Details

Time bar (total: 2.3s)

analyze536.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms52×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

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))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) (* z t))

series10.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04873141
14873141

prune26.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 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))))
1.3b
(sqrt (+ (* x y) (* z t)))
1.3b
(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×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
4.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
23.0ms
(sqrt (+ (* x y) (* z t)))
20.0ms
(sqrt (+ (* x y) (* z t)))

simplify32.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
055171320

prune84.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh011
Picked011
Done011
Total1094113

Merged error: 0.0b

Counts
113 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sqrt (+ (* x y) (* z t))) 3)
1.3b
(sqrt (+ (* x y) (* z t)))
1.3b
(sqrt (+ (* x y) (* z t)))
7.6b
(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)
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))
6.0ms
(cbrt (pow (sqrt (+ (* x y) (* z t))) 3))

series106.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow (sqrt (+ (* x y) (* z t))) 3)
20.0ms
(sqrt (+ (* x y) (* z t)))
20.0ms
(sqrt (+ (* x y) (* z t)))
21.0ms
(cbrt (pow (sqrt (+ (* x y) (* z t))) 3))

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050231328

prune98.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done022
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

4.9b
(* z (* t (- (* z t) (* x y))))
5.1b
(* x (* x (* y y)))
9.4b
(* x (* y y))
37.0b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log *-un-lft-identity add-cbrt-cube
23×pow1
18×add-sqr-sqrt
17×add-cube-cbrt
15×times-frac
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
5×associate-/l*
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ sum-cubes distribute-lft-out add-log-exp
3×associate-*r* associate-/r* *-commutative
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
7.0ms
(* z (* t (- (* z t) (* x y))))
7.0ms
(* x (* x (* y y)))
5.0ms
(* x (* y y))
15.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* z (* t (- (* z t) (* x y))))
7.0ms
(* x (* x (* y y)))
7.0ms
(* x (* y y))
51.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

simplify34.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050932389

prune127.0ms

Filtered
69 candidates to 115 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh000
Picked101
Done033
Total1154119

Merged error: 0b

Counts
119 → 4

regimes389.0ms

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
0107
1107

end0.0ms

sample464.0ms

Algorithm
intervals
Results
208.0ms8000×body80valid
37.0ms1408×body80invalid

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