Details

Time bar (total: 24.5s)

sample924.0ms

Algorithm
intervals
Results
815.0ms3624×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
32303
2401
190
031

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize78.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)
1.3b
(pow (/ 1.0 (fabs x)) 6)

rewrite20.0ms

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)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
5.0ms
(pow (/ 1.0 (fabs x)) 6)

series171.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(pow (/ 1.0 (fabs x)) 3)
43.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
66.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify2.3s

Counts
133 → 133
Iterations
IterNodes
done5000
23859
1789
0208

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize129.0ms

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)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite88.0ms

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:
58.0ms
(* (/ 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)))
10.0ms
(pow (/ 1.0 (fabs x)) 3)
10.0ms
(pow (/ 1.0 (fabs x)) 4)
3.0ms
(sqrt PI)

series344.0ms

Counts
4 → 10
Calls
4 calls:
242.0ms
(* (/ 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)))
46.0ms
(pow (/ 1.0 (fabs x)) 3)
56.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify3.2s

Counts
144 → 144
Iterations
IterNodes
done5000
24978
1912
0230

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite15.0ms

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:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series97.0ms

Counts
4 → 8
Calls
4 calls:
54.0ms
(pow (/ 1.0 (fabs x)) 3)
43.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.4s

Counts
116 → 116
Iterations
IterNodes
done5000
22372
1560
0145

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 0.75 (pow (fabs x) 4))
0.3b
(/ (* (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))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
27×add-exp-log
25×unpow-prod-down
18×add-cbrt-cube
13×associate-/r* cube-prod
9×div-exp sqrt-prod
7×prod-exp
6×pow1
5×cbrt-undiv sqr-pow
4×expm1-log1p-u pow-exp log1p-expm1-u div-inv associate-/l* add-log-exp
3×pow-to-exp pow-unpow cbrt-unprod
2×clear-num frac-2neg rem-cube-cbrt
1×cube-div cube-mult rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3
Counts
4 → 143
Calls
4 calls:
11.0ms
(/ 0.75 (pow (fabs x) 4))
34.0ms
(/ (* (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))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series798.0ms

Counts
4 → 10
Calls
4 calls:
63.0ms
(/ 0.75 (pow (fabs x) 4))
687.0ms
(/ (* (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))
47.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify1.7s

Counts
153 → 153
Iterations
IterNodes
done5002
23778
1814
0280

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes344.0ms

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done37
137
029

end0.0ms

sample5.4s

Algorithm
intervals
Results
5.0s19409×body80valid