Details

Time bar (total: 3.9s)

sample37.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify137.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))))) x))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite192.0ms

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:
82.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
68.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
13.0ms
(* x (+ 0.99229 (* x 0.04481)))
16.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
81.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
56.0ms
(/ (+ 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 (77.0ms)

IterNodesCost
07874964
132873903
250013628

prune440.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b
(* 0.70711 (fma 0.27061 x 2.30753))
13.0b
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
7×fma-def
6×pow1 times-frac add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l* associate-/r* fma-udef
2×cbrt-undiv div-exp prod-exp distribute-rgt-neg-out cbrt-unprod div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ unsub-neg pow-prod-down clear-num sum-log *-commutative flip-+ associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
7.0ms
(+ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series221.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) (* 0.70711 (- x)))
25.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
52.0ms
(* 0.70711 (fma 0.27061 x 2.30753))
73.0ms
(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0336518
11450452
25002450

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 166
Calls
4 calls:
5.0ms
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
37.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series371.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
56.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
78.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
78.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07412701
134052407
250012239

prune482.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
0239
1239

end0.0ms

sample1.0s

Algorithm
intervals
Results
901.0ms8000×body80valid