Details

Time bar (total: 35.6s)

sample944.0ms

Algorithm
intervals
Results
819.0ms3566×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: done (1.8s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize75.0ms

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

rewrite38.0ms

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:
7.0ms
(pow (/ 1.0 (fabs x)) 3)
15.0ms
(pow (/ 1.0 (fabs x)) 4)
9.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series128.0ms

Counts
4 → 10
Calls
4 calls:
40.0ms
(pow (/ 1.0 (fabs x)) 3)
47.0ms
(pow (/ 1.0 (fabs x)) 4)
40.0ms
(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

prune777.0ms

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

rewrite124.0ms

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:
93.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
8.0ms
(pow (/ 1.0 (fabs x)) 3)
14.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series239.0ms

Counts
4 → 10
Calls
4 calls:
146.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
51.0ms
(pow (/ 1.0 (fabs x)) 3)
41.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.1s

Counts
133 → 133
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02051930
15591750
221441568
done50011565

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (pow (fabs x) 3)) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
0.4b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite631.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
59×times-frac
44×add-cube-cbrt *-un-lft-identity
43×associate-*l*
23×unpow-prod-down
22×add-exp-log
16×associate-*r*
14×add-cbrt-cube
10×pow1 cube-prod
9×frac-times
8×associate-*r/
7×unswap-sqr
6×frac-add prod-exp
5×div-exp associate-*l/ sqr-pow
4×flip3-+ cbrt-unprod flip-+ add-log-exp
3×cube-mult pow-unpow unpow3 pow-exp sqrt-prod div-inv
2×cbrt-undiv pow-to-exp pow-prod-down *-commutative
1×distribute-rgt-in rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 153
Calls
4 calls:
498.0ms
(* (/ 1.0 (pow (fabs x) 3)) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
105.0ms
(* (+ (* (/ 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)

series337.0ms

Counts
4 → 10
Calls
4 calls:
162.0ms
(* (/ 1.0 (pow (fabs x) 3)) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
120.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
55.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify3.1s

Counts
163 → 163
Iterations

Useful iterations: done (3.1s)

IterNodesCost
03163454
19653295
242923040
done50003039

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

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

rewrite161.0ms

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:
48.0ms
(* (/ 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)))
15.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series253.0ms

Counts
4 → 10
Calls
4 calls:
99.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
107.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
46.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.9s

Counts
144 → 144
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02542233
16142062
220911897
done50001881

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

regimes381.0ms

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03997
15597
done5597

end0.0ms

sample17.4s

Algorithm
intervals
Results
15.8s57200×body80valid