Details

Time bar (total: 2.6m)

sample185.0ms

Algorithm
intervals
Results
151.0ms431×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
31250
2261
175
028

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize105.0ms

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 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.2b
(* (/ 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)

rewrite1.8m

Algorithm
rewrite-expression-head
Rules
4476×associate-*l/
4446×frac-add
2586×associate-/r*
2184×frac-times
2037×associate-/l*
1829×add-sqr-sqrt
1749×*-un-lft-identity
1592×add-cube-cbrt
1183×flip3-+ flip-+
679×clear-num frac-2neg
563×sqrt-prod
256×associate-*l*
182×associate-*r/
162×unswap-sqr
155×associate-*r*
129×distribute-lft-out
119×add-exp-log
76×prod-exp
75×add-cbrt-cube
64×times-frac
44×cbrt-unprod
36×pow1
34×div-inv
22×pow-prod-down
18×*-commutative
15×swap-sqr div-exp
12×associate-+l+
9×cbrt-undiv
6×distribute-rgt-in +-commutative rec-exp distribute-lft-in 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 2743
Calls
4 calls:
1.8m
(* (/ 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 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
2.1s
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
177.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series606.0ms

Counts
4 → 10
Calls
4 calls:
432.0ms
(* (/ 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 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
109.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
64.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify9.6s

Counts
2753 → 2753
Iterations
IterNodes
done5001
03448

prune15.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
37×associate-*l*
27×pow1
25×*-un-lft-identity
24×add-cube-cbrt
16×associate-*r* add-exp-log sqrt-prod
14×unswap-sqr
13×add-cbrt-cube
11×times-frac
9×sqrt-div associate-*l/
7×prod-exp
6×pow-plus *-commutative pow-prod-up
5×pow-prod-down cbrt-unprod
4×expm1-log1p-u unpow-prod-down swap-sqr insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
2×pow2 pow3 pow-sqr sqr-pow
1×distribute-rgt-in pow-to-exp clear-num frac-2neg distribute-lft-in pow-exp div-inv
Counts
4 → 138
Calls
4 calls:
60.0ms
(* (* (fabs x) (fabs x)) (fabs x))
25.0ms
(* 1/21 (pow (fabs x) 7))
0.0ms
(fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* 1/21 (pow (fabs x) 7)))
23.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* 1/21 (pow (fabs x) 7))))))

series829.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* (fabs x) (fabs x)) (fabs x))
128.0ms
(* 1/21 (pow (fabs x) 7))
206.0ms
(fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* 1/21 (pow (fabs x) 7)))
458.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* 1/21 (pow (fabs x) 7))))))

simplify2.3s

Counts
150 → 150
Iterations
IterNodes
done5003
21317
1463
0208

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
37×associate-*l*
27×pow1
25×*-un-lft-identity
24×add-cube-cbrt
16×associate-*r* add-exp-log sqrt-prod
14×unswap-sqr
13×add-cbrt-cube
11×times-frac
9×sqrt-div associate-*l/
7×prod-exp
6×pow-plus *-commutative pow-prod-up
5×pow-prod-down cbrt-unprod
4×expm1-log1p-u unpow-prod-down swap-sqr insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
2×pow2 pow3 pow-sqr sqr-pow
1×distribute-rgt-in pow-to-exp clear-num frac-2neg distribute-lft-in pow-exp div-inv
Counts
4 → 138
Calls
4 calls:
32.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2))))
52.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2)))))))
36.0ms
(* 1/21 (pow (fabs x) (/ 7 2)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (fabs x) (fabs x)) (fabs x))
206.0ms
(fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2))))
510.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma 2/3 (* (* (fabs x) (fabs x)) (fabs x)) (* (* 1/21 (pow (fabs x) (/ 7 2))) (pow (fabs x) (/ 7 2)))))))
114.0ms
(* 1/21 (pow (fabs x) (/ 7 2)))

simplify2.0s

Counts
150 → 150
Iterations
IterNodes
done5001
21331
1467
0214

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 2/3 (fabs x)) (fabs x))
0.3b
(/ (fma (pow (fabs x) 5) 1/5 (fma 1/21 (pow (fabs x) 7) (fma (* (* 2/3 (fabs x)) (fabs x)) (fabs x) (+ (fabs x) (fabs x))))) (sqrt PI))
0.4b
(* 2/3 (fabs x))
1.0b
(sqrt PI)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
18×times-frac associate-*l*
15×sqrt-prod
13×add-cbrt-cube add-exp-log
12×pow1
9×associate-*r*
6×associate-/r*
5×unswap-sqr
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 113
Calls
4 calls:
55.0ms
(* (* 2/3 (fabs x)) (fabs x))
6.0ms
(/ (fma (pow (fabs x) 5) 1/5 (fma 1/21 (pow (fabs x) 7) (fma (* (* 2/3 (fabs x)) (fabs x)) (fabs x) (+ (fabs x) (fabs x))))) (sqrt PI))
6.0ms
(* 2/3 (fabs x))
1.0ms
(sqrt PI)

series470.0ms

Counts
4 → 10
Calls
4 calls:
41.0ms
(* (* 2/3 (fabs x)) (fabs x))
397.0ms
(/ (fma (pow (fabs x) 5) 1/5 (fma 1/21 (pow (fabs x) 7) (fma (* (* 2/3 (fabs x)) (fabs x)) (fabs x) (+ (fabs x) (fabs x))))) (sqrt PI))
31.0ms
(* 2/3 (fabs x))
0.0ms
(sqrt PI)

simplify2.6s

Counts
123 → 123
Iterations
IterNodes
done5001
32388
2823
1325
0159

prune762.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
022

end0.0ms

sample5.7s

Algorithm
intervals
Results
5.3s13701×body80valid