Details

Time bar (total: 3.6s)

analyze682.0ms

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

sample47.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

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: 6.6b

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)))
6.2b
(* (* y 4.0) (- (* z z) t))

rewrite19.0ms

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:
6.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
21.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04982631
14982631

prune85.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 3.7b

Counts
58 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
0.0b
(* 4.0 (* z z))
10.2b
(* y (* 4.0 (* z z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
7×add-sqr-sqrt
6×associate-*l*
5×add-cube-cbrt *-un-lft-identity
2×diff-log associate-*r* *-commutative distribute-rgt-neg-out
1×sub-neg flip3-- unsub-neg sum-log flip-- associate--r+ associate--r- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
10.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
5.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
3.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

simplify28.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04960618
14960618

prune76.0ms

Filtered
36 candidates to 64 candidates (-77.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh145
Picked011
Done000
Total64670

Merged error: 3.7b

Counts
70 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* 4.0 (sqrt (- (* z z) t))))
0.2b
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.1b
(sqrt (- (* z z) t))
6.1b
(sqrt (- (* z z) t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div associate-*r/ add-cbrt-cube
14×add-sqr-sqrt
12×sqrt-prod
9×add-cube-cbrt flip3-- *-un-lft-identity pow-prod-down prod-exp flip-- cbrt-unprod
8×associate-*r*
4×frac-times associate-*l* add-log-exp
3×difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
Counts
4 → 85
Calls
4 calls:
9.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
16.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series42.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
13.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.0ms
(sqrt (- (* z z) t))
6.0ms
(sqrt (- (* z z) t))

simplify41.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051171084

prune113.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done011
Total976103

Merged error: 3.7b

Counts
103 → 6

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (cbrt (* (pow z 6) (pow (* y 4.0) 3))) (* y (* 4.0 (neg t)))))
21.4b
(* (pow z 6) (pow (* y 4.0) 3))
25.7b
(cbrt (* (pow z 6) (pow (* y 4.0) 3)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
15×prod-exp
14×add-sqr-sqrt
10×pow-exp
8×associate-*r* add-log-exp
7×pow-to-exp associate-*l* sqr-pow
6×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
5×add-cbrt-cube
3×pow1
2×diff-log distribute-rgt-neg-out
1×cbrt-prod cube-mult sub-neg flip3-- pow1/3 unpow3 cube-prod unsub-neg sum-log *-commutative flip-- cbrt-unprod associate--r+ associate--r- difference-of-squares
Counts
3 → 66
Calls
3 calls:
6.0ms
(- (* x x) (+ (cbrt (* (pow z 6) (pow (* y 4.0) 3))) (* y (* 4.0 (neg t)))))
7.0ms
(* (pow z 6) (pow (* y 4.0) 3))
4.0ms
(cbrt (* (pow z 6) (pow (* y 4.0) 3)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (* x x) (+ (cbrt (* (pow z 6) (pow (* y 4.0) 3))) (* y (* 4.0 (neg t)))))
13.0ms
(* (pow z 6) (pow (* y 4.0) 3))
5.0ms
(cbrt (* (pow z 6) (pow (* y 4.0) 3)))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052851044

prune119.0ms

Filtered
48 candidates to 75 candidates (-56.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh033
Picked011
Done022
Total74781

Merged error: 3.7b

Counts
81 → 7

regimes663.0ms

Accuracy

81.6% (0.6b remaining)

Error of 3.3b against oracle of 2.7b and baseline of 5.9b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
041140
141140

end0.0ms

sample1.3s

Algorithm
intervals
Results
258.0ms8000×body80valid

Profiling

Loading profile data...