Details

Time bar (total: 31.0s)

sample660.0ms

Algorithm
intervals
Results
69.0ms40×body640valid
57.0ms41×body1280valid
25.0ms138×body80valid
13.0ms23×body320valid
13.0ms256×pre80true
6.0ms14×body160valid

simplify71.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
70.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow1
6×associate-*r* associate-*l*
3×expm1-log1p-u associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
3 → 68
Calls
3 calls:
Slowest
26.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
15.0ms
(* e (cos v))
12.0ms
(* e (sin v))

series255.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
115.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
74.0ms
(* e (sin v))
66.0ms
(* e (cos v))

simplify2.7s

Counts
44 → 77
Calls
44 calls:
Slowest
463.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
349.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
294.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
284.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
282.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune750.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* e (cos v)) 3)
0.1b
(* e (sin v))
0.1b
(* (cos v) e)
0.1b
(* (cos v) e)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
11×*-un-lft-identity add-cube-cbrt
9×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow *-commutative unswap-sqr
2×pow-pow pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 88
Calls
4 calls:
Slowest
13.0ms
(* (cos v) e)
13.0ms
(pow (* e (cos v)) 3)
10.0ms
(* e (sin v))
7.0ms
(* (cos v) e)

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(pow (* e (cos v)) 3)
70.0ms
(* (cos v) e)
55.0ms
(* e (sin v))
49.0ms
(* (cos v) e)

simplify2.4s

Counts
50 → 100
Calls
50 calls:
Slowest
351.0ms
(- (pow e 3) (* 3/2 (* (pow e 3) (pow v 2))))
314.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
310.0ms
(* (* (* (cos v) (cos v)) (cos v)) (* (* e e) e))
309.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
251.0ms
(* (pow e 3) (pow (cos v) 3))

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
0.1b
(/ (+ 1 (* e (cos v))) (sin v))
0.1b
(* e (cos v))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
16×associate-/r*
12×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 126
Calls
3 calls:
Slowest
20.0ms
(/ (+ 1 (* e (cos v))) (sin v))
9.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
7.0ms
(* e (cos v))

series331.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
144.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
122.0ms
(/ (+ 1 (* e (cos v))) (sin v))
64.0ms
(* e (cos v))

simplify8.2s

Counts
144 → 135
Calls
144 calls:
Slowest
658.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
548.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
357.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
355.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
259.0ms
(/ (* (cbrt e) (cbrt e)) (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize43.0ms

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))

rewrite92.0ms

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
64.0ms
(* (/ (sqrt e) (fma e (cos v) 1)) (* (sqrt e) (sin v)))
20.0ms
(* (sqrt e) (sin v))
6.0ms
(/ (sqrt e) (fma e (cos v) 1))

series410.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
175.0ms
(* (/ (sqrt e) (fma e (cos v) 1)) (* (sqrt e) (sin v)))
135.0ms
(/ (sqrt e) (fma e (cos v) 1))
100.0ms
(* (sqrt e) (sin v))

simplify4.1s

Counts
103 → 121
Calls
103 calls:
Slowest
285.0ms
(* (/ (* (* (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))))
248.0ms
(* (/ (* (* (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))))
243.0ms
(* (* (* (/ (sqrt e) (fma e (cos v) 1)) (/ (sqrt e) (fma e (cos v) 1))) (/ (sqrt e) (fma e (cos v) 1))) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
223.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
209.0ms
(* (* (* (/ (sqrt e) (fma e (cos v) 1)) (/ (sqrt e) (fma e (cos v) 1))) (/ (sqrt e) (fma e (cos v) 1))) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.8s1535×body1280valid
1.1s1230×body640valid
813.0ms4327×body80valid
439.0ms598×body320valid
410.0ms8000×pre80true
148.0ms310×body160valid