Details

Time bar (total: 6.5s)

analyze2.0s

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

sample41.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
3.0ms33×body80invalid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0491437
1491437

prune20.0ms

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: 28.9b

Counts
2 → 2

localize24.0ms

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))
0.2b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
28.0b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite76.0ms

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))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
29.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series213.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
149.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
52.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify60.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050963335

prune307.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh011
Picked101
Done000
Total1167123

Merged error: 0.6b

Counts
123 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) 36.527041698806414)
0.0b
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
1.7b
(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*l*
12×times-frac
11×add-cube-cbrt
10×add-log-exp
add-exp-log add-cbrt-cube
associate-*r*
pow1
difference-of-squares
sub-neg flip3-- sum-log flip--
frac-times associate-*r/ prod-exp cbrt-unprod distribute-lft-out-- unswap-sqr
cbrt-undiv +-commutative distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 69
Calls
3 calls:
7.0ms
(- (/ t z) 36.527041698806414)
9.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

series36.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (/ t z) 36.527041698806414)
22.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
11.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05089957

prune137.0ms

Filtered
58 candidates to 78 candidates (-34.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh066
Picked011
Done000
Total76985

Merged error: 0.6b

Counts
85 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- (/ t z) 36.527041698806414) (/ (cbrt y) z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
pow1 cbrt-undiv cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
associate-*r/ associate-*l*
1-exp
associate-*l/
flip3-- flip-- add-log-exp
times-frac pow1/3 pow-prod-down
associate-*r* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
19.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- (/ t z) 36.527041698806414) (/ (cbrt y) z)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
27.0ms
(cbrt y)
22.0ms
(cbrt y)
16.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- (/ t z) 36.527041698806414) (/ (cbrt y) z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04954806
14954806

prune128.0ms

Filtered
57 candidates to 98 candidates (-71.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh077
Picked011
Done011
Total989107

Merged error: 0.6b

Counts
107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (/ y z) (- (/ t z) 36.527041698806414))
14.4b
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
14.4b
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
14.4b
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-div
30×frac-add
25×add-sqr-sqrt
18×flip3-+ flip-+
17×*-un-lft-identity
15×add-cube-cbrt
14×frac-times flip3-- associate-*r/ flip--
13×associate-*l*
11×times-frac
add-exp-log cbrt-prod add-cbrt-cube
associate-*l/
pow1 associate-*r*
add-log-exp
pow1/3
sub-neg prod-exp cbrt-unprod difference-of-squares unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv distribute-lft-out--
Counts
4 → 110
Calls
4 calls:
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))
13.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
13.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
15.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))
86.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
85.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
86.0ms
(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050313567

prune397.0ms

Filtered
107 candidates to 122 candidates (-14.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1211122
Fresh066
Picked101
Done022
Total1229131

Merged error: 0.6b

Counts
131 → 9

regimes1.2s

Accuracy

97.2% (0.7b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.5b

bsearch56.0ms

Steps
ItersRangePoint
8
2.7166183362378936e+39
8.65983340883504e+42
1.5860848848307392e+42
6
-1.5960189122166671e+28
-1.0598557316285203e+27
-7.652244352742483e+27

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08196
18196

end0.0ms

sample1.1s

Algorithm
intervals
Results
684.0ms8000×body80valid
80.0ms929×body80invalid

Profiling

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