Details

Time bar (total: 1.2m)

sample279.0ms

Algorithm
intervals
Results
78.0ms40×body640valid
60.0ms52×body1280valid
21.0ms135×body80valid
18.0ms256×pre80true
8.0ms18×body320valid
3.0ms11×body160valid

simplify84.0ms

Calls
1 calls:
Slowest
83.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×times-frac
13×associate-*l*
9×add-cbrt-cube associate-*l/ add-exp-log
6×associate-/r* associate-/l*
4×pow1
3×associate-*r*
2×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×pow-prod-down *-commutative
Calls
2 calls:
Slowest
16.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
7.0ms
(/ e (fma (cos v) e 1))

series337.0ms

Calls
2 calls:
Slowest
250.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
86.0ms
(/ e (fma (cos v) e 1))

simplify3.4s

Calls
63 calls:
Slowest
297.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
232.0ms
(* (/ (* (* e e) e) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
212.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
206.0ms
(- (+ e (pow e 3)) (pow e 2))
202.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))

prune929.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
36×times-frac
29×*-un-lft-identity add-cube-cbrt
15×associate-*r* associate-*l*
12×associate-/l*
9×add-cbrt-cube add-exp-log
5×*-commutative unswap-sqr
4×pow1
3×associate-/r*
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 div-inv
Calls
2 calls:
Slowest
43.0ms
(/ (* (sin v) e) (fma (cos v) e 1))
19.0ms
(* (sin v) e)

series153.0ms

Calls
2 calls:
Slowest
109.0ms
(/ (* (sin v) e) (fma (cos v) e 1))
44.0ms
(* (sin v) e)

simplify4.5s

Calls
103 calls:
Slowest
304.0ms
(* (* (* (sin v) (sin v)) (sin v)) (* (* e e) e))
277.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))
216.0ms
(/ (* (* (* (sin v) (sin v)) (sin v)) (* (* e e) e)) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
185.0ms
(/ (* (* (* (sin v) e) (* (sin v) e)) (* (sin v) e)) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
170.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-/r*
9×add-cbrt-cube add-exp-log associate-/r/ associate-/l*
6×div-inv
4×cbrt-undiv div-exp
3×clear-num frac-2neg
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
10.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
5.0ms
(/ (fma (cos v) e 1) e)

series176.0ms

Calls
2 calls:
Slowest
105.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
71.0ms
(/ (fma (cos v) e 1) e)

simplify7.7s

Calls
134 calls:
Slowest
1.0s
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (fma (cos v) e 1) e) (/ (fma (cos v) e 1) e)) (/ (fma (cos v) e 1) e)))
381.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
319.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))
235.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ 1 (* (cbrt e) (cbrt e))))
229.0ms
(/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* e e) e))

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
210×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
26×add-exp-log
22×associate-/r* associate-/l*
17×div-exp
16×add-cbrt-cube
9×cbrt-undiv associate-/r/ associate-/l/
4×clear-num frac-2neg
2×expm1-log1p-u pow1 rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
30.0ms
(/ (/ (sin v) (fma (cos v) e 1)) (/ 1 e))
16.0ms
(/ (sin v) (fma (cos v) e 1))

series154.0ms

Calls
2 calls:
Slowest
83.0ms
(/ (/ (sin v) (fma (cos v) e 1)) (/ 1 e))
71.0ms
(/ (sin v) (fma (cos v) e 1))

simplify41.0s

Calls
420 calls:
Slowest
607.0ms
(/ (/ 1 (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1)))) (/ 1 (* (cbrt e) (cbrt e))))
475.0ms
(/ (/ (sqrt (sin v)) (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt e) (cbrt e))))
438.0ms
(- v (+ (* 1/6 (pow v 3)) (* e v)))
424.0ms
(/ (/ (* (cbrt (sin v)) (cbrt (sin v))) (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt e)))
424.0ms
(/ (/ (sqrt (sin v)) (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1)))) (/ 1 (* (cbrt e) (cbrt e))))

prune2.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.4s1535×body1280valid
1.2s1316×body640valid
866.0ms4222×body80valid
445.0ms612×body320valid
325.0ms8000×pre80true
149.0ms315×body160valid