Details

Time bar (total: 54.2s)

sample335.0ms

Algorithm
intervals
Results
67.0ms47×body1280valid
47.0ms48×body640valid
31.0ms136×body80valid
14.0ms256×pre80true
11.0ms16×body320valid
4.0ms9×body160valid

simplify61.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
60.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite26.0ms

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
16.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
7.0ms
(/ e (fma (cos v) e 1))

series200.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
131.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
69.0ms
(/ e (fma (cos v) e 1))

simplify3.1s

Counts
55 → 71
Calls
55 calls:
Slowest
271.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
270.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
228.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
223.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
200.0ms
(- (+ e (pow e 3)) (pow e 2))

prune841.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*l*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 184
Calls
3 calls:
Slowest
18.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
6.0ms
(/ 1 (/ (fma (cos v) e 1) e))
4.0ms
(/ (fma (cos v) e 1) e)

series245.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
103.0ms
(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
78.0ms
(/ 1 (/ (fma (cos v) e 1) e))
63.0ms
(/ (fma (cos v) e 1) e)

simplify13.3s

Counts
200 → 193
Calls
200 calls:
Slowest
548.0ms
(* (* (* (/ 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)))
357.0ms
(/ (* (* 1 1) 1) (/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* e e) e)))
343.0ms
(/ (sqrt 1) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
331.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
314.0ms
(/ (* (* 1 1) 1) (* (* (/ (fma (cos v) e 1) e) (/ (fma (cos v) e 1) e)) (/ (fma (cos v) e 1) e)))

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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
19.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
5.0ms
(/ (fma (cos v) e 1) e)

series189.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
119.0ms
(/ (sin v) (/ (fma (cos v) e 1) e))
69.0ms
(/ (fma (cos v) e 1) e)

simplify7.4s

Counts
127 → 109
Calls
127 calls:
Slowest
621.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (/ (fma (cos v) e 1) e) (/ (fma (cos v) e 1) e)) (/ (fma (cos v) e 1) e)))
321.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt e) (cbrt e))))
278.0ms
(/ (* (cbrt (sin v)) (cbrt (sin v))) (/ 1 (* (cbrt e) (cbrt e))))
274.0ms
(/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* e e) e))
257.0ms
(- (* e v) (+ (* 1/6 (* e (pow v 3))) (* (pow e 2) v)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
160×sqrt-prod
148×times-frac
125×add-sqr-sqrt
111×*-un-lft-identity add-cube-cbrt
80×associate-*l*
34×add-cbrt-cube add-exp-log
12×associate-/r* prod-exp cbrt-unprod associate-/l*
11×pow1
8×cbrt-undiv div-exp
5×unswap-sqr
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×sqrt-undiv clear-num frac-2neg *-commutative
1×frac-times associate-*r/
Counts
4 → 262
Calls
4 calls:
Slowest
61.0ms
(* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v)))
30.0ms
(* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))
6.0ms
(/ (sqrt e) (sqrt (fma (cos v) e 1)))
5.0ms
(/ (sqrt e) (sqrt (fma (cos v) e 1)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))
163.0ms
(* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v)))
123.0ms
(/ (sqrt e) (sqrt (fma (cos v) e 1)))
100.0ms
(/ (sqrt e) (sqrt (fma (cos v) e 1)))

simplify15.2s

Counts
300 → 274
Calls
300 calls:
Slowest
817.0ms
(+ (log (/ (sqrt e) (sqrt (fma (cos v) e 1)))) (log (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))))
490.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sqrt (fma (cos v) e 1)) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))) (* (* (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v)) (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))) (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))))
475.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sqrt (fma (cos v) e 1)) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))) (* (* (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (/ (sqrt e) (sqrt (fma (cos v) e 1)))) (/ (sqrt e) (sqrt (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v))))
467.0ms
(+ (- (log (sqrt e)) (log (sqrt (fma (cos v) e 1)))) (log (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (sin v))))
448.0ms
(* (* (* (/ (sqrt e) (sqrt (fma (cos v) e 1))) (/ (sqrt e) (sqrt (fma (cos v) e 1)))) (/ (sqrt e) (sqrt (fma (cos v) e 1)))) (* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sqrt (fma (cos v) e 1)) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v))))

prune3.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.0s1536×body1280valid
1.3s4262×body80valid
1.1s1291×body640valid
463.0ms617×body320valid
329.0ms8000×pre80true
174.0ms294×body160valid