Details

Time bar (total: 3.9s)

analyze692.0ms

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
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms86×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* z z) t)
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
22.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292385
11348342
25001337

prune89.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56763
Fresh000
Picked101
Done000
Total57764

Merged error: 2.6b

Counts
64 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
0.0b
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
10.5b
(* (* y 4.0) (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt distribute-rgt-neg-out
3×add-cube-cbrt *-un-lft-identity
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate-*l* *-commutative flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
3 → 53
Calls
3 calls:
8.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms
(* (* y 4.0) (* z z))

series42.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
14.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms
(* (* y 4.0) (* z z))

simplify57.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0314491
11440398
25001390

prune93.0ms

Filtered
38 candidates to 62 candidates (-63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh336
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
0.0b
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.2b
(* (* (* y 4.0) z) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out
3×associate-*r*
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*l* *-commutative flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 51
Calls
3 calls:
9.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
8.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms
(* (* (* y 4.0) z) z)

series52.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
17.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
8.0ms
(* (* (* y 4.0) z) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0323488
11585427
25001382

prune98.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh213
Picked011
Done011
Total59665

Merged error: 0.0b

Counts
65 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
18.1b
(cbrt (* (* (* y 4.0) z) z))
18.1b
(cbrt (* (* (* y 4.0) z) z))
18.1b
(cbrt (* (* (* y 4.0) z) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
6.0ms
(cbrt (* (* (* y 4.0) z) z))
6.0ms
(cbrt (* (* (* y 4.0) z) z))
9.0ms
(cbrt (* (* (* y 4.0) z) z))

series103.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
24.0ms
(cbrt (* (* (* y 4.0) z) z))
24.0ms
(cbrt (* (* (* y 4.0) z) z))
24.0ms
(cbrt (* (* (* y 4.0) z) z))

simplify111.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0222561
1730496
23728429
35001423

prune143.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh033
Picked101
Done022
Total70676

Merged error: 0.0b

Counts
76 → 6

regimes464.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1249
2319
3319

end0.0ms

analyze736.0ms

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
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14

sample815.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid
138.0ms2970×body80invalid

Profiling

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