Details

Time bar (total: 1.2s)

sample36.0ms

Algorithm
intervals
Results
11.0ms330×body80valid
10.0ms316×body80nan

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
25.0b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×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))
3.0ms
(sqrt (- (* y y) (* z z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune112.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.5b

Counts
64 → 4

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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.5b

Counts
4 → 4

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.5b

Counts
4 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-div
15×*-un-lft-identity associate-*r*
14×sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
9×add-cube-cbrt
5×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip-- add-log-exp
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
3.0ms
(sqrt (+ y z))
6.0ms
(* x (sqrt (+ y z)))
11.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(sqrt (+ y z))
81.0ms
(* x (sqrt (+ y z)))
112.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0394524
11730496
25002486

prune148.0ms

Filtered
81 candidates to 56 candidates (69.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done033
Total81485

Merged error: 0.5b

Counts
85 → 4

regimes244.0ms

bsearch46.0ms

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