Details

Time bar (total: 1.9s)

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

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0489919
1489919

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize18.0ms

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)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
10.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×sub-neg flip3-+ associate-/r* flip-+ associate-/l*
2×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 92
Calls
4 calls:
13.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
10.0ms
(- (/ (+ 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)))))

series26.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051901909

prune165.0ms

Filtered
80 candidates to 104 candidates (-30.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1013104
Fresh000
Picked101
Done000
Total1023105

Merged error: 0b

Counts
105 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
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)
10.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

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 unsub-neg associate-*l/ clear-num sum-log distribute-rgt-neg-out
Counts
4 → 99
Calls
4 calls:
8.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
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)))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* x (neg 0.70711)))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(* (/ (+ 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)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
053182013

prune184.0ms

Filtered
86 candidates to 111 candidates (-29.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh112
Picked011
Done000
Total1113114

Merged error: 0b

Counts
114 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)) 0.70711)
0.1b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
10.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.7b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
74×add-sqr-sqrt
65×times-frac
59×add-cube-cbrt *-un-lft-identity
47×unpow-prod-down cube-prod
39×associate-*l*
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
8×flip3-+ flip-+
7×pow1 div-inv unswap-sqr
4×add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*r* associate-/r* associate-/l*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp pow-pow frac-2neg pow1/3 pow-prod-down associate-*l/ prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 188
Calls
4 calls:
13.0ms
(* (cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)) 0.70711)
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))

series20.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
053154475

prune314.0ms

Filtered
116 candidates to 200 candidates (-72.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh011
Picked011
Done011
Total2003203

Merged error: 0b

Counts
203 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.3b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in diff-log clear-num un-div-inv flip-- inv-pow
Counts
4 → 108
Calls
4 calls:
9.0ms
(- (* (+ 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))))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
5.0ms
(* 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))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050581874

prune157.0ms

Filtered
82 candidates to 120 candidates (-46.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes26.0ms

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

sample420.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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