Details

Time bar (total: 1.5s)

analyze366.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms63×body80nan
1.0ms25×body80invalid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
23.6b
(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))
4.0ms
(sqrt (- (* y y) (* z z)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* x (sqrt (- (* y y) (* z z))))
5.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0188364
1742340
23019337
35001337

prune85.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58563
Fresh000
Picked101
Done000
Total59564

Merged error: 0.0b

Counts
64 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) (- y z))
0.0b
(* x (sqrt (* (+ y z) (- y z))))
23.6b
(sqrt (* (+ y z) (- y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
14×associate-*r/
13×add-sqr-sqrt
12×frac-times
11×*-un-lft-identity
10×pow1
flip3-- flip3-+ associate-*r* flip-- flip-+
add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*l/
pow-prod-down add-log-exp
distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 prod-exp sqrt-prod *-commutative cbrt-unprod unswap-sqr
pow1/2 distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 79
Calls
3 calls:
8.0ms
(* (+ y z) (- y z))
10.0ms
(* x (sqrt (* (+ y z) (- y z))))
7.0ms
(sqrt (* (+ y z) (- y z)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (+ y z) (- y z))
17.0ms
(* x (sqrt (* (+ y z) (- y z))))
8.0ms
(sqrt (* (+ y z) (- y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0300543
11444516
25002514

prune103.0ms

Filtered
66 candidates to 88 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh044
Picked011
Done000
Total88593

Merged error: 0.0b

Counts
93 → 5

localize4.0ms

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

prune9.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.0b

Counts
5 → 5

localize2.0ms

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.0b

Counts
5 → 5

regimes602.0ms

bsearch21.0ms

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