Details

Time bar (total: 12.7s)

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

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
3.0ms33×body80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0491437
1491437

prune17.0ms

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: 29.2b

Counts
2 → 2

localize23.0ms

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)))
28.3b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite81.0ms

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:
9.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
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)))
35.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series188.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
5.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
131.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
47.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify95.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
055033335

prune311.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1147121
Fresh101
Picked011
Done000
Total1158123

Merged error: 0.5b

Counts
123 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* b (* y 1.6453555072203998)))
4.0ms
(* b (* y 1.6453555072203998))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* b (* y 1.6453555072203998)))
3.0ms
(* b (* y 1.6453555072203998))

simplify27.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05049260

prune74.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh066
Picked011
Done011
Total35843

Merged error: 0.5b

Counts
43 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
0.0b
(- (/ t (* z z)) (/ 36.527041698806414 z))
3.4b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
9.5b
(/ t (* z z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×times-frac
6×pow1
5×associate-*r*
4×difference-of-squares
3×associate-*l* associate-/l*
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* sum-log *-commutative frac-sub flip-- div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
10.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
17.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
4.0ms
(/ t (* z z))

series48.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
7.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
14.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify37.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053651093

prune140.0ms

Filtered
63 candidates to 87 candidates (-38.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84387
Fresh055
Picked101
Done022
Total851095

Merged error: 0.5b

Counts
95 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))))
0.0b
(- (/ (/ t z) z) (/ 36.527041698806414 z))
0.1b
(/ (/ t z) z)
3.4b
(* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
73×add-sqr-sqrt
63×*-un-lft-identity
50×add-cube-cbrt
13×associate-/l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×div-inv
6×pow1 difference-of-squares
5×associate-*r* distribute-lft-out--
3×cbrt-undiv div-exp associate-*l* associate-/r*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log pow-prod-down prod-exp clear-num sum-log *-commutative frac-sub flip-- cbrt-unprod associate-/l/ sub-div unswap-sqr
Counts
4 → 131
Calls
4 calls:
3.0ms
(+ x (* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))))
29.0ms
(- (/ (/ t z) z) (/ 36.527041698806414 z))
6.0ms
(/ (/ t z) z)
35.0ms
(* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))))
10.0ms
(- (/ (/ t z) z) (/ 36.527041698806414 z))
5.0ms
(/ (/ t z) z)
15.0ms
(* y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051141753

prune143.0ms

Filtered
105 candidates to 143 candidates (-36.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh077
Picked011
Done022
Total14310153

Merged error: 0.5b

Counts
153 → 10

regimes930.0ms

Accuracy

97.9% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 26.7b

bsearch5.1s

Steps
ItersRangePoint
6
1.428351627876578e+35
1.4442279110857905e+36
3.700395367542967e+35
9
-2.2759580503965025e+33
-7.66971243669247e+24
-1.5975390535299504e+33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06761
16761

end0.0ms

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

sample1.1s

Algorithm
intervals
Results
720.0ms8000×body80valid
74.0ms860×body80invalid

Profiling

Loading profile data...