Details

Time bar (total: 2.4s)

sample39.0ms

Algorithm
intervals
Results
12.0ms326×body80valid
11.0ms317×body80nan

simplify79.0ms

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: 26.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
26.1b
(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)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* x (sqrt (- (* y y) (* z z))))
29.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune114.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New60363
Fresh000
Picked101
Done000
Total61364

Merged error: 0.3b

Counts
64 → 3

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

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0.3b

Counts
3 → 3

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0.3b

Counts
3 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b
(sqrt (+ y z))
0.0b
(sqrt (- y z))
0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
25×add-sqr-sqrt
22×sqrt-prod
19×*-un-lft-identity
15×pow1
12×associate-*r/
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l*
associate-*r*
frac-times
flip3-- flip3-+ flip-- flip-+
pow-prod-down
sqrt-pow1 pow1/2 associate-*l/ prod-exp cbrt-unprod add-log-exp unswap-sqr
rem-sqrt-square *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
sqrt-unprod
Counts
4 → 100
Calls
4 calls:
15.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms
(sqrt (+ y z))
3.0ms
(sqrt (- y z))
11.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
39.0ms
(sqrt (+ y z))
67.0ms
(sqrt (- y z))
64.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0354729
11221687
25001676

prune208.0ms

Filtered
112 candidates to 80 candidates (71.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0.3b

Counts
115 → 3

regimes104.0ms

Accuracy

97.5% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 30.9b

bsearch99.0ms

Steps
ItersRangePoint
10
-3.6907714327771176e-206
-3.4323171933807757e-220
-3.4725540194385462e-220

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133
1143
2173
3173

end0.0ms

sample1.1s

Algorithm
intervals
Results
374.0ms10160×body80valid
355.0ms10107×body80nan

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