Details

Time bar (total: 1.8s)

analyze8.0ms

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

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite29.0ms

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×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg associate-+r+ 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 → 91
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
12.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
10.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049761702
149761702

prune161.0ms

Filtered
76 candidates to 103 candidates (-35.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New985103
Fresh000
Picked101
Done000
Total995104

Merged error: 0.0b

Counts
104 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.7b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×prod-exp
5×flip3-+ associate-*r/ flip-+ unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ div-inv
1×flip3-- pow-flip frac-2neg clear-num un-div-inv flip-- inv-pow
Counts
4 → 119
Calls
4 calls:
14.0ms
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049542087
149542087

prune179.0ms

Filtered
87 candidates to 131 candidates (-50.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1301131
Fresh224
Picked101
Done000
Total1333136

Merged error: 0.0b

Counts
136 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.4b
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.7b
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 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-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 102
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051041748

prune194.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done000
Total1143117

Merged error: 0.0b

Counts
117 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.5b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050363519

prune209.0ms

Filtered
92 candidates to 161 candidates (-75.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done011
Total1613164

Merged error: 0.0b

Counts
164 → 3

regimes88.0ms

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

sample430.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid

Profiling

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