Details

Time bar (total: 2.5s)

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

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
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)))
12.0b
(/ (+ 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:
3.0ms
(+ 2.30753 (* x 0.27061))
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)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
8.0ms
(* 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)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049801616
149801616

prune331.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (+ 0.99229 (* x 0.04481)) (cbrt x)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (+ 0.99229 (* x 0.04481)) (cbrt x)))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
22.0ms
(cbrt x)
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (+ 0.99229 (* x 0.04481)) (cbrt x)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04951877
14951877

prune104.0ms

Filtered
59 candidates to 76 candidates (-28.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0b

Counts
80 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
12.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
50×*-un-lft-identity
36×add-cube-cbrt
32×cbrt-prod
31×times-frac
12×add-exp-log cbrt-div
11×pow1 swap-sqr
10×add-cbrt-cube
9×associate-*r* associate-*l* associate-/r* associate-/l*
8×difference-of-squares
6×flip3-- flip3-+ pow1/3 associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
4×frac-times add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
22.0ms
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 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)))))
8.0ms
(/ (+ 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)))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (cbrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (cbrt (- (/ (+ 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)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
056734470

prune720.0ms

Filtered
125 candidates to 164 candidates (-31.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh022
Picked011
Done011
Total1644168

Merged error: 0b

Counts
168 → 4

localize15.0ms

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)
12.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.4b
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite28.0ms

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))

series29.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 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

prune191.0ms

Filtered
79 candidates to 108 candidates (-36.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done022
Total1084112

Merged error: 0b

Counts
112 → 4

regimes126.0ms

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
03726
13726

end0.0ms

sample449.0ms

Algorithm
intervals
Results
363.0ms8000×body80valid

Profiling

Loading profile data...