Details

Time bar (total: 1.1m)

sample252.0ms

Algorithm
intervals
Results
50.0ms34×body640valid
43.0ms57×body1280valid
15.0ms132×body80valid
12.0ms24×body320valid
9.0ms256×pre80true
2.0ms9×body160valid

simplify65.0ms

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

prune24.0ms

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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-/l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 65
Calls
2 calls:
Slowest
25.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
4.0ms
(/ e (fma (cos v) e 1))

series253.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
154.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
98.0ms
(/ e (fma (cos v) e 1))

simplify2.9s

Counts
55 → 71
Calls
55 calls:
Slowest
287.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
223.0ms
(- (+ e (pow e 3)) (pow e 2))
207.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
202.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
201.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))

prune644.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt
4×pow1
3×associate-/r* times-frac associate-*r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
Slowest
11.0ms
(/ (* e (sin v)) (fma (cos v) e 1))
8.0ms
(* e (sin v))

series135.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
92.0ms
(/ (* e (sin v)) (fma (cos v) e 1))
43.0ms
(* e (sin v))

simplify1.8s

Counts
29 → 51
Calls
29 calls:
Slowest
306.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
234.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
227.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
222.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
217.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))

prune644.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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
12.0ms
(/ e (/ (fma (cos v) e 1) (sin v)))
5.0ms
(/ (fma (cos v) e 1) (sin v))

series243.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
124.0ms
(/ e (/ (fma (cos v) e 1) (sin v)))
119.0ms
(/ (fma (cos v) e 1) (sin v))

simplify7.5s

Counts
129 → 109
Calls
129 calls:
Slowest
664.0ms
(/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* (sin v) (sin v)) (sin v)))
585.0ms
(/ (* (* e e) e) (* (* (/ (fma (cos v) e 1) (sin v)) (/ (fma (cos v) e 1) (sin v))) (/ (fma (cos v) e 1) (sin v))))
354.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt (sin v)) (cbrt (sin v)))))
256.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (sqrt (sin v))))
232.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (/ (/ (fma (cos v) e 1) (sin v)) e))
0.2b
(/ (/ (fma (cos v) e 1) (sin v)) e)
0.1b
(/ (fma (cos v) e 1) (sin v))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
237×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
49×associate-/r*
31×add-exp-log
23×div-inv
19×add-cbrt-cube div-exp associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 306
Calls
3 calls:
Slowest
16.0ms
(/ 1 (/ (/ (fma (cos v) e 1) (sin v)) e))
9.0ms
(/ (/ (fma (cos v) e 1) (sin v)) e)
5.0ms
(/ (fma (cos v) e 1) (sin v))

series329.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
117.0ms
(/ 1 (/ (/ (fma (cos v) e 1) (sin v)) e))
109.0ms
(/ (/ (fma (cos v) e 1) (sin v)) e)
103.0ms
(/ (fma (cos v) e 1) (sin v))

simplify40.2s

Counts
444 → 315
Calls
444 calls:
Slowest
740.0ms
(/ (* (* 1 1) 1) (* (* (/ (/ (fma (cos v) e 1) (sin v)) e) (/ (/ (fma (cos v) e 1) (sin v)) e)) (/ (/ (fma (cos v) e 1) (sin v)) e)))
641.0ms
(/ (* (* (/ (fma (cos v) e 1) (sin v)) (/ (fma (cos v) e 1) (sin v))) (/ (fma (cos v) e 1) (sin v))) (* (* e e) e))
518.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt e) (cbrt e))))
471.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (sqrt (sin v))) (* (cbrt e) (cbrt e))))
455.0ms
(/ (sqrt 1) (/ (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (sqrt (sin v))) (* (cbrt e) (cbrt e))))

prune3.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s1516×body1280valid
1.1s1293×body640valid
782.0ms4263×body80valid
534.0ms643×body320valid
371.0ms8000×pre80true
145.0ms285×body160valid