Details

Time bar (total: 1.8s)

analyze7.0ms

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

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04019
14019

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize15.0ms

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
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
16.5b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

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))
2.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* 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:
8.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049881616
149881616

prune151.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh000
Picked101
Done000
Total993102

Merged error: 0b

Counts
102 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x (neg 0.70711)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.3b
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.2b
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite29.0ms

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 frac-times div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log distribute-rgt-neg-out
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x (neg 0.70711)))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* (+ 2.30753 (* x 0.27061)) (/ 0.70711 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x (neg 0.70711)))
7.0ms
(* 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))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049771940
149771940

prune181.0ms

Filtered
87 candidates to 113 candidates (-29.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done000
Total1133116

Merged error: 0b

Counts
116 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.2b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
16.4b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.4b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
22.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
7.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049974053
149974053

prune422.0ms

Filtered
109 candidates to 176 candidates (-61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179

Merged error: 0b

Counts
179 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 58.149385387680425 (* x x)) (* x 0.70711))
0.0b
(- (/ 4.2702753202410175 x) (+ (/ 58.149385387680425 (* x x)) (* x 0.70711)))
0.5b
(/ 58.149385387680425 (* x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-cube-cbrt
4×times-frac
3×pow1 associate-/l*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ difference-of-squares
1×+-commutative sub-neg flip3-- frac-2neg prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv associate--r+ distribute-lft-out--
Counts
3 → 50
Calls
3 calls:
5.0ms
(+ (/ 58.149385387680425 (* x x)) (* x 0.70711))
11.0ms
(- (/ 4.2702753202410175 x) (+ (/ 58.149385387680425 (* x x)) (* x 0.70711)))
6.0ms
(/ 58.149385387680425 (* x x))

series14.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (/ 58.149385387680425 (* x x)) (* x 0.70711))
4.0ms
(- (/ 4.2702753202410175 x) (+ (/ 58.149385387680425 (* x x)) (* x 0.70711)))
3.0ms
(/ 58.149385387680425 (* x x))

simplify58.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04967778
14967778

prune62.0ms

Filtered
41 candidates to 59 candidates (-43.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done022
Total59362

Merged error: 0b

Counts
62 → 3

regimes29.0ms

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
03322
13322

end0.0ms

analyze4.0ms

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

sample444.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid

Profiling

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