Details

Time bar (total: 3.0s)

analyze646.0ms

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

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms108×body80invalid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
072013
172013

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
0.0b
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
6.4b
(* y (* 4.0 (- t (* z z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×sub-neg
8×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
7×add-log-exp
5×add-sqr-sqrt
4×add-cube-cbrt associate-+r+ *-un-lft-identity associate-*r/
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip--
1×+-commutative flip3-+ diff-log associate-*r* sum-log *-commutative flip-+ difference-of-squares
Counts
3 → 51
Calls
3 calls:
3.0ms
(- t (* z z))
5.0ms
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
6.0ms
(* y (* 4.0 (- t (* z z))))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* z z))
22.0ms
(+ (* x x) (* y (* 4.0 (- t (* z z)))))
17.0ms
(* y (* 4.0 (- t (* z z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04979661
14979661

prune113.0ms

Filtered
41 candidates to 60 candidates (-46.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh011
Picked101
Done000
Total53962

Merged error: 5.6b

Counts
62 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z)))))
0.0b
(* 4.0 (* z (neg z)))
0.0b
(+ (* x x) (+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z))))))
10.1b
(* y (* 4.0 (* z (neg z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
11×distribute-rgt-neg-out add-log-exp
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
4×sum-log
2×+-commutative flip3-+ associate-*r* unsub-neg *-commutative flip-+
1×associate-+r- associate-+r+ distribute-lft-out
Counts
4 → 68
Calls
4 calls:
6.0ms
(+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z)))))
5.0ms
(* 4.0 (* z (neg z)))
8.0ms
(+ (* x x) (+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z))))))
7.0ms
(* y (* 4.0 (* z (neg z))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z)))))
3.0ms
(* 4.0 (* z (neg z)))
22.0ms
(+ (* x x) (+ (* y (* 4.0 t)) (* y (* 4.0 (* z (neg z))))))
7.0ms
(* y (* 4.0 (* z (neg z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04958827
14958827

prune126.0ms

Filtered
48 candidates to 80 candidates (-66.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New77380
Fresh178
Picked011
Done000
Total781189

Merged error: 5.6b

Counts
89 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b
(* (* 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
(- (* z z) t)
4.0ms
(- (* 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))

simplify48.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
06032631

prune98.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh459
Picked101
Done011
Total60868

Merged error: 1.7b

Counts
68 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y (* 4.0 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 x) (* y (* 4.0 t)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (* x x) (* y (* 4.0 t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05113173

prune21.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh066
Picked011
Done011
Total13922

Merged error: 1.7b

Counts
22 → 9

regimes671.0ms

Accuracy

77.9% (0.8b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 6.0b

bsearch68.0ms

Steps
ItersRangePoint
9
3.034104294076842e+127
1.4022134083683595e+135
1.3840931885894595e+135
9
-6.422648254178909e+158
-3.393072754993768e+152
-6.6894345510320144e+153

simplify10.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
064843
164843

end0.0ms

sample725.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid
115.0ms2977×body80invalid

Profiling

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