Details

Time bar (total: 3.7s)

sample32.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify127.0ms

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

localize11.0ms

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
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite41.0ms

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×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- 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 → 95
Calls
4 calls:
14.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
13.0ms
(* 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)))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
124.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05241067
12237989
25001989

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))))) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
17.2b
(/ (+ 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-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log distribute-lft-out
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(* 0.70711 (/ (+ 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)))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
65.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06051138
128581030
250011029

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.70711 (cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)))
0.2b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
17.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
21.8b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite48.0ms

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-*r*
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-*l* 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 associate-*r/ pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 188
Calls
4 calls:
16.0ms
(* 0.70711 (cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)))
11.0ms
(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)))))
7.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series274.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* 0.70711 (cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)))
86.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
62.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify106.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07002558
133882410
250012393

prune454.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
17.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
15×add-exp-log associate-*l* add-cbrt-cube
13×pow1
11×distribute-rgt-in distribute-lft-in
10×times-frac associate-*r*
8×associate-*r/
7×sqrt-prod
6×sub-neg
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×flip3-+ associate-/r* *-commutative flip-+ associate-/l* unswap-sqr
2×flip3-- associate-/r/ flip-- associate-/l/ difference-of-squares
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
14.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
16.0ms
(* (sqrt 0.70711) (* (sqrt 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)))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (+ 0.99229 (* x 0.04481)))
130.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
155.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06061382
127751233
250021233

prune294.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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
02911
13311
23411
33411

end0.0ms

sample346.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid