Details

Time bar (total: 31.6s)

sample373.0ms

Algorithm
intervals
Results
117.0ms47×body1280valid
50.0ms48×body640valid
35.0ms136×body80valid
15.0ms256×pre80true
13.0ms16×body320valid
5.0ms9×body160valid

simplify85.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

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))))

rewrite42.0ms

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
19.0ms
(* e (sin v))
13.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms
(* e (cos v))

series259.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
113.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
82.0ms
(* e (sin v))
64.0ms
(* e (cos v))

simplify2.7s

Counts
44 → 71
Calls
44 calls:
Slowest
365.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
364.0ms
(/ (* (* (* e (sin v)) (* e (sin v))) (* e (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
328.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
317.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
283.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune751.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

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
57.0ms
(* (* e (cos v)) (* e (cos v)))
10.0ms
(* e (sin v))
9.0ms
(* e (cos v))
7.0ms
(* e (cos v))

series208.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
57.0ms
(* (* e (cos v)) (* e (cos v)))
53.0ms
(* e (sin v))
52.0ms
(* e (cos v))
46.0ms
(* e (cos v))

simplify3.6s

Counts
75 → 104
Calls
75 calls:
Slowest
844.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
612.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
368.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
293.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
289.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite79.0ms

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
46.0ms
(/ (+ 1 (* e (cos v))) (sin v))
15.0ms
(* e (cos v))
15.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series265.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
94.0ms
(/ (+ 1 (* e (cos v))) (sin v))
48.0ms
(* e (cos v))

simplify8.3s

Counts
144 → 129
Calls
144 calls:
Slowest
673.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
521.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
378.0ms
(- (+ (* (pow e 3) v) (* e v)) (* (pow e 2) v))
351.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
293.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
25×add-cbrt-cube add-exp-log
22×pow-prod-down
17×add-sqr-sqrt
16×associate-*l*
13×prod-exp cbrt-unprod
11×*-un-lft-identity add-cube-cbrt
8×associate-*r*
7×sqrt-prod
4×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 99
Calls
4 calls:
Slowest
57.0ms
(* (* e (cos v)) (* e (cos v)))
45.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
26.0ms
(* (sqrt e) (sin v))
14.0ms
(* e (cos v))

series302.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(* (sqrt e) (sin v))
68.0ms
(* (* e (cos v)) (* e (cos v)))
63.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
57.0ms
(* e (cos v))

simplify4.1s

Counts
82 → 111
Calls
82 calls:
Slowest
776.0ms
(* (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))) (* (* (* e e) e) (* (* (cos v) (cos v)) (cos v))))
672.0ms
(* (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))))
409.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
394.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
321.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes128.0ms

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
2.0s1536×body1280valid
1.6s1291×body640valid
904.0ms4262×body80valid
733.0ms8000×pre80true
381.0ms617×body320valid
150.0ms294×body160valid