Details

Time bar (total: 35.2s)

sample336.0ms

Algorithm
intervals
Results
105.0ms53×body640valid
61.0ms53×body1280valid
18.0ms123×body80valid
12.0ms22×body320valid
11.0ms256×pre80true
4.0ms5×body160valid

simplify131.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
130.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

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
71.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
59.0ms
(* e (cos v))
22.0ms
(* e (sin v))

series307.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
147.0ms
(* e (cos v))
99.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
60.0ms
(* e (sin v))

simplify2.7s

Counts
44 → 77
Calls
44 calls:
Slowest
452.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
375.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
329.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
248.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
246.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))

prune792.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (* e (cos v)) (* e (cos v)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-cbrt-cube add-exp-log
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 100
Calls
4 calls:
Slowest
37.0ms
(* (* e (cos v)) (* e (cos v)))
11.0ms
(* e (cos v))
8.0ms
(* e (cos v))
7.0ms
(* e (cos v))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(* (* e (cos v)) (* e (cos v)))
54.0ms
(* e (cos v))
50.0ms
(* e (cos v))
49.0ms
(* e (cos v))

simplify3.4s

Counts
75 → 112
Calls
75 calls:
Slowest
778.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
637.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
311.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
302.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
280.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite53.0ms

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
24.0ms
(/ (+ 1 (* e (cos v))) (sin v))
17.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
9.0ms
(* e (cos v))

series268.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
124.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
89.0ms
(/ (+ 1 (* e (cos v))) (sin v))
56.0ms
(* e (cos v))

simplify8.0s

Counts
144 → 135
Calls
144 calls:
Slowest
690.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
581.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
364.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
281.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
263.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
0.2b
(/ (+ 1 (* e (cos v))) (* e (sin v)))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube
14×div-exp
9×pow1
8×associate-/r*
7×cbrt-undiv
6×associate-*r* associate-*l* prod-exp div-inv associate-/l*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg pow-prod-down *-commutative unswap-sqr associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
4 → 127
Calls
4 calls:
Slowest
47.0ms
(/ (+ 1 (* e (cos v))) (* e (sin v)))
33.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
15.0ms
(* e (cos v))
14.0ms
(* e (sin v))

series345.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(/ (+ 1 (* e (cos v))) (* e (sin v)))
111.0ms
(/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
53.0ms
(* e (sin v))
51.0ms
(* e (cos v))

simplify7.3s

Counts
109 → 139
Calls
109 calls:
Slowest
363.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))))
351.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (* e (sin v)) (* e (sin v))) (* e (sin v)))))
327.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
327.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))))
262.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.4s1530×body1280valid
1.7s1241×body640valid
899.0ms4258×body80valid
348.0ms647×body320valid
298.0ms8000×pre80true
125.0ms324×body160valid