Details

Time bar (total: 1.8s)

sample19.0ms

Algorithm
intervals
Results
7.0ms293×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1313
2563
3623
4623

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
3.0ms
(- x (* (* y 4.0) z))

series9.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08379
128872
2150772
3500172

prune26.0ms

Filtered
12 candidates to 15 candidates (-25.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 4.0) z))
0.1b
(sqrt (- x (* (* y 4.0) z)))
0.1b
(sqrt (- x (* (* y 4.0) z)))
0.3b
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- x (* (* y 4.0) z))
3.0ms
(sqrt (- x (* (* y 4.0) z)))
3.0ms
(sqrt (- x (* (* y 4.0) z)))
10.0ms
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* (* y 4.0) z))
24.0ms
(sqrt (- x (* (* y 4.0) z)))
22.0ms
(sqrt (- x (* (* y 4.0) z)))
14.0ms
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0274791
11167733
25001713

prune144.0ms

Filtered
68 candidates to 111 candidates (-63.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh000
Picked101
Done011
Total1112113

Merged error: 0.0b

Counts
113 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- x (* (* y 4.0) z))))
0.1b
(sqrt (sqrt (- x (* (* y 4.0) z))))
0.2b
(* (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3) (sqrt (sqrt (- x (* (* y 4.0) z)))))
0.4b
(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
36×sqrt-div
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×flip3-- associate-*r* flip--
8×cube-div
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
3.0ms
(sqrt (sqrt (- x (* (* y 4.0) z))))
3.0ms
(sqrt (sqrt (- x (* (* y 4.0) z))))
17.0ms
(* (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3) (sqrt (sqrt (- x (* (* y 4.0) z)))))
6.0ms
(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

series178.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (sqrt (- x (* (* y 4.0) z))))
39.0ms
(sqrt (sqrt (- x (* (* y 4.0) z))))
14.0ms
(* (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3) (sqrt (sqrt (- x (* (* y 4.0) z)))))
88.0ms
(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

simplify95.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05201872
123511626
250011434

prune264.0ms

Filtered
92 candidates to 175 candidates (-90.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done011
Total1752177

Merged error: 0.0b

Counts
177 → 2

regimes260.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample473.0ms

Algorithm
intervals
Results
222.0ms9166×body80valid

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