Details

Time bar (total: 3.5s)

sample39.0ms

Algorithm
intervals
Results
30.0ms256×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
(+ 0.99229 (* x 0.04481))
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)))))

rewrite69.0ms

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:
2.0ms
(+ 0.99229 (* x 0.04481))
43.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 0.99229 (* x 0.04481))
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06042053
124321582
250011515

prune342.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b
(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
13.0b
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
354×times-frac
252×add-sqr-sqrt
243×*-un-lft-identity
238×add-cube-cbrt
132×prod-diff
44×fma-neg
23×div-inv
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×associate-/l* add-log-exp
5×pow1 associate-/r/ difference-of-squares
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- fma-udef inv-pow
Counts
4 → 314
Calls
4 calls:
49.0ms
(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms
(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
2.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series218.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
26.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
66.0ms
(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
63.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify99.0ms

Algorithm
egg-herbie
Counts
326 → 326
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08274586
130313152
250013069

prune509.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite29.0ms

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:
6.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.0ms
(/ (* (/ 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)))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
62.0ms
(/ (* (/ 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))))))
80.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
79.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05391575
126031392
250011259

prune388.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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
0156
1156

end0.0ms

sample968.0ms

Algorithm
intervals
Results
862.0ms8000×body80valid