Details

Time bar (total: 22.2s)

sample1.4s

Algorithm
intervals
Results
1.3s3759×body80valid

simplify5.0s

Counts
1 → 1

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* (/ (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
85×add-cbrt-cube
79×add-exp-log
67×times-frac
34×prod-exp cbrt-unprod
32×cbrt-undiv div-exp
30×add-sqr-sqrt associate-*l*
25×*-un-lft-identity
23×add-cube-cbrt
18×sqrt-prod
9×pow1
4×associate-*r* insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
2×frac-times flip3-+ associate-*r/ flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out
Counts
4 → 125
Calls
4 calls:
Slowest
160.0ms
(* (/ (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
2.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series322.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
322.0ms
(* (/ (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.8s

Counts
131 → 131

prune2.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize74.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.3b
(/ (* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI))) (/ (pow (fabs x) 5) (exp (* (fabs x) (fabs x)))))
0.3b
(* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
46×*-un-lft-identity
43×add-cube-cbrt
25×associate-/r*
24×add-exp-log
22×sqrt-prod
18×unpow-prod-down add-cbrt-cube
16×associate-*r*
14×div-exp
8×pow1
6×cbrt-undiv sqrt-div sqr-pow
5×prod-exp associate-/l/
4×frac-times flip3-+ associate-*l* associate-*l/ flip-+ insert-posit16 div-inv add-log-exp unswap-sqr
3×cbrt-unprod
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp associate-*r/
1×clear-num frac-2neg pow-prod-down associate-/r/ *-commutative distribute-lft-out associate-/l*
Counts
4 → 149
Calls
4 calls:
Slowest
81.0ms
(* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI)))
51.0ms
(/ (* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI))) (/ (pow (fabs x) 5) (exp (* (fabs x) (fabs x)))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series528.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
381.0ms
(/ (* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI))) (/ (pow (fabs x) 5) (exp (* (fabs x) (fabs x)))))
146.0ms
(* (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (sqrt (/ 1 PI)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.5s

Counts
157 → 157

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.3b
(/ (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (pow (fabs x) 5))
0.3b
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ 1/2 (* (fabs x) (fabs x))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×times-frac
55×*-un-lft-identity
39×add-cube-cbrt
27×add-cbrt-cube add-exp-log
22×associate-*l*
17×sqrt-prod
15×unpow-prod-down
10×div-exp
8×pow1 cbrt-undiv prod-exp cbrt-unprod distribute-lft-out
7×associate-/r* associate-*r*
6×unswap-sqr
5×sqr-pow
4×insert-posit16 associate-/l* add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times pow-to-exp clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ pow-exp associate-*r/ *-commutative flip-+
Counts
4 → 144
Calls
4 calls:
Slowest
80.0ms
(/ (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (pow (fabs x) 5))
27.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ 1/2 (* (fabs x) (fabs x))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series335.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
228.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ 1/2 (* (fabs x) (fabs x))))
107.0ms
(/ (+ (/ 15/8 (* (fabs x) (fabs x))) 3/4) (pow (fabs x) 5))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify879.0ms

Counts
152 → 152

prune2.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize98.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
2.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify60.0ms

Counts
60 → 60

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes386.0ms

bsearch8.0ms

end0.0ms