Details

Time bar (total: 27.5s)

sample336.0ms

Algorithm
intervals
Results
273.0ms3558×body80valid

simplify979.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (192.0ms)

IterNodesCost
031103
190103
236466
3180354
done500054

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b
(sqrt PI)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
120×times-frac
89×add-cube-cbrt *-un-lft-identity
40×add-exp-log add-cbrt-cube
39×swap-sqr associate-*r* associate-*l*
26×pow1
12×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×add-log-exp
3×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ sqrt-prod pow-sqr *-commutative pow-prod-up
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 214
Calls
4 calls:
15.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
12.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms
(sqrt PI)

series68.0ms

Counts
4 → 10
Calls
4 calls:
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms
(sqrt PI)

simplify919.0ms

Counts
224 → 224
Iterations

Useful iterations: done (908.0ms)

IterNodesCost
01463221
14212898
216192387
done50012378

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
44×unpow-prod-down
43×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
38×cube-prod
24×add-exp-log
16×add-cbrt-cube
13×pow-exp
9×pow-unpow
8×pow1 div-exp
7×rem-cube-cbrt
6×div-inv
5×pow-to-exp sqr-pow
4×cbrt-undiv add-log-exp
3×cube-div cube-mult pow-pow unpow3 prod-exp sqrt-prod
2×unpow2
1×rem-sqrt-square sqrt-pow1 pow1/2 cbrt-unprod
Counts
4 → 155
Calls
4 calls:
6.0ms
(pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series123.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify1.1s

Counts
165 → 165
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
01882052
15541821
221021480
done50011480

prune656.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (/ 1.0 (sqrt PI)) (exp (pow (fabs x) 2))) (+ (+ (/ 1.0 (fabs x)) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (* (/ 1.0 (fabs x)) (+ (* (* (/ 3.0 4.0) (/ 1.0 (fabs x))) (pow (/ 1.0 (fabs x)) 3)) (* (/ 15.0 8.0) (* (pow 1.0 6) (/ 1 (pow (fabs x) 6))))))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
1020×frac-add
965×associate-*r/
917×frac-times
619×associate-*l/
242×cube-div
168×un-div-inv
164×flip3-+ flip-+
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
26×unpow-prod-down cube-prod
19×add-cbrt-cube
17×add-exp-log
12×pow1
6×pow-unpow
5×prod-exp cbrt-unprod
4×pow-exp div-inv add-log-exp rem-cube-cbrt
3×cbrt-undiv div-exp associate-*r* pow-prod-down sqrt-prod
2×cube-mult pow-to-exp pow-pow unpow3 sqr-pow
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-*l* *-commutative
Counts
4 → 582
Calls
4 calls:
2.8s
(* (* (/ 1.0 (sqrt PI)) (exp (pow (fabs x) 2))) (+ (+ (/ 1.0 (fabs x)) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (* (/ 1.0 (fabs x)) (+ (* (* (/ 3.0 4.0) (/ 1.0 (fabs x))) (pow (/ 1.0 (fabs x)) 3)) (* (/ 15.0 8.0) (* (pow 1.0 6) (/ 1 (pow (fabs x) 6))))))))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series692.0ms

Counts
4 → 10
Calls
4 calls:
620.0ms
(* (* (/ 1.0 (sqrt PI)) (exp (pow (fabs x) 2))) (+ (+ (/ 1.0 (fabs x)) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (* (/ 1.0 (fabs x)) (+ (* (* (/ 3.0 4.0) (/ 1.0 (fabs x))) (pow (/ 1.0 (fabs x)) 3)) (* (/ 15.0 8.0) (* (pow 1.0 6) (/ 1 (pow (fabs x) 6))))))))
39.0ms
(pow (/ 1.0 (fabs x)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify566.0ms

Counts
592 → 592
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
0178161729
done500061729

prune4.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 0.75 (/ 1 (pow (fabs x) 5)))
0.3b
(* (exp (pow (fabs x) 2)) (+ (* 0.5 (/ 1 (pow (fabs x) 3))) (+ (* 0.75 (/ 1 (pow (fabs x) 5))) (+ (* 1.0 (/ 1 (fabs x))) (* 1.875 (/ 1 (pow (fabs x) 7)))))))
0.3b
(* 1.875 (/ 1 (pow (fabs x) 7)))
0.3b
(/ 1 (pow (fabs x) 5))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
75×times-frac
74×associate-*r/
68×frac-add
58×*-un-lft-identity
54×add-exp-log
53×associate-*r*
52×add-cube-cbrt
44×un-div-inv
34×unpow-prod-down
21×prod-exp
18×div-exp add-cbrt-cube
15×unswap-sqr
14×sqr-pow
10×pow1
9×pow-to-exp rec-exp 1-exp associate-*l* pow-exp
7×flip3-+ associate-/r* flip-+
5×cbrt-unprod
4×add-log-exp
3×cbrt-undiv pow-prod-down *-commutative div-inv associate-/l*
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num inv-pow
Counts
4 → 219
Calls
4 calls:
13.0ms
(* 0.75 (/ 1 (pow (fabs x) 5)))
199.0ms
(* (exp (pow (fabs x) 2)) (+ (* 0.5 (/ 1 (pow (fabs x) 3))) (+ (* 0.75 (/ 1 (pow (fabs x) 5))) (+ (* 1.0 (/ 1 (fabs x))) (* 1.875 (/ 1 (pow (fabs x) 7)))))))
13.0ms
(* 1.875 (/ 1 (pow (fabs x) 7)))
4.0ms
(/ 1 (pow (fabs x) 5))

series483.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 0.75 (/ 1 (pow (fabs x) 5)))
316.0ms
(* (exp (pow (fabs x) 2)) (+ (* 0.5 (/ 1 (pow (fabs x) 3))) (+ (* 0.75 (/ 1 (pow (fabs x) 5))) (+ (* 1.0 (/ 1 (fabs x))) (* 1.875 (/ 1 (pow (fabs x) 7)))))))
68.0ms
(* 1.875 (/ 1 (pow (fabs x) 7)))
49.0ms
(/ 1 (pow (fabs x) 5))

simplify1.6s

Counts
231 → 231
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04305532
113224438
237303968
done50003932

prune819.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03040
13938
done3938

end0.0ms

sample9.7s

Algorithm
intervals
Results
8.4s109911×body80valid