Details

Time bar (total: 2.5s)

sample28.0ms

Algorithm
intervals
Results
11.0ms396×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
02479
12479

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
4.0ms
(- (* x x) (* (* y 4.0) z))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (* x x) (* (* y 4.0) z))

simplify45.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04905185
14905185

prune25.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
12.0ms
(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
26.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
29.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
26.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049171739
149171739

prune231.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh000
Picked101
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
30.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
26.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
27.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04987948
14987948

prune210.0ms

Filtered
52 candidates to 64 candidates (-23.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done011
Total64367

Merged error: 0b

Counts
67 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

2.9b
(sqrt (- (* x x) (* y (* 4.0 z))))
2.9b
(sqrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))
3.4b
(cbrt (- (* x x) (* y (* 4.0 z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
4.0ms
(sqrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(sqrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
4.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (- (* x x) (* y (* 4.0 z))))
15.0ms
(sqrt (- (* x x) (* y (* 4.0 z))))
28.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))
26.0ms
(cbrt (- (* x x) (* y (* 4.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05398936

prune194.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371

Merged error: 0b

Counts
71 → 3

regimes337.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0529
1529

end0.0ms

sample833.0ms

Algorithm
intervals
Results
363.0ms12342×body80valid

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