Details

Time bar (total: 20.1s)

sample855.0ms

Algorithm
intervals
Results
731.0ms3603×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
32303
2401
190
031

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize106.0ms

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)
1.2b
(pow (/ 1.0 (fabs x)) 6)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
37×add-sqr-sqrt
36×*-un-lft-identity times-frac add-cube-cbrt
13×cube-prod add-exp-log
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×cube-div cube-mult cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 123
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
11.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
5.0ms
(pow (/ 1.0 (fabs x)) 6)

series158.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(pow (/ 1.0 (fabs x)) 3)
45.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
75.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify2.3s

Counts
133 → 133
Iterations
IterNodes
done5000
23859
1789
0208

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize112.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
37×times-frac
36×add-cube-cbrt
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 associate-*r* pow-exp log1p-expm1-u div-inv add-log-exp
3×div-exp sqrt-prod
2×frac-times pow-to-exp cbrt-undiv pow-pow flip3-+ prod-exp associate-*r/ 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 distribute-lft-out
Counts
4 → 134
Calls
4 calls:
55.0ms
(* (/ 1.0 (fabs x)) (+ (fma (pow (/ 1.0 (fabs x)) 4) (/ 3.0 4.0) 1) (/ (* 15.0 (/ 1.0 (pow (fabs x) 6))) 8.0)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series362.0ms

Counts
4 → 10
Calls
4 calls:
253.0ms
(* (/ 1.0 (fabs x)) (+ (fma (pow (/ 1.0 (fabs x)) 4) (/ 3.0 4.0) 1) (/ (* 15.0 (/ 1.0 (pow (fabs x) 6))) 8.0)))
52.0ms
(pow (/ 1.0 (fabs x)) 3)
57.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.8s

Counts
144 → 144
Iterations
IterNodes
done5000
24978
1912
0230

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

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)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
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×cube-div cube-mult cbrt-undiv unpow3
Counts
4 → 108
Calls
4 calls:
8.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series126.0ms

Counts
4 → 8
Calls
4 calls:
55.0ms
(pow (/ 1.0 (fabs x)) 3)
71.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.3s

Counts
116 → 116
Iterations
IterNodes
done5000
22372
1560
0145

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize127.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))
0.4b
(/ (* (fma (pow (/ 1.0 (fabs x)) 3) (/ 1.0 2.0) (/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))) (* (pow (exp (fabs x)) (fabs x)) 1.0)) (sqrt PI))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt times-frac add-exp-log
26×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube
13×unpow-prod-down cube-prod
9×associate-/r* sqrt-prod
8×div-exp prod-exp
6×pow1 cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×pow-unpow pow-exp
2×pow-to-exp clear-num frac-2neg associate-*l/ associate-/l* rem-cube-cbrt associate-/l/
1×cube-div cube-mult rem-sqrt-square pow-pow sqrt-pow1 flip3-+ pow1/2 unpow3 flip-+ sqr-pow
Counts
4 → 121
Calls
4 calls:
405.0ms
(/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))
20.0ms
(/ (* (fma (pow (/ 1.0 (fabs x)) 3) (/ 1.0 2.0) (/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))) (* (pow (exp (fabs x)) (fabs x)) 1.0)) (sqrt PI))
11.0ms
(pow (/ 1.0 (fabs x)) 3)
2.0ms
(sqrt PI)

series1.1s

Counts
4 → 10
Calls
4 calls:
263.0ms
(/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))
769.0ms
(/ (* (fma (pow (/ 1.0 (fabs x)) 3) (/ 1.0 2.0) (/ (* (+ (+ (/ 1.875 (pow (fabs x) 6)) (/ 0.75 (pow (fabs x) 4))) 1) 1.0) (fabs x))) (* (pow (exp (fabs x)) (fabs x)) 1.0)) (sqrt PI))
46.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify628.0ms

Counts
131 → 131
Iterations
IterNodes
done5000
1847
0253

prune953.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes351.0ms

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done37
137
029

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.2s8764×body80valid