Details

Time bar (total: 7.6s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14

sample97.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0491437
1491437

prune18.0ms

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: 32.3b

Counts
2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
31.3b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
associate-*l*
flip3-+ associate-*r/ flip-+
prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
pow-prod-down associate-/r* *-commutative associate-/l*
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
10.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
26.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
28.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series194.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
5.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
132.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
51.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050963335

prune321.0ms

Filtered
90 candidates to 121 candidates (-34.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1165121
Fresh011
Picked011
Done000
Total1167123

Merged error: 0.0b

Counts
123 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) 36.527041698806414)
0.0b
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
0.0b
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
1.9b
(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*l* add-log-exp
12×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r*
sub-neg
sum-log difference-of-squares
associate-+r+ flip3-- flip--
+-commutative distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out
Counts
4 → 82
Calls
4 calls:
7.0ms
(- (/ t z) 36.527041698806414)
7.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
5.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (/ t z) 36.527041698806414)
22.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
11.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
10.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

simplify26.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
051571230

prune149.0ms

Filtered
71 candidates to 94 candidates (-32.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh145
Picked011
Done011
Total938101

Merged error: 0.0b

Counts
101 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ t (* z z)) 3.13060547623)
0.0b
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
3.6b
(* y (+ (/ t (* z z)) 3.13060547623))
7.6b
(/ t (* z z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
add-cube-cbrt add-log-exp
pow1
associate-*r*
flip3-+ times-frac associate-*l* flip-+ associate-/l*
cbrt-undiv +-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/ div-exp prod-exp sum-log cbrt-unprod distribute-lft-out
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 69
Calls
4 calls:
6.0ms
(+ (/ t (* z z)) 3.13060547623)
10.0ms
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
11.0ms
(* y (+ (/ t (* z z)) 3.13060547623))
4.0ms
(/ t (* z z))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (/ t (* z z)) 3.13060547623)
13.0ms
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
12.0ms
(* y (+ (/ t (* z z)) 3.13060547623))
5.0ms
(/ t (* z z))

simplify35.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05220794

prune122.0ms

Filtered
54 candidates to 81 candidates (-50.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh055
Picked011
Done022
Total80989

Merged error: 0.0b

Counts
89 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z)))
0.0b
(+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z))
1.1b
(/ (* y (- (/ t z) 36.527041698806414)) z)
2.7b
(* y (- (/ t z) 36.527041698806414))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
add-cube-cbrt
pow1 associate-*r*
times-frac associate-*r/ sum-log
associate-*l* associate-/r*
cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ associate-/l/ difference-of-squares
distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 73
Calls
4 calls:
8.0ms
(+ x (+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z)))
8.0ms
(+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z))
9.0ms
(/ (* y (- (/ t z) 36.527041698806414)) z)
9.0ms
(* y (- (/ t z) 36.527041698806414))

series51.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z)))
12.0ms
(+ (* 3.13060547623 y) (/ (* y (- (/ t z) 36.527041698806414)) z))
10.0ms
(/ (* y (- (/ t z) 36.527041698806414)) z)
7.0ms
(* y (- (/ t z) 36.527041698806414))

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049811070
149811070

prune100.0ms

Filtered
62 candidates to 85 candidates (-37.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done033
Total85994

Merged error: 0.0b

Counts
94 → 9

regimes1.3s

Accuracy

97% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 26.6b

bsearch101.0ms

Steps
ItersRangePoint
10
1136410.081740767
8.214918450646158e+20
8.072798115929079e+20
6
-1.1565064279621072e+38
-7.80278838974014e+36
-2.0168192840175004e+37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06457
16457

end0.0ms

sample2.5s

Algorithm
intervals
Results
749.0ms8000×body80valid

Profiling

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