Details

Time bar (total: 21.1s)

sample840.0ms

Algorithm
intervals
Results
731.0ms3779×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: done (2.5s)

IterNodesCost
031103
190103
240165
3202351
done500149

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)
1.3b
(pow (/ 1.0 (fabs x)) 6)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log cube-prod
9×pow-unpow
8×pow1
7×add-cbrt-cube
6×pow-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-to-exp pow-pow div-exp sqrt-prod sqr-pow
2×rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 123
Calls
4 calls:
7.0ms
(pow (/ 1.0 (fabs x)) 3)
7.0ms
(pow (/ 1.0 (fabs x)) 4)
3.0ms
(sqrt PI)
22.0ms
(pow (/ 1.0 (fabs x)) 6)

series167.0ms

Counts
4 → 10
Calls
4 calls:
53.0ms
(pow (/ 1.0 (fabs x)) 3)
51.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
63.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify1.6s

Counts
133 → 133
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02081438
15311292
217371182
done50001175

prune892.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (fabs x)) (+ (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 6))) (fma (pow (/ 1.0 (fabs x)) 4) (/ 3.0 4.0) 1)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×times-frac
36×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
15×add-exp-log
13×cube-prod associate-*l*
12×add-cbrt-cube
9×pow1
6×pow-unpow
4×expm1-log1p-u pow-exp log1p-expm1-u div-inv add-log-exp
3×div-exp associate-*r* sqrt-prod
2×cbrt-undiv frac-times pow-to-exp pow-pow flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ rem-cube-cbrt unswap-sqr sqr-pow
1×cube-div distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down associate-*l/ *-commutative
Counts
4 → 133
Calls
4 calls:
69.0ms
(* (/ 1.0 (fabs x)) (+ (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 6))) (fma (pow (/ 1.0 (fabs x)) 4) (/ 3.0 4.0) 1)))
13.0ms
(pow (/ 1.0 (fabs x)) 3)
16.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series338.0ms

Counts
4 → 10
Calls
4 calls:
236.0ms
(* (/ 1.0 (fabs x)) (+ (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 6))) (fma (pow (/ 1.0 (fabs x)) 4) (/ 3.0 4.0) 1)))
49.0ms
(pow (/ 1.0 (fabs x)) 3)
53.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.4s

Counts
143 → 143
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02302594
17172399
229902167
done50022161

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
27×times-frac
26×unpow-prod-down
13×cube-prod
10×add-exp-log
8×pow1
7×add-cbrt-cube
6×pow-unpow sqrt-prod
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×div-inv
2×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 div-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv cube-div cube-mult unpow3
Counts
4 → 108
Calls
4 calls:
14.0ms
(pow (/ 1.0 (fabs x)) 3)
12.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series96.0ms

Counts
4 → 8
Calls
4 calls:
50.0ms
(pow (/ 1.0 (fabs x)) 3)
45.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01451091
1385970
21108886
done5000880

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.875 (pow (fabs x) 6))
0.3b
(/ (fma 1.0 (+ (/ 0.75 (pow (fabs x) 4)) (/ 1.875 (pow (fabs x) 6))) 1.0) (fabs x))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×add-sqr-sqrt
44×add-cube-cbrt *-un-lft-identity
25×unpow-prod-down
14×add-exp-log
13×cube-prod
11×add-cbrt-cube
10×associate-/r*
6×pow1 associate-/l*
5×div-exp sqr-pow
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow-unpow pow-exp sqrt-prod
2×pow-to-exp frac-2neg clear-num rem-cube-cbrt
1×cube-div cube-mult rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3
Counts
4 → 139
Calls
4 calls:
16.0ms
(/ 1.875 (pow (fabs x) 6))
5.0ms
(/ (fma 1.0 (+ (/ 0.75 (pow (fabs x) 4)) (/ 1.875 (pow (fabs x) 6))) 1.0) (fabs x))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
2.0ms
(sqrt PI)

series464.0ms

Counts
4 → 10
Calls
4 calls:
97.0ms
(/ 1.875 (pow (fabs x) 6))
303.0ms
(/ (fma 1.0 (+ (/ 0.75 (pow (fabs x) 4)) (/ 1.875 (pow (fabs x) 6))) 1.0) (fabs x))
63.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02382222
15202091
215041885
done50001878

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes384.0ms

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02946
13146
done3146

end0.0ms

sample5.0s

Algorithm
intervals
Results
4.6s16994×body80valid