Details

Time bar (total: 34.0s)

sample301.0ms

Algorithm
intervals
Results
52.0ms53×body1280valid
52.0ms256×pre80true
43.0ms53×body640valid
20.0ms123×body80valid
12.0ms22×body320valid
1.0ms5×body160valid

simplify66.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
66.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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
13.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms
(* e (cos v))
8.0ms
(* e (sin v))

series269.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
148.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
65.0ms
(* e (cos v))
56.0ms
(* e (sin v))

simplify2.7s

Counts
44 → 71
Calls
44 calls:
Slowest
341.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
316.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
299.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
285.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
278.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune678.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (* e (cos v)) (* e (cos v)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-cbrt-cube add-exp-log
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 92
Calls
4 calls:
Slowest
50.0ms
(* (* e (cos v)) (* e (cos v)))
14.0ms
(* e (cos v))
12.0ms
(* e (cos v))
7.0ms
(* e (cos v))

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(* (* e (cos v)) (* e (cos v)))
58.0ms
(* e (cos v))
45.0ms
(* e (cos v))
45.0ms
(* e (cos v))

simplify3.5s

Counts
75 → 104
Calls
75 calls:
Slowest
742.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
649.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
353.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
340.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
280.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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
40.0ms
(/ (+ 1 (* e (cos v))) (sin v))
18.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series243.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
102.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
101.0ms
(/ (+ 1 (* e (cos v))) (sin v))
40.0ms
(* e (cos v))

simplify7.9s

Counts
144 → 129
Calls
144 calls:
Slowest
672.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
498.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
340.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
324.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
266.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
0.2b
(/ (+ 1 (* e (cos v))) (* e (sin v)))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube
14×div-exp
9×pow1
8×associate-/r*
7×cbrt-undiv
6×associate-*r* associate-*l* prod-exp div-inv associate-/l*
4×cbrt-unprod insert-posit16 add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg pow-prod-down *-commutative unswap-sqr associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
4 → 119
Calls
4 calls:
Slowest
26.0ms
(/ (+ 1 (* e (cos v))) (* e (sin v)))
16.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
7.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series377.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(/ (+ 1 (* e (cos v))) (* e (sin v)))
121.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
75.0ms
(* e (sin v))
45.0ms
(* e (cos v))

simplify7.4s

Counts
109 → 131
Calls
109 calls:
Slowest
424.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
418.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (* e (sin v)) (* e (sin v))) (* e (sin v)))))
371.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))))
315.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
304.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.9s1530×body1280valid
1.3s1241×body640valid
888.0ms4258×body80valid
814.0ms8000×pre80true
368.0ms647×body320valid
155.0ms324×body160valid