Details

Time bar (total: 4.0s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 14.071842%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
1.0ms27×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

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) (* z t))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(- (* x y) (* z t))

simplify71.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune24.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
0.8b
(sqrt (- (* x y) (* z t)))
0.8b
(sqrt (- (* x y) (* z t)))

rewrite25.0ms

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) (* z t))
10.0ms
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
3.0ms
(sqrt (- (* x y) (* z t)))
5.0ms
(sqrt (- (* x y) (* z t)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* x y) (* z t))
11.0ms
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
22.0ms
(sqrt (- (* x y) (* z t)))
22.0ms
(sqrt (- (* x y) (* z t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0243782
1940724
25002702

prune87.0ms

Filtered
66 candidates to 111 candidates (-68.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh011
Picked011
Done011
Total1104114

Merged error: 0b

Counts
114 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
2.4b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
28.8b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×associate-/r*
2×pow2 flip3-- swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
11.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
7.0ms
(* (* x y) (* x y))
30.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
31.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0419968
12371848
25002847

prune83.0ms

Filtered
67 candidates to 129 candidates (-92.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done022
Total1294133

Merged error: 0b

Counts
133 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (- (* x y) (* z t))) 3)
0.8b
(sqrt (- (* x y) (* z t)))
0.8b
(sqrt (- (* x y) (* z t)))
9.3b
(cbrt (pow (sqrt (- (* x y) (* z t))) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1 sqrt-div
5×add-exp-log add-cbrt-cube
4×cube-div flip3-- flip-- add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square cbrt-div unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
5.0ms
(pow (sqrt (- (* x y) (* z t))) 3)
4.0ms
(sqrt (- (* x y) (* z t)))
4.0ms
(sqrt (- (* x y) (* z t)))
6.0ms
(cbrt (pow (sqrt (- (* x y) (* z t))) 3))

series113.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(pow (sqrt (- (* x y) (* z t))) 3)
23.0ms
(sqrt (- (* x y) (* z t)))
25.0ms
(sqrt (- (* x y) (* z t)))
22.0ms
(cbrt (pow (sqrt (- (* x y) (* z t))) 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280736
11035713
25001700

prune99.0ms

Filtered
63 candidates to 105 candidates (-66.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done033
Total1054109

Merged error: 0b

Counts
109 → 4

regimes411.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 14.071842%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
226.0ms8000×body80valid
25.0ms939×body80invalid

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