Details

Time bar (total: 3.4s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
22.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
72.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0440825
11911776
25001776

prune238.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
15.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
20.3b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite34.0ms

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:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
7.0ms
(/ (+ 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))

series294.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (+ 0.99229 (* x 0.04481)))
92.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
65.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify97.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06751949
132851824
250011812

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) x)
0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.3b
(log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt add-log-exp
7×pow1
6×add-exp-log add-cbrt-cube
4×log-prod log-pow
3×exp-prod associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ difference-of-squares
1×+-commutative sub-neg flip3-- times-frac diff-log rem-log-exp exp-sum pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 66
Calls
4 calls:
14.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) x)
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) x)
28.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
27.0ms
(log (exp (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0338606
11405551
25001543

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
8.7b
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
15.7b
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/r*
9×add-exp-log
8×add-cbrt-cube
7×pow1
6×cube-div cube-mult unpow3 sqr-pow
5×flip3-+ flip-+
4×cbrt-div add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in pow-to-exp pow-pow frac-2neg distribute-lft-in pow1/3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod div-inv rem-cube-cbrt unswap-sqr
Counts
4 → 149
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
4.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* x (+ 0.99229 (* x 0.04481)))
52.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
22.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

simplify84.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05671821
127081704
250011672

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample413.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid