Details

Time bar (total: 5.7s)

analyze1.9s

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

sample39.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
2.0ms22×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0491437
1491437

prune16.0ms

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: 29.4b

Counts
2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
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)))
28.5b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite72.0ms

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:
9.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
27.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
26.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series192.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
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 (43.0ms)

IterNodesCost
049783281
149783281

prune331.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1129121
Fresh011
Picked011
Done000
Total11211123

Merged error: 0.2b

Counts
123 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
0.0b
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
0.3b
(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
11×add-cube-cbrt times-frac
10×add-log-exp
add-exp-log add-cbrt-cube
associate-*r*
pow1
sub-neg sum-log
associate-+r+
+-commutative distribute-rgt-in frac-times flip3-- distribute-lft-in flip3-+ associate-*r/ prod-exp flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out distribute-lft-out--
Counts
3 → 68
Calls
3 calls:
6.0ms
(+ 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))

series42.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ 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
77 → 77
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051341084

prune134.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh189
Picked011
Done011
Total771188

Merged error: 0.2b

Counts
88 → 11

localize10.0ms

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)))
0.0b
(/ (- (/ t z) 36.527041698806414) z)
1.6b
(* y (/ (- (/ t z) 36.527041698806414) z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
44×times-frac
42×*-un-lft-identity
26×add-cube-cbrt
22×associate-*r*
14×difference-of-squares
11×add-exp-log add-cbrt-cube add-log-exp
distribute-lft-out--
pow1 associate-/l*
sum-log
associate-*l* associate-/r*
cbrt-undiv +-commutative flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
associate-+r+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ x (+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z))))
5.0ms
(+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z)))
8.0ms
(/ (- (/ t z) 36.527041698806414) z)
13.0ms
(* y (/ (- (/ t z) 36.527041698806414) z))

series52.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ x (+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z))))
13.0ms
(+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z)))
6.0ms
(/ (- (/ t z) 36.527041698806414) z)
11.0ms
(* y (/ (- (/ t z) 36.527041698806414) z))

simplify46.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049931515
149931515

prune173.0ms

Filtered
88 candidates to 120 candidates (-36.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh088
Picked011
Done022
Total12011131

Merged error: 0.2b

Counts
131 → 11

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* b (* y 1.6453555072203998)))
0.2b
(* b (* y 1.6453555072203998))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ x (* b (* y 1.6453555072203998)))
7.0ms
(* b (* y 1.6453555072203998))

series11.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* b (* y 1.6453555072203998)))
3.0ms
(* b (* y 1.6453555072203998))

simplify43.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05066260

prune35.0ms

Filtered
22 candidates to 35 candidates (-59.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New34135
Fresh077
Picked101
Done033
Total351146

Merged error: 0.2b

Counts
46 → 11

regimes1.2s

Accuracy

97.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.1b

bsearch66.0ms

Steps
ItersRangePoint
10
3.095745844195812e+35
2.5307293726598032e+47
1.8175857263231774e+38
8
-5.654324695797124e+39
-1.5908313545930308e+35
-8.905159594205517e+36

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08275
18275

end0.0ms

sample1.0s

Algorithm
intervals
Results
683.0ms8000×body80valid
76.0ms867×body80invalid

Profiling

Loading profile data...