Details

Time bar (total: 1.5s)

sample45.0ms

Algorithm
intervals
Results
11.0ms317×body80valid
9.0ms272×body80nan

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
28.0b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

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:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* x (sqrt (- (* y y) (* z z))))
5.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0188364
1742340
23019337
35001337

prune173.0ms

Filtered
63 candidates to 46 candidates (27.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 0.1b

Counts
64 → 5

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune15.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.1b

Counts
5 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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/
sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
11.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0191329
1653323
22572319
35001319

prune117.0ms

Filtered
44 candidates to 29 candidates (34.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done022
Total44549

Merged error: 0.1b

Counts
49 → 5

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 0.1b

Counts
5 → 5

regimes800.0ms

bsearch17.0ms

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