Details

Time bar (total: 6.0s)

analyze2.1s

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

sample42.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
3.0ms31×body80invalid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0517137

prune22.0ms

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: 26.5b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
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)))
26.3b
(/ (+ (* 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
9×associate-*l*
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
12.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
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)))
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))

series212.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
7.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
151.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
48.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify89.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049933335
149933335

prune327.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1174121
Fresh011
Picked011
Done000
Total1176123

Merged error: 0.4b

Counts
123 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* b (* y 1.6453555072203998))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* b (* y 1.6453555072203998))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* b (* y 1.6453555072203998))

simplify40.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04938121
14938121

prune45.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh044
Picked011
Done011
Total21627

Merged error: 0.4b

Counts
27 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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
9×add-exp-log add-cbrt-cube
6×pow1 associate-*r*
5×sub-neg
4×sum-log difference-of-squares
3×associate-+r+ flip3-- flip--
2×+-commutative distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out
Counts
4 → 82
Calls
4 calls:
6.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
7.0ms
(- (/ t z) 36.527041698806414)
5.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
13.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

series47.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
3.0ms
(- (/ t z) 36.527041698806414)
14.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
10.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049721238
149721238

prune158.0ms

Filtered
73 candidates to 94 candidates (-28.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New90494
Fresh123
Picked011
Done022
Total919100

Merged error: 0.4b

Counts
100 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (/ (/ t z) z)) (+ (* y 3.13060547623) x))
0.0b
(+ (* y 3.13060547623) x)
0.1b
(/ (/ t z) z)
6.4b
(* y (/ (/ t z) z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
91×add-sqr-sqrt
82×add-cube-cbrt *-un-lft-identity
43×associate-*r*
18×add-exp-log add-cbrt-cube
13×associate-/l*
11×add-log-exp
9×div-inv
6×pow1 cbrt-undiv div-exp
4×sum-log
3×flip3-+ associate-*r/ associate-*l* prod-exp associate-/r* cbrt-unprod flip-+ unswap-sqr
2×+-commutative frac-add
1×associate-+r+ frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 161
Calls
4 calls:
12.0ms
(+ (* y (/ (/ t z) z)) (+ (* y 3.13060547623) x))
4.0ms
(+ (* y 3.13060547623) x)
6.0ms
(/ (/ t z) z)
14.0ms
(* y (/ (/ t z) z))

series31.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (* y (/ (/ t z) z)) (+ (* y 3.13060547623) x))
4.0ms
(+ (* y 3.13060547623) x)
5.0ms
(/ (/ t z) z)
8.0ms
(* y (/ (/ t z) z))

simplify69.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049621741
149621741

prune186.0ms

Filtered
129 candidates to 173 candidates (-34.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1721173
Fresh145
Picked101
Done033
Total1748182

Merged error: 0.4b

Counts
182 → 8

regimes1.1s

Accuracy

95.6% (1.1b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 26.5b

bsearch71.0ms

Steps
ItersRangePoint
9
1.0115041539928938e-10
0.03284707412304459
0.031983019085585165
8
-3.1182131911357887e+35
-1.6770132178361935e+31
-2.183161388716548e+33

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
018361
118361

end0.0ms

sample1.1s

Algorithm
intervals
Results
711.0ms8000×body80valid
78.0ms850×body80invalid

Profiling

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