Details

Time bar (total: 3.3m)

sample470.0ms

Algorithm
intervals
Results
84.0ms38×body640valid
67.0ms44×body1280valid
36.0ms145×body80valid
17.0ms23×body320valid
14.0ms256×pre80true
3.0ms6×body160valid

simplify133.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
132.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))

rewrite43.0ms

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
22.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
11.0ms
(* e (sin v))
8.0ms
(* e (cos v))

series202.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
110.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
49.0ms
(* e (sin v))
43.0ms
(* e (cos v))

simplify2.5s

Counts
44 → 77
Calls
44 calls:
Slowest
412.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
293.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
274.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
266.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
264.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune739.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* e (cos v)) (* e (cos v)))
0.1b
(* e (sin v))
0.1b
(* e (cos v))
0.1b
(* 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×expm1-log1p-u pow-sqr *-commutative pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 100
Calls
4 calls:
Slowest
47.0ms
(* (* e (cos v)) (* e (cos v)))
15.0ms
(* e (cos v))
12.0ms
(* e (cos v))
8.0ms
(* e (sin v))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(* (* e (cos v)) (* e (cos v)))
63.0ms
(* e (cos v))
59.0ms
(* e (sin v))
51.0ms
(* e (cos v))

simplify3.5s

Counts
75 → 112
Calls
75 calls:
Slowest
702.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
633.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
358.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
351.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
346.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite49.0ms

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×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 126
Calls
3 calls:
Slowest
21.0ms
(/ (+ 1 (* e (cos v))) (sin v))
18.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
7.0ms
(* e (cos v))

series220.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
69.0ms
(/ (+ 1 (* e (cos v))) (sin v))
37.0ms
(* e (cos v))

simplify7.8s

Counts
144 → 135
Calls
144 calls:
Slowest
720.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
583.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
342.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
294.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
259.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
1725×times-frac
811×add-sqr-sqrt
807×*-un-lft-identity add-cube-cbrt
642×sqrt-prod
173×associate-/r*
68×associate-/r/
64×sqrt-div
37×div-inv
32×flip3-+ flip-+
22×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/l*
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 855
Calls
4 calls:
Slowest
36.0ms
(/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
32.0ms
(/ e (/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v)))))))
15.0ms
(* e (cos v))
15.0ms
(* e (cos v))

series343.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ e (/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v)))))))
106.0ms
(/ (sqrt (+ 1 (* e (cos v)))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
57.0ms
(* e (cos v))
46.0ms
(* e (cos v))

simplify2.7m

Counts
1408 → 867
Calls
1408 calls:
Slowest
793.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))) (/ 1 (sqrt (sqrt (+ 1 (* e (cos v))))))))
640.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (/ (* (cbrt (sin v)) (cbrt (sin v))) 1)))
629.0ms
(/ (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))) (/ (* (cbrt (sin v)) (cbrt (sin v))) (sqrt (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))))))
618.0ms
(/ (sqrt (+ 1 (* e (cos v)))) (sqrt (+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))))
600.0ms
(/ (* (cbrt e) (cbrt e)) (/ (sqrt (sqrt (+ 1 (* e (cos v))))) (/ 1 (* (cbrt (sqrt (+ 1 (* e (cos v))))) (cbrt (sqrt (+ 1 (* e (cos v)))))))))

prune11.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.0s1479×body1280valid
1.6s1246×body640valid
1.2s4274×body80valid
476.0ms687×body320valid
335.0ms8000×pre80true
160.0ms314×body160valid