Details

Time bar (total: 2.2s)

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

sample17.0ms

Algorithm
intervals
Results
11.0ms256×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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 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)))
14.4b
(/ (+ 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:
3.0ms
(+ 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)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052001616

prune158.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New983101
Fresh000
Picked011
Done000
Total984102

Merged error: 0b

Counts
102 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.6b
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
63×pow1
38×pow-prod-down
37×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×add-exp-log add-cbrt-cube
19×times-frac
18×sqrt-pow1 pow1/2
16×associate-*r/
14×sqrt-div
13×sqrt-prod
10×associate-*r*
9×prod-exp cbrt-unprod
8×pow-prod-up
7×flip3-- associate-*l* flip--
6×sqrt-unprod associate-/r* pow-sqr associate-/l*
4×frac-times flip3-+ associate-/r/ flip-+ associate-/l/ add-log-exp unswap-sqr
2×cbrt-undiv frac-2neg pow-plus div-exp associate-*l/ clear-num *-commutative div-inv difference-of-squares
1×pow2 swap-sqr rem-square-sqrt distribute-lft-out--
Counts
4 → 149
Calls
4 calls:
14.0ms
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
27.0ms
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
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)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
11.0ms
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
5.0ms
(/ (+ 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)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050173546

prune441.0ms

Filtered
101 candidates to 161 candidates (-59.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done011
Total1614165

Merged error: 0b

Counts
165 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.5b
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite27.0ms

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))

series32.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(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))

simplify37.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
055982099

prune191.0ms

Filtered
77 candidates to 108 candidates (-40.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done022
Total1084112

Merged error: 0b

Counts
112 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.5b
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
1.2b
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
10×times-frac
9×add-exp-log
8×log-prod add-cbrt-cube
7×pow1
6×unpow-prod-down pow-unpow
4×pow-pow add-log-exp
3×exp-prod flip3-+ rem-log-exp associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×unpow-prod-up pow-to-exp sub-neg associate-*r/ pow-exp associate-/r/ associate-/l/ pow-sub difference-of-squares sqr-pow
1×cbrt-undiv distribute-rgt-in log-div frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 98
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
11.0ms
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
12.0ms
(pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
40.0ms
(log (pow (exp 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050322141

prune202.0ms

Filtered
81 candidates to 110 candidates (-35.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done033
Total1104114

Merged error: 0b

Counts
114 → 4

regimes102.0ms

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
03319
13319

end0.0ms

sample457.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid

Profiling

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