Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1508
2698
3758
4758

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
(+ 0.99229 (* x 0.04481))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
15.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
43.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
2.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
34.0ms
(+ 0.99229 (* x 0.04481))
61.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06042053
124321582
250011515

prune356.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
0.6b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
10×add-exp-log
9×times-frac
8×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×associate-*r/ div-exp associate-/r/
1×cbrt-undiv +-commutative distribute-rgt-in rec-exp pow-flip frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod fma-udef div-inv inv-pow unswap-sqr
Counts
4 → 85
Calls
4 calls:
0.0ms
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
2.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
32.0ms
(+ 0.99229 (* x 0.04481))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
38.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0390643
11689530
25002504

prune245.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

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))))))
0.2b
(* (/ 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)))))))
15.4b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.4b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

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))))))
38.0ms
(* (/ 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)))))

series370.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
58.0ms
(* (/ 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)))))))
77.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
79.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07412701
134052407
250012239

prune481.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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
0249
1249

end0.0ms

sample352.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid