Details

Time bar (total: 38.1s)

sample337.0ms

Algorithm
intervals
Results
74.0ms52×body1280valid
42.0ms41×body640valid
32.0ms143×body80valid
14.0ms256×pre80true
7.0ms10×body320valid
5.0ms10×body160valid

simplify64.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
64.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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×expm1-log1p-u associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 68
Calls
3 calls:
Slowest
27.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
19.0ms
(* e (sin v))
16.0ms
(* e (cos v))

series290.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
135.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
92.0ms
(* e (sin v))
63.0ms
(* e (cos v))

simplify5.2s

Counts
81 → 77
Calls
81 calls:
Slowest
773.0ms
(* (* (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v))))) (/ (* e (sin v)) (+ 1 (* e (cos v)))))
419.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
390.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
353.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
307.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune720.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (fma e (cos v) 1) (sin v))
0.2b
(/ e (/ (fma e (cos v) 1) (sin v)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 103
Calls
2 calls:
Slowest
7.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))
5.0ms
(/ (fma e (cos v) 1) (sin v))

series244.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
146.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))
98.0ms
(/ (fma e (cos v) 1) (sin v))

simplify9.1s

Counts
159 → 109
Calls
159 calls:
Slowest
618.0ms
(/ (* (* e e) e) (* (* (/ (fma e (cos v) 1) (sin v)) (/ (fma e (cos v) 1) (sin v))) (/ (fma e (cos v) 1) (sin v))))
341.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma e (cos v) 1)) (cbrt (fma e (cos v) 1))) (* (cbrt (sin v)) (cbrt (sin v)))))
280.0ms
(* (* (/ e (/ (fma e (cos v) 1) (sin v))) (/ e (/ (fma e (cos v) 1) (sin v)))) (/ e (/ (fma e (cos v) 1) (sin v))))
271.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))))
228.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (sin v))
0.2b
(* (sqrt e) (* (sqrt e) (sin v)))
0.1b
(* e (cos v))
0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite120.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 98
Calls
4 calls:
Slowest
55.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
31.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
21.0ms
(* (sqrt e) (sin v))
10.0ms
(* e (cos v))

series321.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
106.0ms
(* (sqrt e) (sin v))
52.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
40.0ms
(* e (cos v))

simplify9.0s

Counts
114 → 110
Calls
114 calls:
Slowest
786.0ms
(* (* (/ (* (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)))))
576.0ms
(/ (* (* (* (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)))))
574.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
526.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
483.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt e)
0.6b
(cbrt e)
0.6b
(cbrt e)
0.6b
(* (cbrt e) (cbrt e))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
7.0ms
(* (cbrt e) (cbrt e))
1.0ms
(cbrt e)
1.0ms
(cbrt e)
1.0ms
(cbrt e)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
337.0ms
(* (cbrt e) (cbrt e))
325.0ms
(cbrt e)
303.0ms
(cbrt e)
274.0ms
(cbrt e)

simplify1.5s

Counts
111 → 97
Calls
111 calls:
Slowest
174.0ms
(* (pow (* e -1) 1/3) (cbrt -1))
160.0ms
(* (pow (* e -1) 1/3) (cbrt -1))
153.0ms
(* (pow (* e -1) 1/3) (cbrt -1))
145.0ms
(* (pow (pow e 2) 1/3) (pow (cbrt -1) 2))
106.0ms
(* (* (* (cbrt e) (cbrt e)) (* (cbrt e) (cbrt e))) (* (cbrt e) (cbrt e)))

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.0s1514×body1280valid
1.3s4291×body80valid
1.2s1247×body640valid
751.0ms8000×pre80true
339.0ms622×body320valid
151.0ms326×body160valid