Details

Time bar (total: 43.2s)

sample124.0ms

Algorithm
intervals
Results
94.0ms459×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
31089
2240
174
028

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite13.1s

Algorithm
rewrite-expression-head
Rules
257×add-exp-log
184×prod-exp
147×add-cbrt-cube
98×cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac div-exp
26×*-un-lft-identity add-cube-cbrt
15×cbrt-undiv
12×rec-exp 1-exp
4×insert-posit16 add-log-exp
3×associate-*r* associate-*l/ *-commutative sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 185
Calls
4 calls:
12.1s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
864.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
74.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series223.0ms

Counts
4 → 10
Calls
4 calls:
97.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
65.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.0s

Counts
195 → 195
Iterations
IterNodes
done5001
22357
1929
0321

prune890.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite5.3s

Algorithm
rewrite-expression-head
Rules
119×add-exp-log
76×prod-exp
75×add-cbrt-cube
48×associate-*l*
46×add-sqr-sqrt
44×cbrt-unprod
40×times-frac
39×associate-*l/
36×pow1 frac-add
35×*-un-lft-identity
33×add-cube-cbrt
22×frac-times pow-prod-down associate-*r/
15×div-exp
14×flip3-+ sqrt-prod flip-+
9×cbrt-undiv
6×rec-exp 1-exp
5×associate-*r* unswap-sqr
4×insert-posit16 add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 189
Calls
4 calls:
4.3s
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
863.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
88.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series806.0ms

Counts
4 → 10
Calls
4 calls:
647.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
100.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.0s

Counts
199 → 199
Iterations
IterNodes
done5000
11389
0403

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) 21)
0.1b
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (pow (fabs x) 7) 21)))
0.1b
(* 1/5 (pow (fabs x) 5))
0.2b
(* 2/3 (* (fabs x) (fabs x)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
36×*-un-lft-identity
33×add-cube-cbrt
32×times-frac
22×associate-*l*
21×add-exp-log
16×unpow-prod-down sqrt-prod
15×add-cbrt-cube
12×associate-*r*
11×pow1
8×unswap-sqr
7×prod-exp associate-/l*
6×sqr-pow
5×sqrt-div cbrt-unprod
4×frac-times flip3-+ pow-prod-down frac-add associate-*r/ flip-+ insert-posit16 add-log-exp
3×associate-/r* div-exp *-commutative
2×pow-to-exp pow-exp div-inv
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in associate-*l/ distribute-lft-out
Counts
4 → 139
Calls
4 calls:
9.0ms
(/ (pow (fabs x) 7) 21)
173.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (pow (fabs x) 7) 21)))
21.0ms
(* 1/5 (pow (fabs x) 5))
32.0ms
(* 2/3 (* (fabs x) (fabs x)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (pow (fabs x) 7) 21)
405.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (pow (fabs x) 7) 21)))
87.0ms
(* 1/5 (pow (fabs x) 5))
35.0ms
(* 2/3 (* (fabs x) (fabs x)))

simplify3.1s

Counts
151 → 151
Iterations
IterNodes
done5005
22854
1775
0285

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) (sqrt 21))
0.1b
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (/ (pow (fabs x) 7) (sqrt 21)) (sqrt 21))))
0.1b
(* 1/5 (pow (fabs x) 5))
0.2b
(* 2/3 (* (fabs x) (fabs x)))

rewrite625.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
53×times-frac
50×*-un-lft-identity
47×add-cube-cbrt
40×sqrt-prod
25×unpow-prod-down
22×associate-*l*
21×add-exp-log
15×add-cbrt-cube
12×associate-*r*
11×pow1
9×sqr-pow
8×unswap-sqr
7×prod-exp associate-/l*
6×associate-/r*
5×sqrt-div cbrt-unprod
4×frac-times flip3-+ pow-prod-down frac-add associate-*r/ flip-+ insert-posit16 add-log-exp
3×div-exp *-commutative
2×pow-to-exp pow-exp div-inv
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in associate-*l/ distribute-lft-out
Counts
4 → 163
Calls
4 calls:
9.0ms
(/ (pow (fabs x) 7) (sqrt 21))
573.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (/ (pow (fabs x) 7) (sqrt 21)) (sqrt 21))))
11.0ms
(* 1/5 (pow (fabs x) 5))
27.0ms
(* 2/3 (* (fabs x) (fabs x)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(/ (pow (fabs x) 7) (sqrt 21))
521.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x)))))) (/ (/ (pow (fabs x) 7) (sqrt 21)) (sqrt 21))))
65.0ms
(* 1/5 (pow (fabs x) 5))
49.0ms
(* 2/3 (* (fabs x) (fabs x)))

simplify2.6s

Counts
175 → 175
Iterations
IterNodes
done5010
22831
1811
0314

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample3.4s

Algorithm
intervals
Results
3.2s13746×body80valid