Details

Time bar (total: 2.8s)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite60.0ms

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
(+ 2.30753 (* x 0.27061))
37.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 2.30753 (* x 0.27061))
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06072052
124301584
250021517

prune369.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 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))))))
14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite26.0ms

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))))))
12.0ms
(/ (* (/ 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)))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
61.0ms
(/ (* (/ 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)))))
79.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05391572
126031392
250011259

prune419.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
Counts
4 → 68
Calls
4 calls:
3.0ms
(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)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
76.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
76.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
77.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0183712
1651688
23519656
35001648

prune417.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample333.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid