Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))))

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 add-log-exp
6×pow1
5×flip3-+ flip-+
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 → 75
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)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 0.99229 (* x 0.04481))
34.0ms
(+ 2.30753 (* x 0.27061))
61.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401622
11709574
25001574

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))))))) (/ (+ 2.30753 (* x 0.27061)) (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)))))

rewrite36.0ms

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×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
25.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (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)))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
133.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
138.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07612759
137622417
250012216

prune403.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
90×associate-*r/
45×pow1
38×*-un-lft-identity
35×flip3-+ flip-+
31×times-frac
29×add-sqr-sqrt
24×add-cube-cbrt
23×add-exp-log add-cbrt-cube
22×associate-*l*
18×pow-prod-down
16×frac-sub
14×frac-times
13×distribute-rgt-in distribute-lft-in
10×prod-exp cbrt-unprod
9×associate-*l/
7×sum-cubes distribute-lft-out
6×add-log-exp
5×associate-/r*
4×associate-*r* associate--l+ associate-/r/ pow-sqr pow-prod-up associate--r+ sub-div
3×associate-/l*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log swap-sqr clear-num flip--
Counts
4 → 172
Calls
4 calls:
10.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
15.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
23.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 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)))))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
79.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
37.0ms
(- (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))) (* 1.0 (* x (+ 0.99229 (* x 0.04481)))))
129.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 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)))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012613428
150023031

prune590.0ms

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
02822
12822

end0.0ms

sample354.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid