Details

Time bar (total: 17.2s)

sample332.0ms

Algorithm
intervals
Results
111.0ms51×body1280valid
27.0ms42×body640valid
19.0ms137×body80valid
7.0ms256×pre80true
7.0ms13×body320valid
4.0ms13×body160valid

simplify111.0ms

Counts
1 → 1
Iterations
IterNodes
done22
422
321
218
114
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite87.0ms

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 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 → 59
Calls
3 calls:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms
(* e (cos v))
50.0ms
(* e (sin v))

series221.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
42.0ms
(* e (cos v))
73.0ms
(* e (sin v))

simplify1.3s

Counts
68 → 68
Iterations
IterNodes
done5001
21506
1304
0117

prune487.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
12×add-cbrt-cube add-exp-log
7×pow1
6×associate-*l*
4×associate-/r/
3×associate-/r* prod-exp cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×clear-num frac-2neg associate-*r/
Counts
3 → 81
Calls
3 calls:
10.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
28.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series248.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
56.0ms
(* e (cos v))
122.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify1.5s

Counts
90 → 90
Iterations
IterNodes
done5000
21880
1406
0155

prune570.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (* (/ (sin v) (+ (* (* e (cos v)) (* (* e (cos v)) (* e (cos v)))) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (* e (cos v)) (* e (cos v))) (* 1.0 (* e (cos v)))))))
0.2b
(* (* e (cos v)) (* e (cos v)))
0.2b
(* (* e (cos v)) (* e (cos v)))

rewrite594.0ms

Algorithm
rewrite-expression-head
Rules
89×pow1
39×add-cbrt-cube add-exp-log
38×pow-prod-down
22×prod-exp cbrt-unprod
9×add-sqr-sqrt
8×associate-*l* pow-sqr pow-prod-up
7×*-un-lft-identity associate-*r/ add-cube-cbrt
6×associate-*r*
4×distribute-rgt-in distribute-lft-in pow-plus *-commutative add-log-exp
2×pow2 frac-times flip3-+ swap-sqr flip-+
1×cbrt-undiv div-exp associate-*l/ unswap-sqr
Counts
4 → 115
Calls
4 calls:
13.0ms
(* e (cos v))
486.0ms
(* e (* (/ (sin v) (+ (* (* e (cos v)) (* (* e (cos v)) (* e (cos v)))) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (* e (cos v)) (* e (cos v))) (* 1.0 (* e (cos v)))))))
45.0ms
(* (* e (cos v)) (* e (cos v)))
42.0ms
(* (* e (cos v)) (* e (cos v)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* e (cos v))
260.0ms
(* e (* (/ (sin v) (+ (* (* e (cos v)) (* (* e (cos v)) (* e (cos v)))) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (* e (cos v)) (* e (cos v))) (* 1.0 (* e (cos v)))))))
85.0ms
(* (* e (cos v)) (* e (cos v)))
65.0ms
(* (* e (cos v)) (* e (cos v)))

simplify2.4s

Counts
127 → 127
Iterations
IterNodes
done5000
23065
1506
0154

prune712.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b
(* e (cos v))
0.2b
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite83.0ms

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* 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 → 117
Calls
3 calls:
40.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms
(* e (cos v))
22.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
48.0ms
(* e (cos v))
157.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.8s

Counts
126 → 126
Iterations
IterNodes
done5002
22887
1573
0221

prune866.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes241.0ms

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
done25
125
017

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.2s1491×body1280valid
819.0ms1336×body640valid
581.0ms4252×body80valid
328.0ms607×body320valid
263.0ms8000×pre80true
109.0ms314×body160valid