Details

Time bar (total: 31.6s)

sample272.0ms

Algorithm
intervals
Results
82.0ms142×body80valid
55.0ms41×body1280valid
43.0ms46×body640valid
14.0ms256×pre80true
13.0ms18×body320valid
5.0ms9×body160valid

simplify79.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
79.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b
(* e (cos v))
0.1b
(* e (sin v))
0.0b
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite33.0ms

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
14.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms
(* e (cos v))
8.0ms
(* e (sin v))

series261.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
118.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
92.0ms
(* e (cos v))
51.0ms
(* e (sin v))

simplify2.8s

Counts
44 → 71
Calls
44 calls:
Slowest
445.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
341.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
328.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
313.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
297.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune674.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(* e (cos v))
0.1b
(* e (/ (sin v) (+ 1 (* e (cos v)))))
0.0b
(/ (sin v) (+ 1 (* e (cos v))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
12×add-cbrt-cube add-exp-log
7×pow1
6×associate-*l*
4×associate-/r/
3×associate-/r* prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×clear-num frac-2neg associate-*r/
Counts
3 → 84
Calls
3 calls:
Slowest
15.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
13.0ms
(/ (sin v) (+ 1 (* e (cos v))))
8.0ms
(* e (cos v))

series236.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(* e (/ (sin v) (+ 1 (* e (cos v)))))
59.0ms
(/ (sin v) (+ 1 (* e (cos v))))
53.0ms
(* e (cos v))

simplify5.1s

Counts
73 → 93
Calls
73 calls:
Slowest
415.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
406.0ms
(/ (* (* (sin v) (sin v)) (sin v)) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
345.0ms
(* (* (* e e) e) (* (* (/ (sin v) (+ 1 (* e (cos v)))) (/ (sin v) (+ 1 (* e (cos v))))) (/ (sin v) (+ 1 (* e (cos v))))))
339.0ms
(- (+ (/ (sin v) (* (pow e 3) (pow (cos v) 3))) (/ (sin v) (* e (cos v)))) (/ (sin v) (* (pow e 2) (pow (cos v) 2))))
335.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* e (cos v)))
0.6b
(cbrt (* e (cos v)))
0.6b
(cbrt (* e (cos v)))
0.5b
(* (cbrt (* e (cos v))) (cbrt (* e (cos v))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
Slowest
36.0ms
(* (cbrt (* e (cos v))) (cbrt (* e (cos v))))
8.0ms
(cbrt (* e (cos v)))
7.0ms
(cbrt (* e (cos v)))
7.0ms
(cbrt (* e (cos v)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
230.0ms
(cbrt (* e (cos v)))
210.0ms
(* (cbrt (* e (cos v))) (cbrt (* e (cos v))))
161.0ms
(cbrt (* e (cos v)))
135.0ms
(cbrt (* e (cos v)))

simplify3.0s

Counts
45 → 74
Calls
45 calls:
Slowest
283.0ms
(exp (* 1/3 (- (log (cos v)) (log (/ 1 e)))))
280.0ms
(exp (* 1/3 (- (log (cos v)) (log (/ 1 e)))))
259.0ms
(* (exp (* 1/3 (- (log (cos v)) (log (/ -1 e))))) (cbrt -1))
247.0ms
(- (pow e 2/3) (* 1/3 (* (pow (pow e 2) 1/3) (pow v 2))))
245.0ms
(exp (* 1/3 (- (log (cos v)) (log (/ 1 e)))))

prune994.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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
26.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
21.0ms
(/ (+ 1 (* e (cos v))) (sin v))
15.0ms
(* e (cos v))

series262.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
99.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
98.0ms
(/ (+ 1 (* e (cos v))) (sin v))
64.0ms
(* e (cos v))

simplify8.7s

Counts
144 → 129
Calls
144 calls:
Slowest
685.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
529.0ms
(- (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2))))
517.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
402.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
359.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.5s1485×body1280valid
1.2s1258×body640valid
919.0ms4319×body80valid
476.0ms621×body320valid
380.0ms8000×pre80true
169.0ms317×body160valid