Details

Time bar (total: 1.3m)

sample475.0ms

Algorithm
intervals
Results
167.0ms256×pre80true
85.0ms136×body80valid
77.0ms45×body1280valid
31.0ms49×body640valid
10.0ms18×body320valid
6.0ms8×body160valid

simplify131.0ms

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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

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))))

rewrite148.0ms

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
64.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
55.0ms
(* e (cos v))
25.0ms
(* e (sin v))

series281.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ (* e (sin v)) (+ 1 (* e (cos v))))
92.0ms
(* e (sin v))
74.0ms
(* e (cos v))

simplify3.2s

Counts
44 → 77
Calls
44 calls:
Slowest
565.0ms
(* (* (* e e) e) (* (* (sin v) (sin v)) (sin v)))
541.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
371.0ms
(/ (* (* (* 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)))
293.0ms
(/ (* (* (* e e) e) (* (* (sin v) (sin v)) (sin v))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune757.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite78.0ms

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
42.0ms
(/ (+ 1 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
14.0ms
(* e (cos v))

series275.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
115.0ms
(/ (+ 1 (* e (cos v))) (sin v))
110.0ms
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
51.0ms
(* e (cos v))

simplify8.4s

Counts
144 → 135
Calls
144 calls:
Slowest
773.0ms
(* (* (* e e) e) (* (* (cos v) (cos v)) (cos v)))
661.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
612.0ms
(/ (* (* e e) e) (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))))
298.0ms
(/ (* (cbrt e) (cbrt e)) (/ (* (cbrt (+ 1 (* e (cos v)))) (cbrt (+ 1 (* e (cos v))))) (* (cbrt (sin v)) (cbrt (sin v)))))
293.0ms
(+ (pow 1 3) (pow (* e (cos v)) 3))

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt e) (sin v))
0.2b
(* (sqrt e) (* (sqrt e) (sin v)))
0.1b
(* e (cos v))
0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
15×associate-*l*
13×pow1 *-un-lft-identity add-cube-cbrt
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative unswap-sqr
2×associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
Slowest
58.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
26.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
14.0ms
(* (sqrt e) (sin v))
8.0ms
(* e (cos v))

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
91.0ms
(* (sqrt e) (sin v))
50.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
48.0ms
(* e (cos v))

simplify5.4s

Counts
67 → 110
Calls
67 calls:
Slowest
683.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v))))
624.0ms
(* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v))))
560.0ms
(+ (* 1 1) (- (* (* e (cos v)) (* e (cos v))) (* 1 (* e (cos v)))))
518.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (sin v) (sin v)) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))
483.0ms
(/ (* (* (* (sqrt e) (sqrt e)) (sqrt e)) (* (* (* (sqrt e) (sin v)) (* (sqrt e) (sin v))) (* (sqrt e) (sin v)))) (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))))

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
242×add-sqr-sqrt
240×*-un-lft-identity add-cube-cbrt
49×associate-/r*
34×add-exp-log
23×div-inv
22×add-cbrt-cube
19×div-exp associate-/l*
10×cbrt-undiv
7×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg 1-exp associate-*r* associate-*l* associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ pow-flip inv-pow unswap-sqr
Counts
4 → 329
Calls
4 calls:
Slowest
35.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
31.0ms
(/ (+ 1 (* e (cos v))) (sin v))
26.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
8.0ms
(* e (cos v))

series423.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
121.0ms
(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
98.0ms
(/ (+ 1 (* e (cos v))) (sin v))
67.0ms
(* e (cos v))

simplify43.7s

Counts
459 → 341
Calls
459 calls:
Slowest
790.0ms
(/ (* (* (/ (+ 1 (* e (cos v))) (sin v)) (/ (+ 1 (* e (cos v))) (sin v))) (/ (+ 1 (* e (cos v))) (sin v))) (* (* e e) e))
639.0ms
(/ (* (* 1 1) 1) (* (* (/ (/ (+ 1 (* e (cos v))) (sin v)) e) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)) (/ (/ (+ 1 (* e (cos v))) (sin v)) e)))
624.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (* (cbrt (sin v)) (cbrt (sin v)))) (* (cbrt e) (cbrt e))))
610.0ms
(/ (* (* (+ 1 (* e (cos v))) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v)))) (* (* (sin v) (sin v)) (sin v)))
495.0ms
(/ 1 (/ (/ (sqrt (+ 1 (* e (cos v)))) (sqrt (sin v))) e))

prune3.8s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes221.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s1532×body1280valid
1.1s1244×body640valid
849.0ms4286×body80valid
404.0ms625×body320valid
357.0ms8000×pre80true
186.0ms313×body160valid