Details

Time bar (total: 17.4s)

sample756.0ms

Algorithm
intervals
Results
653.0ms3039×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: done (1.7s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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×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 → 115
Calls
4 calls:
14.0ms
(pow (/ 1.0 (fabs x)) 3)
8.0ms
(pow (/ 1.0 (fabs x)) 4)
13.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series132.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(pow (/ 1.0 (fabs x)) 3)
45.0ms
(pow (/ 1.0 (fabs x)) 4)
41.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.4s

Counts
125 → 125
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01591392
14301254
213571152
done50001140

prune749.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

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-*r*
12×add-cbrt-cube
9×pow1
6×pow-unpow
4×pow-exp div-inv add-log-exp
3×div-exp associate-*l* sqrt-prod
2×cbrt-undiv frac-times pow-to-exp pow-pow flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+ rem-cube-cbrt unswap-sqr sqr-pow
1×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*r/ pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
82.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
15.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series205.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
48.0ms
(pow (/ 1.0 (fabs x)) 3)
48.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.0s

Counts
133 → 133
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02051930
15591750
221441568
done50011565

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
0.4b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
43×times-frac
36×add-cube-cbrt *-un-lft-identity
32×add-exp-log
30×unpow-prod-down associate-*r*
16×associate-*l*
14×add-cbrt-cube
10×prod-exp unswap-sqr
8×pow1 div-exp
6×pow-exp
4×cbrt-unprod div-inv add-log-exp sqr-pow
3×pow-to-exp pow-unpow associate-*l/ sqrt-prod
2×cbrt-undiv frac-times flip3-+ *-commutative flip-+
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2 associate-*r/ pow-prod-down
Counts
4 → 134
Calls
4 calls:
57.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
123.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
7.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series310.0ms

Counts
4 → 10
Calls
4 calls:
111.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
136.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
63.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.7s

Counts
144 → 144
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02442213
15872046
219941877
done50001863

prune1.7s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
0.4b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
43×times-frac
36×add-cube-cbrt *-un-lft-identity
32×add-exp-log
30×unpow-prod-down associate-*r*
16×associate-*l*
14×add-cbrt-cube
10×prod-exp unswap-sqr
8×pow1 div-exp
6×pow-exp
4×cbrt-unprod div-inv add-log-exp sqr-pow
3×pow-to-exp pow-unpow associate-*l/ sqrt-prod
2×cbrt-undiv frac-times flip3-+ *-commutative flip-+
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2 associate-*r/ pow-prod-down
Counts
4 → 134
Calls
4 calls:
56.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
91.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
13.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series336.0ms

Counts
4 → 10
Calls
4 calls:
120.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
152.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
64.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.9s

Counts
144 → 144
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02422206
15812045
219601870
done50001856

prune1.2s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.2b

regimes532.0ms

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03553
14653
done4653

end0.0ms

sample913.0ms

Algorithm
intervals
Results
791.0ms3534×body80valid