Details

Time bar (total: 43.7s)

sample308.0ms

Algorithm
intervals
Results
60.0ms54×body1280valid
57.0ms31×body320valid
34.0ms42×body640valid
22.0ms115×body80valid
12.0ms256×pre80true
6.0ms14×body160valid

simplify83.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
82.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:
Slowest
18.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms
(* e (cos v))
16.0ms
(* e (sin v))

series195.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
93.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
58.0ms
(* e (cos v))
44.0ms
(* e (sin v))

simplify5.0s

Counts
75 → 71
Calls
75 calls:
Slowest
407.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
388.0ms
(/ (* e (sin v)) (+ (pow 1 3) (pow (* e (cos v)) 3)))
375.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
363.0ms
(/ (* e (sin v)) (- (* 1 1) (* (* e (cos v)) (* e (cos v)))))
345.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune765.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:
Slowest
39.0ms
(/ (+ 1 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series287.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
128.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
87.0ms
(/ (+ 1 (* e (cos v))) (sin v))
72.0ms
(* e (cos v))

simplify10.9s

Counts
179 → 129
Calls
179 calls:
Slowest
794.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
515.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
426.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
423.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
367.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))
0.2b
(* e (cos v))
0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
15×associate-*l*
13×pow1 *-un-lft-identity add-cube-cbrt
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative unswap-sqr
2×associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
Slowest
57.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
29.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
10.0ms
(* (sqrt e) (sin v))
7.0ms
(* e (cos v))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
129.0ms
(* (sqrt e) (sin v))
66.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
51.0ms
(* e (cos v))

simplify8.6s

Counts
106 → 102
Calls
106 calls:
Slowest
702.0ms
(* (* (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))) (/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v)))))
570.0ms
(/ (* (* (* (sqrt e) (* (sqrt e) (sin v))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (sqrt e) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
567.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
533.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
507.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt e)) (sin v))
0.3b
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
0.2b
(* e (cos v))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
27×associate-*l*
24×sqrt-prod
23×add-sqr-sqrt
22×pow1 add-cbrt-cube add-exp-log
15×*-un-lft-identity add-cube-cbrt
11×pow-prod-down prod-exp cbrt-unprod
8×associate-*r*
4×*-commutative insert-posit16 add-log-exp unswap-sqr
Counts
4 → 96
Calls
4 calls:
Slowest
102.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
30.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
23.0ms
(* (sqrt (sqrt e)) (sin v))
15.0ms
(* e (cos v))

series387.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(* (sqrt (sqrt e)) (sin v))
116.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
75.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
63.0ms
(* e (cos v))

simplify6.1s

Counts
108 → 108
Calls
108 calls:
Slowest
667.0ms
(* (* (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))) (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))) (* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))))
481.0ms
(* (* (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
356.0ms
(* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (* (sqrt (sqrt e)) (sin v)) (* (sqrt (sqrt e)) (sin v))) (* (sqrt (sqrt e)) (sin v))))
350.0ms
(* (* (* (sqrt (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e))) (* (* (sin v) (sin v)) (sin v)))
326.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes198.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.5s1498×body1280valid
1.5s1202×body640valid
903.0ms4377×body80valid
421.0ms585×body320valid
373.0ms8000×pre80true
178.0ms338×body160valid