Details

Time bar (total: 28.1s)

sample319.0ms

Algorithm
intervals
Results
64.0ms51×body640valid
57.0ms145×body80valid
43.0ms42×body1280valid
18.0ms256×pre80true
6.0ms12×body320valid
2.0ms6×body160valid

simplify134.0ms

Calls
1 calls:
Slowest
133.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite34.0ms

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
Calls
2 calls:
Slowest
18.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
5.0ms
(/ e (fma (cos v) e 1))

series205.0ms

Calls
2 calls:
Slowest
112.0ms
(* (/ e (fma (cos v) e 1)) (sin v))
92.0ms
(/ e (fma (cos v) e 1))

simplify3.3s

Calls
55 calls:
Slowest
321.0ms
(* (* (* (/ e (fma (cos v) e 1)) (/ e (fma (cos v) e 1))) (/ e (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
236.0ms
(/ (* (* e e) e) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
224.0ms
(* (/ (* (* e e) e) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1))) (* (* (sin v) (sin v)) (sin v)))
214.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
205.0ms
(- (+ e (pow e 3)) (pow e 2))

prune622.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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
Calls
2 calls:
Slowest
22.0ms
(/ (* e (sin v)) (fma (cos v) e 1))
15.0ms
(* e (sin v))

series195.0ms

Calls
2 calls:
Slowest
122.0ms
(/ (* e (sin v)) (fma (cos v) e 1))
73.0ms
(* e (sin v))

simplify1.7s

Calls
29 calls:
Slowest
287.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
214.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
211.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
205.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
177.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))

prune635.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube
18×times-frac
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
2×*-commutative div-inv
1×clear-num frac-2neg associate-*r/ un-div-inv pow-flip inv-pow unswap-sqr
Calls
3 calls:
Slowest
44.0ms
(* (* e (sin v)) (/ 1 (fma (cos v) e 1)))
22.0ms
(* e (sin v))
8.0ms
(/ 1 (fma (cos v) e 1))

series234.0ms

Calls
3 calls:
Slowest
132.0ms
(* (* e (sin v)) (/ 1 (fma (cos v) e 1)))
58.0ms
(* e (sin v))
43.0ms
(/ 1 (fma (cos v) e 1))

simplify5.5s

Calls
75 calls:
Slowest
536.0ms
(+ (log (* e (sin v))) (- 0 (log (fma (cos v) e 1))))
489.0ms
(/ (* (* 1 1) 1) (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)))
328.0ms
(- (+ (/ 1 (* e (cos v))) (/ 1 (* (pow e 3) (pow (cos v) 3)))) (/ 1 (* (pow e 2) (pow (cos v) 2))))
315.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
289.0ms
(- (+ (/ 1 (* e (cos v))) (/ 1 (* (pow e 3) (pow (cos v) 3)))) (/ 1 (* (pow e 2) (pow (cos v) 2))))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ e (/ (fma (cos v) e 1) (sin v)))
0.2b
(/ (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/
Calls
2 calls:
Slowest
11.0ms
(/ e (/ (fma (cos v) e 1) (sin v)))
5.0ms
(/ (fma (cos v) e 1) (sin v))

series262.0ms

Calls
2 calls:
Slowest
149.0ms
(/ e (/ (fma (cos v) e 1) (sin v)))
113.0ms
(/ (fma (cos v) e 1) (sin v))

simplify7.0s

Calls
129 calls:
Slowest
641.0ms
(/ (* (* e e) e) (* (* (/ (fma (cos v) e 1) (sin v)) (/ (fma (cos v) e 1) (sin v))) (/ (fma (cos v) e 1) (sin v))))
324.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (fma (cos v) e 1)) (cbrt (fma (cos v) e 1))) (* (cbrt (sin v)) (cbrt (sin v)))))
231.0ms
(/ (* (* (fma (cos v) e 1) (fma (cos v) e 1)) (fma (cos v) e 1)) (* (* (sin v) (sin v)) (sin v)))
227.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))))
205.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s1525×body1280valid
1.1s1218×body640valid
992.0ms4336×body80valid
398.0ms595×body320valid
332.0ms8000×pre80true
119.0ms326×body160valid