Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))))

rewrite120.0ms

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:
31.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
70.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
101.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05241067
12237989
25001989

prune259.0ms

Filtered
107 candidates to 78 candidates (72.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

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 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
21×*-un-lft-identity
17×add-cube-cbrt
13×add-exp-log associate-*r*
11×times-frac
10×add-cbrt-cube
7×pow1 unpow-prod-down
6×associate-*l* add-log-exp
4×prod-exp difference-of-squares unswap-sqr
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*r/ pow-prod-down associate-/r/ *-commutative cbrt-unprod associate-/l/ distribute-lft-out-- sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-exp clear-num flip-- div-inv
Counts
4 → 97
Calls
4 calls:
33.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
137.0ms
(* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
99.0ms
(* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))
70.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05501096
124261035
250021035

prune280.0ms

Filtered
109 candidates to 80 candidates (73.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))))

rewrite156.0ms

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:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
71.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
67.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (+ 0.99229 (* x 0.04481)))
132.0ms
(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
158.0ms
(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06061382
127751233
250021233

prune290.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.6b
(* (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))) (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))))
17.2b
(/ (+ 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)))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
18×sqrt-pow1 times-frac
15×pow-prod-down
12×add-exp-log add-cbrt-cube
8×pow1/2
7×associate-*r* associate-*l*
6×associate-/r* pow-prod-up associate-/l*
5×flip3-+ flip-+
4×swap-sqr sqrt-prod associate-/r/ pow-sqr associate-/l/ add-log-exp
2×cbrt-undiv frac-2neg associate-*r/ div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 127
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
233.0ms
(* (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))) (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (+ 0.99229 (* x 0.04481)))
153.0ms
(* (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))) (sqrt (* 0.70711 (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 1))))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
63.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
04991609
123631339
250021315

prune447.0ms

Filtered
139 candidates to 96 candidates (69.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample354.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid