Details

Time bar (total: 6.7s)

sample329.0ms

Algorithm
intervals
Results
260.0ms3254×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
09061
140658
2226736
3500135
done500135

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize39.0ms

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)

rewrite24.0ms

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:
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
7.0ms
(pow (/ 1.0 (fabs x)) 6)

series116.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
51.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify75.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0545752
12496663
25001647
done5001647

prune872.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite89.0ms

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×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 distribute-lft-out
Counts
4 → 134
Calls
4 calls:
71.0ms
(* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series234.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
36.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify112.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07221344
136371199
250021192
done50021192

prune740.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (fabs x)) (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
43×add-sqr-sqrt
40×times-frac
39×add-cbrt-cube
37×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
24×div-exp
20×prod-exp
13×cbrt-undiv cube-prod associate-*l*
12×cbrt-unprod
9×pow1
7×associate-*r*
6×pow-unpow pow-exp
5×div-inv
4×expm1-log1p-u pow-to-exp log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow-pow rem-cube-cbrt unswap-sqr sqr-pow
1×cube-div cube-mult frac-times rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 149
Calls
4 calls:
38.0ms
(* (/ 1.0 (fabs x)) (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series130.0ms

Counts
4 → 10
Calls
4 calls:
65.0ms
(* (/ 1.0 (fabs x)) (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0))
31.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify119.0ms

Counts
159 → 159
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07841170
141851000
25001995
done5001995

prune760.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (fabs x)) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite33.0ms

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 pow-to-exp pow-pow prod-exp cbrt-unprod fma-udef 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 → 129
Calls
4 calls:
14.0ms
(* (/ 1.0 (fabs x)) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series158.0ms

Counts
4 → 10
Calls
4 calls:
87.0ms
(* (/ 1.0 (fabs x)) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
38.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify85.0ms

Counts
139 → 139
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0543936
12689824
25001808
done5001808

prune598.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes301.0ms

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04133
14133
done4133

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s17495×body80valid