Details

Time bar (total: 22.5s)

sample1.6s

Algorithm
intervals
Results
1.5s3611×body80valid

simplify4.3s

Counts
1 → 1

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize73.0ms

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)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
69×add-cbrt-cube
63×add-exp-log
38×add-sqr-sqrt
35×*-un-lft-identity add-cube-cbrt
32×cbrt-undiv div-exp
27×sqrt-prod
26×associate-/l*
19×prod-exp cbrt-unprod
7×pow1
5×div-inv
4×insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 135
Calls
4 calls:
Slowest
65.0ms
(/ (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series198.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
197.0ms
(/ (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.0s

Counts
141 → 141

prune2.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.2b

localize95.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
35×add-exp-log
34×add-cbrt-cube
28×times-frac
24×*-un-lft-identity
23×associate-*l*
22×add-cube-cbrt
17×prod-exp sqrt-prod
13×pow1 cbrt-unprod
11×associate-*r*
10×frac-times div-exp
8×cbrt-undiv
7×associate-*l/
6×sqrt-div associate-*r/ unswap-sqr
4×flip3-+ pow-prod-down flip-+ insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative div-inv
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp distribute-lft-out
Counts
4 → 125
Calls
4 calls:
Slowest
87.0ms
(* (* (sqrt (/ 1 PI)) (/ (exp (* (fabs x) (fabs x))) (pow (fabs x) 5))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
45.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ 1/2 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series538.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
321.0ms
(* (* (sqrt (/ 1 PI)) (/ (exp (* (fabs x) (fabs x))) (pow (fabs x) 5))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
217.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (/ 1/2 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.4s

Counts
133 → 133

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
18×add-sqr-sqrt add-cbrt-cube
16×*-un-lft-identity
14×times-frac add-cube-cbrt
13×prod-exp
12×div-exp
11×associate-*l*
9×unpow-prod-down
8×pow1
7×associate-/r*
6×sqrt-prod
5×cbrt-unprod
4×pow-to-exp cbrt-undiv associate-*r* pow-exp insert-posit16 add-log-exp
3×associate-*r/ sqr-pow
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+ div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in sqrt-div pow-prod-down associate-*l/ *-commutative distribute-lft-out associate-/l* unswap-sqr associate-/l/
Counts
4 → 106
Calls
4 calls:
Slowest
85.0ms
(* (/ (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (pow (fabs x) 5)) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
21.0ms
(/ (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (pow (fabs x) 5))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series539.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
302.0ms
(* (/ (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (pow (fabs x) 5)) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
237.0ms
(/ (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (pow (fabs x) 5))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify883.0ms

Counts
114 → 114

prune2.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
18×add-cbrt-cube
13×add-sqr-sqrt *-un-lft-identity
12×prod-exp
11×pow1 add-cube-cbrt
10×associate-*r/
9×div-exp
7×associate-/r* times-frac
6×unpow-prod-down sqrt-div sqrt-prod cbrt-unprod
5×associate-/l/
4×frac-times flip3-+ associate-*r* flip-+ insert-posit16 add-log-exp
3×pow-to-exp cbrt-undiv pow-prod-down pow-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ sqr-pow
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-*l* *-commutative div-inv distribute-lft-out associate-/l*
Counts
4 → 98
Calls
4 calls:
Slowest
83.0ms
(/ (* (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (pow (fabs x) 5))
72.0ms
(* (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series493.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
266.0ms
(/ (* (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x))))) (pow (fabs x) 5))
227.0ms
(* (* (exp (* (fabs x) (fabs x))) (sqrt (/ 1 PI))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.3s

Counts
106 → 106

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes432.0ms

bsearch13.0ms

end0.0ms