Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 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)))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0440825
11911776
25001776

prune192.0ms

Filtered
93 candidates to 70 candidates (75.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New89493
Fresh000
Picked101
Done000
Total90494

Merged error: 0b

Counts
94 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.5b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series279.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
89.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
62.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify100.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06751953
132851826
250011812

prune277.0ms

Filtered
161 candidates to 91 candidates (56.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1601161
Fresh123
Picked011
Done000
Total1614165

Merged error: 0b

Counts
165 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
0.0b
(+ (* x 0.99229) (* x (* x 0.04481)))
0.1b
(* x (* x 0.04481))
15.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×distribute-lft-out
4×associate-/r*
3×flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ associate-/l*
2×associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp associate-*r* clear-num sum-log *-commutative flip-- div-inv distribute-lft-out--
Counts
4 → 80
Calls
4 calls:
13.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
4.0ms
(+ (* x 0.99229) (* x (* x 0.04481)))
5.0ms
(* x (* x 0.04481))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
70.0ms
(+ (* x 0.99229) (* x (* x 0.04481)))
25.0ms
(* x (* x 0.04481))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0440868
11713811
25001787

prune359.0ms

Filtered
92 candidates to 65 candidates (70.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done011
Total92496

Merged error: 0b

Counts
96 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 58.57591269281974 (pow x 2)) 12.286892763167774)
0.0b
(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
0.2b
(* 58.57591269281974 (pow x 2))
16.6b
(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
9×add-exp-log
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-cbrt-cube
4×pow1 unpow-prod-down unswap-sqr
3×cbrt-prod associate-*l* prod-exp
2×cbrt-div flip3-- diff-log sum-log flip-- unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-+ pow1/3 pow-exp associate--l+ *-commutative cbrt-unprod flip-+
Counts
4 → 65
Calls
4 calls:
5.0ms
(+ (* 58.57591269281974 (pow x 2)) 12.286892763167774)
7.0ms
(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
6.0ms
(* 58.57591269281974 (pow x 2))
6.0ms
(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* 58.57591269281974 (pow x 2)) 12.286892763167774)
25.0ms
(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
25.0ms
(* 58.57591269281974 (pow x 2))
144.0ms
(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0391560
11371517
25001489

prune140.0ms

Filtered
77 candidates to 53 candidates (68.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4

regimes20.0ms

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
02310
12310

end0.0ms

sample396.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid