Details

Time bar (total: 2.8s)

analyze661.0ms

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

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms98×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

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: 8.1b

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)
7.5b
(* (* y 4.0) (- (* z z) t))

rewrite18.0ms

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))

series37.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04982631
14982631

prune79.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 3.7b

Counts
58 → 5

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))
12.6b
(* y (* 4.0 (* z z)))

rewrite32.0ms

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:
10.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
8.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
5.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
17.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
3.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05147799

prune85.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done000
Total80585

Merged error: 3.7b

Counts
85 → 5

localize14.0ms

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)))
7.6b
(sqrt (- (* z z) t))
7.6b
(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))))
15.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series39.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 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))

simplify44.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051171084

prune101.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done011
Total975102

Merged error: 3.7b

Counts
102 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z z) t)
5.0b
(- (pow z 4) (* t t))
10.0b
(* y (* 4.0 (- (pow z 4) (* t t))))
21.4b
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt
8×associate-*r/ add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
5×sub-neg
4×distribute-rgt-in distribute-lft-in
3×cbrt-undiv flip3-- times-frac div-exp associate-*l* pow-prod-down associate-/r* flip-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×+-commutative unpow-prod-down frac-2neg diff-log associate-*r* clear-num sum-log *-commutative div-inv associate-/l* sqr-pow
Counts
4 → 76
Calls
4 calls:
4.0ms
(+ (* z z) t)
5.0ms
(- (pow z 4) (* t t))
8.0ms
(* y (* 4.0 (- (pow z 4) (* t t))))
13.0ms
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

series72.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* z z) t)
6.0ms
(- (pow z 4) (* t t))
25.0ms
(* y (* 4.0 (- (pow z 4) (* t t))))
37.0ms
(/ (* y (* 4.0 (- (pow z 4) (* t t)))) (+ (* z z) t))

simplify28.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
052631001

prune100.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done022
Total88593

Merged error: 3.7b

Counts
93 → 5

regimes528.0ms

Accuracy

83.7% (0.6b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 6.1b

bsearch0.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
041140
141140

end0.0ms

sample683.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid
113.0ms3108×body80invalid

Profiling

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