Details

Time bar (total: 34.8s)

sample303.0ms

Algorithm
intervals
Results
90.0ms47×body1280valid
33.0ms43×body640valid
25.0ms136×body80valid
13.0ms27×body320valid
11.0ms256×pre80true
1.0ms3×body160valid

simplify200.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
199.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune100.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

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))

rewrite41.0ms

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
31.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
6.0ms
(/ e (fma (cos v) e 1))

series509.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
399.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
110.0ms
(/ e (fma (cos v) e 1))

simplify3.1s

Counts
55 → 71
Calls
55 calls:
Slowest
337.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
227.0ms
(/ (* (* e e) e) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
222.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
211.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))
205.0ms
(- (+ (/ 1 (* (pow e 2) (pow (cos v) 3))) (/ 1 (cos v))) (/ 1 (* e (pow (cos v) 2))))

prune699.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
19×add-cbrt-cube
16×associate-*r*
13×prod-exp
11×pow1
7×cbrt-unprod
6×div-exp
4×associate-*l* pow-prod-down
3×expm1-log1p-u cbrt-undiv rec-exp associate-/r* 1-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*l/ associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 100
Calls
3 calls:
Slowest
44.0ms
(* (* e (/ 1 (fma (cos v) e 1))) (sin v))
18.0ms
(* e (/ 1 (fma (cos v) e 1)))
8.0ms
(/ 1 (fma (cos v) e 1))

series238.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
124.0ms
(* (* e (/ 1 (fma (cos v) e 1))) (sin v))
68.0ms
(* e (/ 1 (fma (cos v) e 1)))
46.0ms
(/ 1 (fma (cos v) e 1))

simplify7.4s

Counts
81 → 109
Calls
81 calls:
Slowest
702.0ms
(* (* (* (* e e) e) (* (* (/ 1 (fma (cos v) e 1)) (/ 1 (fma (cos v) e 1))) (/ 1 (fma (cos v) e 1)))) (* (* (sin v) (sin v)) (sin v)))
697.0ms
(- (+ (/ 1 (* e (cos v))) (/ 1 (* (pow e 3) (pow (cos v) 3)))) (/ 1 (* (pow e 2) (pow (cos v) 2))))
499.0ms
(* (* (* e e) e) (* (* (/ 1 (fma (cos v) e 1)) (/ 1 (fma (cos v) e 1))) (/ 1 (fma (cos v) e 1))))
472.0ms
(* (* (* e e) e) (/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1))))
469.0ms
(/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ e (/ (fma e (cos v) 1) (sin v)))
0.1b
(/ (fma e (cos v) 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
11.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))
5.0ms
(/ (fma e (cos v) 1) (sin v))

series242.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
144.0ms
(/ e (/ (fma e (cos v) 1) (sin v)))
98.0ms
(/ (fma e (cos v) 1) (sin v))

simplify7.0s

Counts
129 → 109
Calls
129 calls:
Slowest
638.0ms
(/ (* (* e e) e) (* (* (/ (fma e (cos v) 1) (sin v)) (/ (fma e (cos v) 1) (sin v))) (/ (fma e (cos v) 1) (sin v))))
331.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma e (cos v) 1)) (cbrt (fma e (cos v) 1))) (* (cbrt (sin v)) (cbrt (sin v)))))
238.0ms
(/ (* (* (fma e (cos v) 1) (fma e (cos v) 1)) (fma e (cos v) 1)) (* (* (sin v) (sin v)) (sin v)))
227.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma e (cos v) 1)) (cbrt (fma e (cos v) 1))) (sqrt (sin v))))
224.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×times-frac
34×*-un-lft-identity add-cube-cbrt
28×associate-*l*
25×sqrt-prod
19×add-cbrt-cube add-exp-log
10×pow1
7×prod-exp cbrt-unprod
6×associate-/l*
4×associate-*r* pow-prod-down
3×expm1-log1p-u cbrt-undiv associate-/r* div-exp insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×clear-num frac-2neg associate-*l/
Counts
3 → 112
Calls
3 calls:
Slowest
39.0ms
(* (/ (sqrt e) (fma e (cos v) 1)) (* (sqrt e) (sin v)))
10.0ms
(* (sqrt e) (sin v))
5.0ms
(/ (sqrt e) (fma e (cos v) 1))

series355.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
138.0ms
(* (/ (sqrt e) (fma e (cos v) 1)) (* (sqrt e) (sin v)))
117.0ms
(/ (sqrt e) (fma e (cos v) 1))
101.0ms
(* (sqrt e) (sin v))

simplify4.3s

Counts
103 → 121
Calls
103 calls:
Slowest
319.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (fma e (cos v) 1) (fma e (cos v) 1)) (fma e (cos v) 1))) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
282.0ms
(* (/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (fma e (cos v) 1) (fma e (cos v) 1)) (fma e (cos v) 1))) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
223.0ms
(/ (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (fma e (cos v) 1) (fma e (cos v) 1)) (fma e (cos v) 1)))
220.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
203.0ms
(+ (- (log (sqrt e)) (log (fma e (cos v) 1))) (+ (log (sqrt e)) (log (sin v))))

prune1.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes191.0ms

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
2.3s1482×body1280valid
1.3s1290×body640valid
874.0ms4339×body80valid
411.0ms614×body320valid
331.0ms8000×pre80true
222.0ms275×body160valid