Details

Time bar (total: 2.3s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0489919
1489919

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×associate-/r* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 89
Calls
4 calls:
12.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052001616

prune159.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New974101
Fresh000
Picked101
Done000
Total984102

Merged error: 0b

Counts
102 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num sum-log
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055941730

prune185.0ms

Filtered
83 candidates to 110 candidates (-32.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done000
Total1104114

Merged error: 0b

Counts
114 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.6b
(* (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
74×sqrt-prod
60×times-frac
54×add-cube-cbrt *-un-lft-identity
21×pow1 associate-*r* associate-*l*
20×swap-sqr
12×add-exp-log associate-/r/ add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×sqrt-pow1 pow1/2
6×associate-/r* div-inv associate-/l*
5×pow-prod-up
4×sqrt-div pow-prod-down associate-/l/ add-log-exp
3×associate-*r/ pow-sqr
2×cbrt-undiv frac-2neg div-exp prod-exp clear-num *-commutative cbrt-unprod
1×pow2 distribute-rgt-in frac-times distribute-lft-in pow-plus sqrt-unprod associate-*l/ rem-square-sqrt
Counts
4 → 177
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
19.0ms
(* (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(* (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049954040
149954040

prune448.0ms

Filtered
131 candidates to 189 candidates (-44.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh022
Picked011
Done011
Total1894193

Merged error: 0b

Counts
193 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
17.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
24.1b
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×cbrt-prod
6×associate-*r/
4×cube-div add-log-exp
3×pow-unpow flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×cube-mult unpow-prod-down cbrt-div flip3-- pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ rem-cube-cbrt sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow1/3 div-exp clear-num *-commutative rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
12.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

simplify31.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
055982099

prune194.0ms

Filtered
78 candidates to 108 candidates (-38.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done022
Total1084112

Merged error: 0b

Counts
112 → 4

regimes224.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05121
15121

end0.0ms

sample517.0ms

Algorithm
intervals
Results
411.0ms8000×body80valid

Profiling

Loading profile data...