Details

Time bar (total: 1.5s)

analyze354.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms64×body80nan
1.0ms30×body80invalid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
24.1b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

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:
6.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
3.0ms
(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)))

simplify73.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0188364
1742340
23019337
35001337

prune76.0ms

Filtered
46 candidates to 63 candidates (-37.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 0.2b

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

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.2b

Counts
5 → 5

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune8.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.2b

Counts
5 → 5

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)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-div
15×*-un-lft-identity associate-*r* sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
add-cube-cbrt
frac-times flip3-- flip3-+ associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod flip-+
add-log-exp
associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 73
Calls
3 calls:
3.0ms
(sqrt (- y z))
6.0ms
(* x (sqrt (+ y z)))
13.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(sqrt (- y z))
13.0ms
(* x (sqrt (+ y z)))
21.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0397532
11727504
25001494

prune72.0ms

Filtered
57 candidates to 82 candidates (-43.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done033
Total82587

Merged error: 0.2b

Counts
87 → 5

regimes540.0ms

bsearch118.0ms

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