Details

Time bar (total: 11.0s)

sample51.0ms

Algorithm
intervals
Results
35.0ms474×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
02867
16967
222148
378137
4252937
done500037

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
8×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×add-log-exp
3×sqrt-prod *-commutative
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 127
Calls
4 calls:
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
324.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
31.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series134.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
63.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.1s

Counts
137 → 137
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
02162448
15981707
220391163
done50001163

prune415.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 6) (/ 1.0 21.0))
0.1b
(/ (* (pow (fabs x) 4) 1.0) 5.0)
0.2b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
40×add-exp-log
28×times-frac
26×add-cube-cbrt *-un-lft-identity
25×associate-*r*
20×associate-*l*
19×add-cbrt-cube
15×prod-exp
14×unswap-sqr
10×unpow-prod-down div-exp
6×sqr-pow
5×pow1 pow-to-exp cube-prod pow-exp cbrt-unprod
4×cbrt-undiv add-log-exp
3×associate-/r* sqrt-prod div-inv
2×*-commutative
1×cube-mult rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 unpow3 associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 129
Calls
4 calls:
10.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
4.0ms
(/ (* (pow (fabs x) 4) 1.0) 5.0)
12.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)

series152.0ms

Counts
4 → 10
Calls
4 calls:
60.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
44.0ms
(/ (* (pow (fabs x) 4) 1.0) 5.0)
48.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify928.0ms

Counts
139 → 139
Iterations

Useful iterations: 2 (379.0ms)

IterNodesCost
02511570
16191433
223221314
done50001314

prune542.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs x) (+ (/ (* (pow (fabs x) 4) 1.0) 5.0) (/ (* (pow (fabs x) 6) 1.0) 21.0)))
0.1b
(/ (* (pow (fabs x) 4) 1.0) 5.0)
0.2b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×add-exp-log
21×*-un-lft-identity
19×add-cube-cbrt
16×times-frac associate-*r* associate-*l* add-cbrt-cube
10×prod-exp
9×unswap-sqr
7×pow1 div-exp
5×unpow-prod-down cube-prod
4×cbrt-unprod add-log-exp
3×cbrt-undiv pow-to-exp associate-*r/ pow-exp associate-/r* sqrt-prod sqr-pow
2×*-commutative div-inv
1×distribute-rgt-in cube-mult rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 flip3-+ pow1/2 unpow3 pow-prod-down associate-*l/ frac-add clear-num flip-+ distribute-lft-out associate-/l*
Counts
4 → 110
Calls
4 calls:
33.0ms
(* (fabs x) (+ (/ (* (pow (fabs x) 4) 1.0) 5.0) (/ (* (pow (fabs x) 6) 1.0) 21.0)))
4.0ms
(/ (* (pow (fabs x) 4) 1.0) 5.0)
12.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)

series213.0ms

Counts
4 → 10
Calls
4 calls:
123.0ms
(* (fabs x) (+ (/ (* (pow (fabs x) 4) 1.0) 5.0) (/ (* (pow (fabs x) 6) 1.0) 21.0)))
46.0ms
(/ (* (pow (fabs x) 4) 1.0) 5.0)
44.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify842.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
02111641
15481535
221011385
done50011385

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (/ (* (fabs x) (+ (* (* (pow (fabs x) 4) 1.0) 21.0) (* 5.0 (* (pow (fabs x) 6) 1.0)))) (* 5.0 21.0)) (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (pow (fabs x) 3)))))
0.1b
(* (* (pow (fabs x) 4) 1.0) 21.0)
0.2b
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
36×associate-*l*
33×times-frac
32×add-exp-log *-un-lft-identity
30×add-cube-cbrt
19×associate-*r* add-cbrt-cube
15×prod-exp
13×sqrt-prod
11×unswap-sqr
9×pow1
7×cbrt-unprod
5×unpow-prod-down cube-prod
4×frac-times flip3-+ associate-*r/ div-exp frac-add flip-+ add-log-exp
3×pow-to-exp pow-exp *-commutative sqr-pow
2×cbrt-undiv pow-prod-down associate-*l/ div-inv
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 distribute-lft-out
Counts
4 → 135
Calls
4 calls:
76.0ms
(* (/ 1.0 (sqrt PI)) (+ (/ (* (fabs x) (+ (* (* (pow (fabs x) 4) 1.0) 21.0) (* 5.0 (* (pow (fabs x) 6) 1.0)))) (* 5.0 21.0)) (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (pow (fabs x) 3)))))
9.0ms
(* (* (pow (fabs x) 4) 1.0) 21.0)
15.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)

series411.0ms

Counts
4 → 10
Calls
4 calls:
319.0ms
(* (/ 1.0 (sqrt PI)) (+ (/ (* (fabs x) (+ (* (* (pow (fabs x) 4) 1.0) 21.0) (* 5.0 (* (pow (fabs x) 6) 1.0)))) (* 5.0 21.0)) (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (pow (fabs x) 3)))))
47.0ms
(* (* (pow (fabs x) 4) 1.0) 21.0)
45.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify1.5s

Counts
145 → 145
Iterations

Useful iterations: 2 (614.0ms)

IterNodesCost
02824192
19264035
241483705
done50003705

prune615.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02940
13840
done3840

end0.0ms

sample1.1s

Algorithm
intervals
Results
955.0ms13968×body80valid