Details

Time bar (total: 1.2s)

sample42.0ms

Algorithm
intervals
Results
13.0ms374×body80nan
11.0ms334×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
26.1b
(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))
4.0ms
(sqrt (- (* y y) (* z z)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
31.0ms
(- (* y y) (* z z))
51.0ms
(sqrt (- (* y y) (* z z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune124.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57663
Fresh000
Picked101
Done000
Total58664

Merged error: 0.2b

Counts
64 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
26.1b
(sqrt (* (+ y z) (- y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
4×add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l/ add-cbrt-cube
3×associate-*l*
2×sqrt-pow1 pow-prod-down sqrt-prod add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* x (sqrt (* (+ y z) (- y z))))
7.0ms
(sqrt (* (+ y z) (- y z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* x (sqrt (* (+ y z) (- y z))))
62.0ms
(sqrt (* (+ y z) (- y z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0204342
1891329
23716329
35001329

prune109.0ms

Filtered
52 candidates to 40 candidates (76.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh055
Picked011
Done000
Total52658

Merged error: 0.2b

Counts
58 → 6

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 (2.0ms)

IterNodesCost
000

prune7.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done011
Total066

Merged error: 0.2b

Counts
6 → 6

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done022
Total066

Merged error: 0.2b

Counts
6 → 6

regimes301.0ms

bsearch14.0ms

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