Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.7b
(/ (+ 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:
3.0ms
(+ 0.99229 (* x 0.04481))
3.0ms
(+ 2.30753 (* x 0.27061))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ 0.99229 (* x 0.04481))
32.0ms
(+ 2.30753 (* x 0.27061))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 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 (47.0ms)

IterNodesCost
0421651
11810561
25001544

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
18.1b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.1b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.1b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
24.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
146.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
142.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
145.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07482728
133742385
250022176

prune459.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
1.7b
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
15.0b
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
25.8b
(* (/ (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)))))))

rewrite53.0ms

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:
13.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
3.0ms
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
13.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.0ms
(* (/ (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)))))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
91.0ms
(/ (fma 0.27061 x 2.30753) (fma (pow x 3) (pow (fma 0.04481 x 0.99229) 3) (pow 1.0 3)))
44.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
139.0ms
(* (/ (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)))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011863044
150022557

prune706.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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
02521
12521

end0.0ms

sample339.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid