Details

Time bar (total: 2.9s)

analyze676.0ms

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
10.0ms256×body80valid
3.0ms78×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
072013
172013

prune7.0ms

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×add-cube-cbrt *-un-lft-identity associate-*r*
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate--r+ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 48
Calls
3 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
8.0ms
(* (* y 4.0) (- (* z z) t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
15.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04982631
14982631

prune74.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 1.5b

Counts
58 → 4

localize12.0ms

Local error

Found 4 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))))
0.0b
(* 4.0 (* z z))
9.7b
(* y (* 4.0 (* z z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
11×add-log-exp
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×distribute-rgt-neg-out
2×diff-log associate-*r* unsub-neg sum-log *-commutative
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ associate--r- difference-of-squares unswap-sqr
Counts
4 → 68
Calls
4 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
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

series45.0ms

Counts
4 → 12
Calls
4 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))))
3.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05147799

prune89.0ms

Filtered
49 candidates to 80 candidates (-63.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh033
Picked011
Done000
Total78684

Merged error: 1.5b

Counts
84 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (* z z) (cbrt y))
7.7b
(* (* (cbrt y) (cbrt y)) (* 4.0 (* (* z z) (cbrt y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1 add-exp-log
27×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative unswap-sqr
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(* (* z z) (cbrt y))
14.0ms
(* (* (cbrt y) (cbrt y)) (* 4.0 (* (* z z) (cbrt y))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
14.0ms
(* (* z z) (cbrt y))
13.0ms
(* (* (cbrt y) (cbrt y)) (* 4.0 (* (* z z) (cbrt y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05084568

prune89.0ms

Filtered
47 candidates to 91 candidates (-93.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New88391
Fresh134
Picked101
Done011
Total90797

Merged error: 0.8b

Counts
97 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
7.7b
(* (* (cbrt y) (cbrt y)) (* 4.0 (* z (* (cbrt y) z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
26×add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (* (cbrt y) (cbrt y)) (* 4.0 (* z (* (cbrt y) z))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
15.0ms
(* (* (cbrt y) (cbrt y)) (* 4.0 (* z (* (cbrt y) z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05093558

prune61.0ms

Filtered
41 candidates to 79 candidates (-92.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done011
Total79786

Merged error: 0.8b

Counts
86 → 7

regimes546.0ms

Accuracy

82.3% (0.5b remaining)

Error of 2.3b against oracle of 1.8b and baseline of 4.5b

bsearch27.0ms

Steps
ItersRangePoint
9
-1.0142992443429235e-306
1.3364821871667885e-303
6.8873471163078e-311

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
048245
148245

end0.0ms

sample701.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
112.0ms2934×body80invalid

Profiling

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