Details

Time bar (total: 2.7m)

sample386.0ms

Algorithm
intervals
Results
75.0ms47×body640valid
55.0ms43×body1280valid
30.0ms137×body80valid
15.0ms20×body320valid
14.0ms256×pre80true
4.0ms9×body160valid

simplify790.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
789.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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))))

rewrite77.0ms

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×associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 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 → 62
Calls
3 calls:
Slowest
31.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
22.0ms
(* e (cos v))
20.0ms
(* e (sin v))

series255.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
92.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
84.0ms
(* e (cos v))
78.0ms
(* e (sin v))

simplify2.6s

Counts
44 → 71
Calls
44 calls:
Slowest
367.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
314.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
311.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
266.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
260.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))

prune712.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* e (cos v)) (* e (cos v)))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))

rewrite61.0ms

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×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 92
Calls
4 calls:
Slowest
32.0ms
(* (* e (cos v)) (* e (cos v)))
11.0ms
(* e (cos v))
8.0ms
(* e (cos v))
7.0ms
(* e (cos v))

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(* (* e (cos v)) (* e (cos v)))
63.0ms
(* e (cos v))
59.0ms
(* e (cos v))
48.0ms
(* e (cos v))

simplify3.3s

Counts
75 → 104
Calls
75 calls:
Slowest
769.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
564.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
300.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
296.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
256.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite52.0ms

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×associate-*r* associate-*l* insert-posit16 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 → 120
Calls
3 calls:
Slowest
23.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
20.0ms
(/ (+ 1 (* e (cos v))) (sin v))
8.0ms
(* e (cos v))

series240.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
98.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
95.0ms
(/ (+ 1 (* e (cos v))) (sin v))
47.0ms
(* e (cos v))

simplify8.0s

Counts
144 → 129
Calls
144 calls:
Slowest
614.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
440.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
405.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
301.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
276.0ms
(/ (* (* e e) e) (/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
0.2b
(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))
0.1b
(/ (+ 1 (* e (cos v))) (sin v))
0.1b
(* e (cos v))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
1566×times-frac
742×add-sqr-sqrt
740×*-un-lft-identity add-cube-cbrt
564×sqrt-prod
91×associate-/r*
59×div-inv
22×add-cbrt-cube add-exp-log associate-/l*
10×cbrt-undiv div-exp
6×pow1
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*r* associate-*l* associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 760
Calls
4 calls:
Slowest
58.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))
40.0ms
(/ (+ 1 (* e (cos v))) (sin v))
28.0ms
(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
14.0ms
(* e (cos v))

series449.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))
134.0ms
(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
109.0ms
(/ (+ 1 (* e (cos v))) (sin v))
52.0ms
(* e (cos v))

simplify2.1m

Counts
1306 → 772
Calls
1306 calls:
Slowest
744.0ms
(/ (* (cbrt (sqrt e)) (cbrt (sqrt e))) (/ (/ 1 (sqrt (sin v))) (sqrt (* (cbrt e) (cbrt e)))))
714.0ms
(/ (sqrt (sqrt e)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
669.0ms
(/ (sqrt (sqrt e)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
611.0ms
(/ (sqrt (* (cbrt e) (cbrt e))) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt (sqrt e)) (cbrt (sqrt e)))))
604.0ms
(/ (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))) (* (* (sqrt e) (sqrt e)) (sqrt e)))

prune10.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.8s1452×body1280valid
1.6s1242×body640valid
730.0ms4386×body80valid
353.0ms603×body320valid
347.0ms8000×pre80true
143.0ms317×body160valid