done5001558

prune173.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes417.0ms

bsearch190.0ms