Details

Time bar (total: 34.5s)

sample171.0ms

Algorithm
intervals
Results
139.0ms459×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
45586
31256
2259
173
028

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.7s

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
36×pow1
35×*-un-lft-identity
33×add-cube-cbrt
22×pow-prod-down
15×div-exp associate-*l/
14×sqrt-prod
12×frac-add
9×cbrt-undiv
6×frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
5×associate-*r* unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 181
Calls
4 calls:
690.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.9s
(* (/ 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)))))
75.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series518.0ms

Counts
4 → 10
Calls
4 calls:
88.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
386.0ms
(* (/ 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)))))
44.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.1s

Counts
191 → 191
Iterations
IterNodes
24845
11238
0362

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (sqrt (/ 1 PI)) (fma (pow (fabs x) 5) 1/5 (fma (fabs x) 2 (fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)))))
0.1b
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
25×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
18×associate-*l*
16×*-un-lft-identity sqrt-prod
15×add-cube-cbrt
11×times-frac
10×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
6×pow-plus pow-prod-up
5×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×pow2 pow-sqr
1×distribute-rgt-in distribute-lft-in sqrt-div pow3 associate-*l/ div-inv
Counts
4 → 106
Calls
4 calls:
0.0ms
(fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3))
21.0ms
(* (* (fabs x) (fabs x)) (fabs x))
11.0ms
(* (sqrt (/ 1 PI)) (fma (pow (fabs x) 5) 1/5 (fma (fabs x) 2 (fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)))))
92.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)

series651.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3))
44.0ms
(* (* (fabs x) (fabs x)) (fabs x))
357.0ms
(* (sqrt (/ 1 PI)) (fma (pow (fabs x) 5) 1/5 (fma (fabs x) 2 (fma (pow (fabs x) 7) 1/21 (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)))))
75.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)

simplify2.0s

Counts
118 → 118
Iterations
IterNodes
33610
2886
1323
0165

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube add-exp-log
18×times-frac
15×sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
6×associate-/r* pow-plus associate-*r* pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow2 associate-*l* pow-sqr *-commutative
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp pow3 div-inv unswap-sqr
Counts
4 → 113
Calls
4 calls:
23.0ms
(* (* (fabs x) (fabs x)) (fabs x))
77.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)
5.0ms
(/ (fma (pow (fabs x) 5) 1/5 (fma (pow (fabs x) 7) 1/21 (fma 2 (fabs x) (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)))) (sqrt PI))
1.0ms
(sqrt PI)

series482.0ms

Counts
4 → 10
Calls
4 calls:
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
54.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)
398.0ms
(/ (fma (pow (fabs x) 5) 1/5 (fma (pow (fabs x) 7) 1/21 (fma 2 (fabs x) (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify1.1s

Counts
123 → 123
Iterations
IterNodes
32317
2714
1301
0157

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize110.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (/ 1 (sqrt PI)))
1.0b
(cbrt (/ 1 (sqrt PI)))
1.0b
(cbrt (/ 1 (sqrt PI)))
1.0b
(* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
230×cbrt-prod
211×add-sqr-sqrt
186×times-frac
129×*-un-lft-identity
103×add-cube-cbrt
93×sqrt-prod
36×unswap-sqr
33×swap-sqr
25×associate-*r* associate-*l*
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 245
Calls
4 calls:
4.0ms
(cbrt (/ 1 (sqrt PI)))
4.0ms
(cbrt (/ 1 (sqrt PI)))
4.0ms
(cbrt (/ 1 (sqrt PI)))
29.0ms
(* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt (/ 1 (sqrt PI)))
0.0ms
(cbrt (/ 1 (sqrt PI)))
0.0ms
(cbrt (/ 1 (sqrt PI)))
0.0ms
(* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))

simplify6.1s

Counts
249 → 249
Iterations
IterNodes
46588
31556
2580
1317
0188

prune2.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
225
125
022

end0.0ms

sample4.9s

Algorithm
intervals
Results
4.7s13905×body80valid