Details

Time bar (total: 28.0s)

sample269.0ms

Algorithm
intervals
Results
107.0ms50×body1280valid
27.0ms36×body640valid
18.0ms128×body80valid
16.0ms256×pre80true
16.0ms31×body320valid
5.0ms11×body160valid

simplify123.0ms

Calls
1 calls:
Slowest
122.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube associate-*l* add-exp-log
3×associate-/r* associate-*r*
2×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod
Calls
2 calls:
Slowest
6.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
1.0ms
(/ e (fma (cos v) e 1))

series184.0ms

Calls
2 calls:
Slowest
119.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
65.0ms
(/ e (fma (cos v) e 1))

simplify1.8s

Calls
18 calls:
Slowest
370.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
301.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
231.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
230.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
191.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))

prune425.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
14×associate-*l*
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
7×sqrt-div
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square pow1/2 *-commutative
1×frac-times associate-*r/
Calls
4 calls:
Slowest
21.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v)))
12.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (sin v))
2.0ms
(sqrt (/ e (fma (cos v) e 1)))
2.0ms
(sqrt (/ e (fma (cos v) e 1)))

series401.0ms

Calls
4 calls:
Slowest
151.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (sin v))
95.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v)))
80.0ms
(sqrt (/ e (fma (cos v) e 1)))
75.0ms
(sqrt (/ e (fma (cos v) e 1)))

simplify4.2s

Calls
54 calls:
Slowest
480.0ms
(* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (* (sqrt (/ e (fma (cos v) e 1))) (sin v)) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))))
401.0ms
(* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v))))
363.0ms
(* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v)))
315.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
303.0ms
(- (+ (* 3/8 (* (/ 1 (pow e 2)) (sqrt (/ 1 (pow (cos v) 5))))) (sqrt (/ 1 (cos v)))) (* 1/2 (* (/ 1 e) (sqrt (/ 1 (pow (cos v) 3))))))

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-*l*
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp associate-*l/ *-commutative
Calls
2 calls:
Slowest
12.0ms
(* (/ (sin v) (fma (cos v) e 1)) e)
8.0ms
(/ (sin v) (fma (cos v) e 1))

series169.0ms

Calls
2 calls:
Slowest
102.0ms
(* (/ (sin v) (fma (cos v) e 1)) e)
66.0ms
(/ (sin v) (fma (cos v) e 1))

simplify2.5s

Calls
44 calls:
Slowest
340.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))
272.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
241.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
194.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
192.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))

prune719.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-prod
29×sqrt-div
27×associate-*l*
20×pow1 add-cbrt-cube add-exp-log
17×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
6×frac-times associate-*r/
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×*-commutative
2×rem-sqrt-square
1×pow1/2
Calls
4 calls:
Slowest
39.0ms
(* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))))
24.0ms
(* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v)))
5.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (sin v))
2.0ms
(sqrt (sqrt (/ e (fma (cos v) e 1))))

series506.0ms

Calls
4 calls:
Slowest
159.0ms
(* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v)))
148.0ms
(* (sqrt (/ e (fma (cos v) e 1))) (sin v))
118.0ms
(* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))))
81.0ms
(sqrt (sqrt (/ e (fma (cos v) e 1))))

simplify7.2s

Calls
84 calls:
Slowest
624.0ms
(* (* (* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (sqrt (sqrt (/ e (fma (cos v) e 1))))) (sqrt (sqrt (/ e (fma (cos v) e 1))))) (* (* (* (sqrt (/ e (fma (cos v) e 1))) (sin v)) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))) (* (sqrt (/ e (fma (cos v) e 1))) (sin v))))
602.0ms
(* (* (* (sqrt (sqrt (/ e (fma (cos v) e 1)))) (sqrt (sqrt (/ e (fma (cos v) e 1))))) (sqrt (sqrt (/ e (fma (cos v) e 1))))) (* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v))))
389.0ms
(* (* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sqrt (/ e (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v)))
369.0ms
(- (+ (* 21/32 (* (pow (pow e 11) 1/4) v)) (* (pow (pow e 3) 1/4) v)) (* 3/4 (* (pow (pow e 7) 1/4) v)))
310.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.2s1512×body1280valid
1.8s4323×body80valid
1.2s1239×body640valid
401.0ms621×body320valid
352.0ms8000×pre80true
169.0ms305×body160valid