Details

Time bar (total: 3.6s)

sample33.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify10.0ms

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))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 fma-def
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
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)))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
34.0ms
(+ 0.99229 (* x 0.04481))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0421651
11810561
25001544

prune258.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.0b
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in log1p-udef expm1-log1p frac-2neg distribute-lft-in log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 79
Calls
4 calls:
0.0ms
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.0ms
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 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)))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
211.0ms
(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0468812
11943702
25002676

prune292.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
1.5b
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
12.4b
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
22.1b
(* (/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
90×associate-*r/
45×pow1
32×flip3-+ flip-+
25×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
19×times-frac
18×pow-prod-down
16×frac-sub
14×frac-times associate-*l*
13×distribute-rgt-in distribute-lft-in
10×prod-exp cbrt-unprod
9×associate-*l/
6×add-log-exp
4×expm1-log1p-u associate-*r* associate--l+ pow-sqr pow-prod-up log1p-expm1-u associate--r+ sub-div
3×associate-/r* associate-/l*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv unswap-sqr
1×pow2 sub-neg flip3-- distribute-rgt-out-- frac-2neg fma-neg diff-log swap-sqr prod-diff clear-num flip--
Counts
4 → 162
Calls
4 calls:
19.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
2.0ms
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
27.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
183.0ms
(* (/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
96.0ms
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
39.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
151.0ms
(* (/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011863044
150022557

prune725.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
02210
12210

end0.0ms

sample698.0ms

Algorithm
intervals
Results
597.0ms8000×body80valid