Details

Time bar (total: 23.1s)

sample327.0ms

Algorithm
intervals
Results
75.0ms140×body80valid
69.0ms51×body1280valid
28.0ms29×body640valid
13.0ms256×pre80true
12.0ms18×body320valid
9.0ms18×body160valid

simplify23.0ms

Counts
1 → 1
Iterations
IterNodes
624
524
423
321
218
116
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow1
6×associate-*r* associate-*l*
3×associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
3 → 62
Calls
3 calls:
28.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
11.0ms
(* e (cos v))
20.0ms
(* e (sin v))

series238.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
53.0ms
(* e (cos v))
52.0ms
(* e (sin v))

simplify1.3s

Counts
71 → 71
Iterations
IterNodes
33249
2786
1268
0114

prune810.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ e (sqrt (+ 1 (* e (cos v)))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (/ e (sqrt (+ 1 (* e (cos v))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×times-frac
49×*-un-lft-identity add-cube-cbrt
36×sqrt-prod
30×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
11×unswap-sqr
10×pow1
6×associate-/r* sqrt-div prod-exp associate-/r/ cbrt-unprod
5×cbrt-undiv div-exp
4×insert-posit16 add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
4 → 158
Calls
4 calls:
7.0ms
(/ e (sqrt (+ 1 (* e (cos v)))))
8.0ms
(* e (cos v))
21.0ms
(* e (cos v))
45.0ms
(* (/ e (sqrt (+ 1 (* e (cos v))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ e (sqrt (+ 1 (* e (cos v)))))
53.0ms
(* e (cos v))
48.0ms
(* e (cos v))
121.0ms
(* (/ e (sqrt (+ 1 (* e (cos v))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))

simplify2.7s

Counts
170 → 170
Iterations
IterNodes
35898
21764
1622
0231

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos v) e)
0.1b
(* (* (cos v) e) (* (cos v) e))
0.1b
(pow (* e (cos v)) 3)
0.1b
(* (/ e (sqrt (+ (pow 1 3) (pow (* e (cos v)) 3)))) (/ (* (sin v) (sqrt (+ (* (* (cos v) e) (* (cos v) e)) (- 1 (* (cos v) e))))) (sqrt (+ (* (cos v) e) 1))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
42×add-cbrt-cube add-exp-log
37×associate-*l*
36×add-sqr-sqrt
35×*-un-lft-identity times-frac
26×add-cube-cbrt
22×sqrt-prod
20×pow-prod-down
18×prod-exp cbrt-unprod
16×associate-*r*
7×cbrt-undiv div-exp
6×distribute-lft-out
4×cube-mult sqrt-div associate-/r/ pow-sqr pow-prod-up insert-posit16 add-log-exp unswap-sqr
3×pow-unpow sum-cubes *-commutative
2×pow-pow flip3-+ pow-plus pow-exp flip-+ div-inv rem-cube-cbrt
1×pow2 frac-times pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr associate-*l/ associate-*r/ sqr-pow
Counts
4 → 150
Calls
4 calls:
7.0ms
(* (cos v) e)
40.0ms
(* (* (cos v) e) (* (cos v) e))
12.0ms
(pow (* e (cos v)) 3)
166.0ms
(* (/ e (sqrt (+ (pow 1 3) (pow (* e (cos v)) 3)))) (/ (* (sin v) (sqrt (+ (* (* (cos v) e) (* (cos v) e)) (- 1 (* (cos v) e))))) (sqrt (+ (* (cos v) e) 1))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (cos v) e)
72.0ms
(* (* (cos v) e) (* (cos v) e))
87.0ms
(pow (* e (cos v)) 3)
340.0ms
(* (/ e (sqrt (+ (pow 1 3) (pow (* e (cos v)) 3)))) (/ (* (sin v) (sqrt (+ (* (* (cos v) e) (* (cos v) e)) (- 1 (* (cos v) e))))) (sqrt (+ (* (cos v) e) 1))))

simplify1.3s

Counts
162 → 162
Iterations
IterNodes
22662
1696
0266

prune3.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (* (cos v) e) 1) e)
0.1b
(* (cos v) e)
0.2b
(/ (sin v) (/ (+ (* (cos v) e) 1) e))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
16×associate-/r*
12×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×associate-*r* associate-*l* insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 120
Calls
3 calls:
25.0ms
(/ (+ (* (cos v) e) 1) e)
7.0ms
(* (cos v) e)
30.0ms
(/ (sin v) (/ (+ (* (cos v) e) 1) e))

series232.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (+ (* (cos v) e) 1) e)
54.0ms
(* (cos v) e)
99.0ms
(/ (sin v) (/ (+ (* (cos v) e) 1) e))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
35792
21674
1563
0219

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.0s1497×body1280valid
1.5s1296×body640valid
837.0ms4224×body80valid
625.0ms8000×pre80true
554.0ms642×body320valid
134.0ms341×body160valid