Details

Time bar (total: 6.1s)

sample40.0ms

Algorithm
intervals
Results
9.0ms237×body80valid
5.0ms30×body1280valid
3.0ms20×body640valid
2.0ms11×body2560valid
2.0ms19×body320valid
2.0ms22×body160valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (58.0ms)

IterNodesCost
0915
12213
2679
31617
46095
528635
done50015

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
11.0ms
(* y (- x z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* y (- x z))

simplify1.1s

Counts
29 → 29
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
052217
1114207
2299186
3840186
42307186
done5001186

prune28.0ms

Filtered
17 candidates to 29 candidates (-70.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330

Merged error: 0b

Counts
30 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
2.6b
(cbrt (* y (- x z)))
2.6b
(cbrt (* y (- x z)))
2.6b
(cbrt (* y (- x z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
5.0ms
(cbrt (* y (- x z)))
5.0ms
(cbrt (* y (- x z)))
5.0ms
(cbrt (* y (- x z)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
39.0ms
(cbrt (* y (- x z)))
38.0ms
(cbrt (* y (- x z)))
41.0ms
(cbrt (* y (- x z)))

simplify639.0ms

Counts
84 → 84
Iterations

Useful iterations: done (636.0ms)

IterNodesCost
01201198
12581090
2705984
31960910
done5001861

prune92.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0b

Counts
87 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.2b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.1b
(sqrt (* y (- x z)))
2.1b
(sqrt (* y (- x z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
flip3-- associate-*r* flip--
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
7.0ms
(* y (- x z))
15.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
6.0ms
(sqrt (* y (- x z)))
8.0ms
(sqrt (* y (- x z)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (- x z))
37.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
17.0ms
(sqrt (* y (- x z)))
17.0ms
(sqrt (* y (- x z)))

simplify881.0ms

Counts
121 → 121
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
01281385
12551051
2752954
32885925
done5000915

prune92.0ms

Filtered
69 candidates to 121 candidates (-75.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes132.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.1s

Algorithm
intervals
Results
286.0ms7145×body80valid
164.0ms938×body1280valid
112.0ms826×body640valid
50.0ms502×body320valid
44.0ms226×body2560valid
39.0ms566×body160valid

Profiling

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