Details

Time bar (total: 3.1s)

sample31.0ms

Algorithm
intervals
Results
23.0ms256×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

localize10.0ms

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)))))

rewrite68.0ms

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))
8.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
36.0ms
(+ 0.99229 (* x 0.04481))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 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

prune357.0ms

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))
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
34.0ms
(+ 0.99229 (* x 0.04481))
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
41.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0390643
11689530
25002504

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (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)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×times-frac sqrt-prod
23×add-exp-log
15×add-cbrt-cube
12×associate-/r*
9×div-exp
8×pow1 sqrt-div
5×cbrt-undiv
4×expm1-log1p-u flip3-+ prod-exp associate-/r/ flip-+ log1p-expm1-u associate-/l* add-log-exp
3×pow-flip sqrt-pow1 pow1/2
2×rem-sqrt-square rec-exp frac-2neg 1-exp clear-num cbrt-unprod div-inv
1×associate-*l/ associate-/l/ inv-pow
Counts
4 → 119
Calls
4 calls:
5.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
16.0ms
(/ (* (/ 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)))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
57.0ms
(/ (* (/ 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))))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
84.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05391572
126031392
250011259

prune409.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

sample846.0ms

Algorithm
intervals
Results
745.0ms8000×body80valid