Details

Time bar (total: 24.0s)

sample460.0ms

Algorithm
intervals
Results
299.0ms112×body2560valid
96.0ms80×body1280valid
30.0ms38×body640valid
10.0ms256×pre80true
8.0ms15×body320valid
4.0ms11×body160valid

simplify70.0ms

Calls
1 calls:
Slowest
70.0ms
(- (/ 1 x) (/ 1 (tan x)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize10.0ms

Local error

Found 2 expressions with local error:

3.1b
(- (/ 1 x) (/ 1 (tan x)))
0.0b
(/ 1 (tan x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
5×add-sqr-sqrt div-inv
4×distribute-lft-out-- add-log-exp
3×pow1 associate-/r* add-exp-log add-cube-cbrt
2×add-cbrt-cube insert-posit16
1×rec-exp clear-num sub-neg frac-2neg flip3-- diff-log tan-quot associate-/r/ frac-sub pow-flip flip-- inv-pow difference-of-squares
Calls
2 calls:
Slowest
5.0ms
(- (/ 1 x) (/ 1 (tan x)))
1.0ms
(/ 1 (tan x))

series143.0ms

Calls
2 calls:
Slowest
92.0ms
(- (/ 1 x) (/ 1 (tan x)))
51.0ms
(/ 1 (tan x))

simplify680.0ms

Calls
20 calls:
Slowest
273.0ms
(- (/ 1 x) (+ (* 1/3 x) (* 1/45 (pow x 3))))
82.0ms
(+ (* 1/3 x) (+ (* 1/45 (pow x 3)) (* 2/945 (pow x 5))))
71.0ms
(/ (exp (/ 1 x)) (exp (/ 1 (tan x))))
34.0ms
(- (/ 1 x) (/ (cos x) (sin x)))
32.0ms
(- (/ 1 x) (/ 1 (tan x)))

prune275.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (+ (* x (* 1/45 x)) 1/3))
0.2b
(* 1/45 x)
0.1b
(* x (* 1/45 x))
0.1b
(* (pow x 5) 2/945)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube associate-*r* add-exp-log *-commutative insert-posit16 add-log-exp
3×associate-*l*
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+
Calls
4 calls:
Slowest
9.0ms
(* x (+ (* x (* 1/45 x)) 1/3))
5.0ms
(* (pow x 5) 2/945)
2.0ms
(* x (* 1/45 x))
0.0ms
(* 1/45 x)

series271.0ms

Calls
4 calls:
Slowest
126.0ms
(* x (+ (* x (* 1/45 x)) 1/3))
78.0ms
(* (pow x 5) 2/945)
41.0ms
(* x (* 1/45 x))
26.0ms
(* 1/45 x)

simplify700.0ms

Calls
21 calls:
Slowest
373.0ms
(+ (* (* x (* 1/45 x)) (* x (* 1/45 x))) (- (* 1/3 1/3) (* (* x (* 1/45 x)) 1/3)))
50.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))
48.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))
45.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))
28.0ms
(+ (* x (* 1/45 x)) 1/3)

prune498.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
0.3b
(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
0.2b
(* 1/45 x)
0.2b
(* 1/45 x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×pow1 associate-*r* associate-*r/ insert-posit16 add-log-exp
3×associate-/r* times-frac flip3-- *-commutative flip--
2×distribute-rgt-in sub-neg distribute-lft-in associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l* difference-of-squares
Calls
4 calls:
Slowest
34.0ms
(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
25.0ms
(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
0.0ms
(* 1/45 x)
0.0ms
(* 1/45 x)

series547.0ms

Calls
4 calls:
Slowest
341.0ms
(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
162.0ms
(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
23.0ms
(* 1/45 x)
22.0ms
(* 1/45 x)

simplify4.3s

Calls
37 calls:
Slowest
662.0ms
(* x (- (pow (* (* x (* 1/45 x)) (* x (* 1/45 x))) 3) (pow (* 1/3 1/3) 3)))
502.0ms
(/ (* (* (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))) (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))) (* (* (- (* x (* 1/45 x)) 1/3) (- (* x (* 1/45 x)) 1/3)) (- (* x (* 1/45 x)) 1/3)))
380.0ms
(* x (- (* (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* (* x (* 1/45 x)) (* x (* 1/45 x)))) (* (* 1/3 1/3) (* 1/3 1/3))))
292.0ms
(sqrt (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
263.0ms
(cbrt (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))

prune695.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/45 x)
0.2b
(* 1/45 x)
0.2b
(* 1/45 x)
0.1b
(* x (* 1/45 x))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log *-commutative add-cube-cbrt insert-posit16 add-log-exp
1×associate-*r*
Calls
4 calls:
Slowest
1.0ms
(* x (* 1/45 x))
0.0ms
(* 1/45 x)
0.0ms
(* 1/45 x)
0.0ms
(* 1/45 x)

series89.0ms

Calls
4 calls:
Slowest
38.0ms
(* x (* 1/45 x))
21.0ms
(* 1/45 x)
16.0ms
(* 1/45 x)
15.0ms
(* 1/45 x)

simplify76.0ms

Calls
12 calls:
Slowest
15.0ms
(* 1/45 (pow x 2))
9.0ms
(* 1/45 (pow x 2))
9.0ms
(* 1/45 (pow x 2))
6.0ms
(* 1/45 x)
5.0ms
(* 1/45 x)

prune550.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample14.4s

Algorithm
intervals
Results
9.1s3229×body2560valid
3.3s2590×body1280valid
1.1s1177×body640valid
374.0ms681×body320valid
365.0ms8000×pre80true
95.0ms280×body160valid
7.0ms43×body80valid