Details

Time bar (total: 51.5s)

sample1.4s

Algorithm
intervals
Results
1.3s3635×body80valid

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
48119
31785
2390
193
031

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
249×pow1
138×pow-prod-up
130×add-cbrt-cube add-exp-log
68×prod-exp cbrt-unprod
66×pow-plus
34×pow2 pow-sqr
30×cbrt-undiv div-exp pow-prod-down
13×times-frac
10×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
8×pow3
7×associate-/l*
4×insert-posit16 add-log-exp
3×sqrt-prod div-inv
2×associate-*r* associate-*l* *-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 203
Calls
4 calls:
142.0ms
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
100.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
83.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)

series185.0ms

Counts
4 → 10
Calls
4 calls:
68.0ms
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
46.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
70.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.3s

Counts
213 → 213
Iterations
IterNodes
34410
21175
1404
0182

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize84.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (fabs x) (fabs x)) (fabs x))
0.3b
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
148×pow1
75×pow-prod-up
39×pow-plus
35×add-cbrt-cube
34×add-exp-log
30×add-sqr-sqrt
25×*-un-lft-identity
24×associate-*l*
20×times-frac prod-exp add-cube-cbrt cbrt-unprod
19×pow2 pow-prod-down pow-sqr
13×sqrt-prod
9×associate-*r*
8×frac-add
5×frac-times pow3 associate-*r/
4×flip3-+ flip-+ insert-posit16 add-log-exp unswap-sqr
3×*-commutative distribute-lft-out
1×distribute-rgt-in cbrt-undiv rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
4 → 165
Calls
4 calls:
24.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0s
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
70.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series455.0ms

Counts
4 → 10
Calls
4 calls:
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
381.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
45.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.5s

Counts
175 → 175
Iterations
IterNodes
23971
1846
0239

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (exp (* (fabs x) (fabs x))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
130×pow1
69×pow-prod-up
34×add-cbrt-cube
33×pow-plus
32×add-exp-log
19×prod-exp cbrt-unprod
17×pow2 pow-sqr
16×pow-prod-down
15×add-sqr-sqrt
14×*-un-lft-identity
9×add-cube-cbrt
8×associate-*l* frac-add
6×associate-*r* sqrt-prod
5×frac-times associate-*r/
4×flip3-+ times-frac pow3 flip-+ insert-posit16 add-log-exp
3×distribute-lft-out
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp *-commutative unswap-sqr
1×distribute-rgt-in distribute-lft-in associate-*l/ div-inv
Counts
4 → 136
Calls
4 calls:
2.0s
(* (/ (exp (* (fabs x) (fabs x))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
79.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series542.0ms

Counts
4 → 8
Calls
4 calls:
492.0ms
(* (/ (exp (* (fabs x) (fabs x))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x)))))
50.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.3s

Counts
144 → 144
Iterations
IterNodes
23773
1789
0223

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (exp (* (fabs x) (fabs x))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x))))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite602.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
69×pow-prod-up
37×add-cbrt-cube
35×add-exp-log
33×pow-plus
19×prod-exp cbrt-unprod
17×pow2 pow-sqr
15×pow-prod-down
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt sqrt-prod
5×associate-*r/ associate-/l/
4×cbrt-undiv div-exp pow3 frac-add insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
1×clear-num associate-/r* frac-2neg times-frac associate-*r* associate-*l* *-commutative div-inv associate-/l*
Counts
4 → 120
Calls
4 calls:
529.0ms
(/ (* (exp (* (fabs x) (fabs x))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x))))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
68.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series552.0ms

Counts
4 → 8
Calls
4 calls:
490.0ms
(/ (* (exp (* (fabs x) (fabs x))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (/ (+ (/ 1/2 (* (fabs x) (fabs x))) 1) (fabs x))))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
62.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.2s

Counts
128 → 128
Iterations
IterNodes
22397
1516
0174

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes228.0ms

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
231
131
025

end0.0ms

sample23.8s

Algorithm
intervals
Results
23.0s55913×body80valid