Details

Time bar (total: 42.1s)

sample146.0ms

Algorithm
intervals
Results
116.0ms468×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
45586
31256
2259
173
028

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

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)))))
0.1b
(* (/ 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)

rewrite2.5s

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:
1.7s
(* (/ 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)))))
709.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series465.0ms

Counts
4 → 10
Calls
4 calls:
341.0ms
(* (/ 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)))))
70.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.6s

Counts
191 → 191
Iterations
IterNodes
24890
11233
0362

prune3.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))
1.0b
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
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 → 165
Calls
4 calls:
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))
11.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))
0.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

simplify2.9s

Counts
169 → 169
Iterations
IterNodes
54387
41571
3621
2341
1218
0135

prune3.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)
0.2b
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.3b
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3) (+ (* 2 (fabs x)) (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5 (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21)))) (sqrt PI))
1.0b
(sqrt PI)

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
36×pow-prod-up
29×pow-prod-down
27×add-cbrt-cube add-exp-log
22×add-sqr-sqrt pow-sqr
21×*-un-lft-identity add-cube-cbrt
18×times-frac pow-plus
15×sqrt-prod
14×prod-exp cbrt-unprod
13×pow2
6×associate-/r*
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-*l* *-commutative associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ pow1/2 swap-sqr div-exp flip-+ div-inv unswap-sqr
Counts
4 → 150
Calls
4 calls:
83.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)
40.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
213.0ms
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3) (+ (* 2 (fabs x)) (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5 (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21)))) (sqrt PI))
4.0ms
(sqrt PI)

series492.0ms

Counts
4 → 10
Calls
4 calls:
69.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 2/3)
47.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
375.0ms
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 2/3) (+ (* 2 (fabs x)) (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5 (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify4.1s

Counts
160 → 160
Iterations
IterNodes
36849
21412
1421
0183

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
130×pow1
69×pow-prod-up
33×pow-plus
29×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
20×associate-*l*
17×pow2 pow-prod-down prod-exp pow-sqr cbrt-unprod
16×*-un-lft-identity sqrt-prod
15×add-cube-cbrt
11×times-frac
7×associate-*r*
5×unswap-sqr
4×expm1-log1p-u pow3 insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
1×distribute-rgt-in distribute-lft-in sqrt-div associate-*l/ div-inv
Counts
4 → 139
Calls
4 calls:
65.0ms
(* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))
22.0ms
(* (sqrt (/ 1 PI)) (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5 (fma 2 (fabs x) (fma (* (fabs x) (fabs x)) (* (fabs x) 2/3) (* (pow (fabs x) 7) 1/21)))))
0.0ms
(fma (* (fabs x) (fabs x)) (* (fabs x) 2/3) (* (pow (fabs x) 7) 1/21))
10.0ms
(* (fabs x) 2/3)

series589.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))
348.0ms
(* (sqrt (/ 1 PI)) (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5 (fma 2 (fabs x) (fma (* (fabs x) (fabs x)) (* (fabs x) 2/3) (* (pow (fabs x) 7) 1/21)))))
170.0ms
(fma (* (fabs x) (fabs x)) (* (fabs x) 2/3) (* (pow (fabs x) 7) 1/21))
23.0ms
(* (fabs x) 2/3)

simplify4.4s

Counts
151 → 151
Iterations
IterNodes
34503
21214
1421
0188

prune2.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
227
127
022

end0.0ms

sample5.3s

Algorithm
intervals
Results
5.0s13989×body80valid