Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0319
1599
2909
31167
41307
51487
61887
72647
83047
93777
105807
118517
1214027
1327877
1431687
1543217
1650017

prune7.0ms

Pruning

2 alts after pruning (2 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
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
145×add-sqr-sqrt
135×*-un-lft-identity prod-diff
131×add-cube-cbrt
101×times-frac
48×distribute-rgt-in distribute-lft-in
22×associate-/r/
15×fma-neg
13×flip3-+ flip-+
11×div-inv
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u difference-of-squares
3×sub-neg associate-/r* associate-/l*
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num
Counts
4 → 253
Calls
4 calls:
41.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
84.0ms
(* 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)))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
99.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
63.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07874964
132873903
250013630

prune468.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
14.4b
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series160.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
25.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
65.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0222417
1640372
23067368
35002361

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
1.2b
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
12.2b
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
23.6b
(fma (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (- x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
43×pow1
32×flip3-+ flip-+
22×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
16×frac-sub
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
12×distribute-rgt-in frac-times distribute-lft-in
8×associate-*l/ prod-exp cbrt-unprod
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u associate--l+ pow-sqr sum-cubes pow-prod-up log1p-expm1-u distribute-lft-out associate--r+ sub-div
3×associate-/l*
2×pow-plus associate-/r/ associate-/l/
1×cbrt-undiv pow2 sub-neg flip3-- distribute-rgt-out-- frac-2neg fma-neg diff-log swap-sqr div-exp associate-*r* associate-*l* prod-diff clear-num *-commutative flip-- fma-udef div-inv
Counts
4 → 144
Calls
4 calls:
19.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
24.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
30.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
0.0ms
(fma (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (- x))

series274.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
85.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
39.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
111.0ms
(fma (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (- x))

simplify159.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010262512
149222083
250012083

prune603.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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
0217
1257
2267
3267

end0.0ms

sample376.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid