Details

Time bar (total: 27.0s)

sample285.0ms

Algorithm
intervals
Results
109.0ms46×body1280valid
40.0ms39×body640valid
28.0ms145×body80valid
16.0ms256×pre80true
13.0ms21×body320valid
2.0ms5×body160valid

simplify66.0ms

Calls
1 calls:
Slowest
65.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune340.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite12.0ms

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
7.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
1.0ms
(/ e (fma (cos v) e 1))

series259.0ms

Calls
2 calls:
Slowest
179.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
79.0ms
(/ e (fma (cos v) e 1))

simplify1.6s

Calls
18 calls:
Slowest
294.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
286.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
198.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
193.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
179.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune479.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1
5×add-cbrt-cube associate-*l*
4×associate-/r* div-inv
3×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×rec-exp clear-num frac-2neg prod-exp associate-/r/
1×pow-prod-down associate-*l/ *-commutative cbrt-unprod pow-flip inv-pow
Calls
3 calls:
Slowest
12.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
7.0ms
(/ (fma (cos v) e 1) e)
3.0ms
(/ 1 (/ (fma (cos v) e 1) e))

series230.0ms

Calls
3 calls:
Slowest
88.0ms
(/ 1 (/ (fma (cos v) e 1) e))
80.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
62.0ms
(/ (fma (cos v) e 1) e)

simplify2.3s

Calls
27 calls:
Slowest
462.0ms
(* (* (* (/ 1 (/ (fma (cos v) e 1) e)) (/ 1 (/ (fma (cos v) e 1) e))) (/ 1 (/ (fma (cos v) e 1) e))) (* (* (sin v) (sin v)) (sin v)))
223.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
218.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
216.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
185.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))

prune671.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
6×div-inv associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv div-exp associate-/r/
Calls
2 calls:
Slowest
5.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
4.0ms
(/ (fma (cos v) e 1) e)

series195.0ms

Calls
2 calls:
Slowest
101.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
94.0ms
(/ (fma (cos v) e 1) e)

simplify2.3s

Calls
40 calls:
Slowest
598.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (fma (cos v) e 1) e) (/ (fma (cos v) e 1) e)) (/ (fma (cos v) e 1) e)))
235.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
181.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
177.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))
130.0ms
(- (+ (/ 1 e) 1) (* 1/2 (pow v 2)))

prune628.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
59×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×div-inv
16×associate-/l*
9×add-cbrt-cube add-exp-log
7×associate-/r*
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/ associate-/l/
Calls
2 calls:
Slowest
17.0ms
(/ (/ (sin v) (fma (cos v) e 1)) (/ 1 e))
8.0ms
(/ (sin v) (fma (cos v) e 1))

series190.0ms

Calls
2 calls:
Slowest
109.0ms
(/ (/ (sin v) (fma (cos v) e 1)) (/ 1 e))
81.0ms
(/ (sin v) (fma (cos v) e 1))

simplify10.1s

Calls
156 calls:
Slowest
365.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))
348.0ms
(/ (/ (* (cbrt (sin v)) (cbrt (sin v))) (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1)))) (* (cbrt (/ 1 e)) (cbrt (/ 1 e))))
328.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
282.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
226.0ms
(/ (/ (* (* (sin v) (sin v)) (sin v)) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1))) (* (* (/ 1 e) (/ 1 e)) (/ 1 e)))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.5s1548×body1280valid
1.3s4310×body80valid
994.0ms1211×body640valid
421.0ms622×body320valid
358.0ms8000×pre80true
136.0ms309×body160valid