Details

Time bar (total: 32.9s)

sample698.0ms

Algorithm
intervals
Results
172.0ms60×body1280valid
131.0ms14×body160valid
95.0ms47×body640valid
79.0ms151×body80valid
24.0ms23×body320valid

simplify152.0ms

Calls
1 calls:
Slowest
151.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ x (tan B))
0.1b
(/ 1 (sin B))
0.0b
(- (/ 1 (sin B)) (/ x (tan B)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
19×add-cube-cbrt
9×add-exp-log
7×add-cbrt-cube
6×associate-/r* associate-/l* difference-of-squares
5×add-log-exp
4×pow1
3×div-exp insert-posit16 div-inv distribute-lft-out--
2×cbrt-undiv clear-num frac-2neg
1×rec-exp sub-neg flip3-- diff-log 1-exp tan-quot associate-/r/ frac-sub pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
102.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
13.0ms
(/ x (tan B))
11.0ms
(/ 1 (sin B))

series347.0ms

Calls
3 calls:
Slowest
184.0ms
(/ x (tan B))
122.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
15.0ms
(/ 1 (sin B))

simplify2.6s

Calls
81 calls:
Slowest
461.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
453.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
120.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
93.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
81.0ms
(/ (exp (/ 1 (sin B))) (exp (/ x (tan B))))

prune922.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (tan B) x))
0.1b
(/ (tan B) x)
0.1b
(/ 1 (sin B))
0.0b
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
111×add-sqr-sqrt
85×*-un-lft-identity
64×add-cube-cbrt
21×add-exp-log
19×associate-/r*
15×difference-of-squares
13×add-cbrt-cube
11×div-inv
10×div-exp
9×associate-/l*
7×distribute-lft-out--
6×pow1 add-log-exp
5×cbrt-undiv
4×insert-posit16
3×rec-exp clear-num frac-2neg 1-exp
2×pow-flip inv-pow
1×sub-neg flip3-- diff-log tan-quot associate-/r/ frac-sub flip-- associate-/l/
Calls
4 calls:
Slowest
36.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
17.0ms
(/ 1 (/ (tan B) x))
11.0ms
(/ (tan B) x)
10.0ms
(/ 1 (sin B))

series339.0ms

Calls
4 calls:
Slowest
162.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
91.0ms
(/ 1 (/ (tan B) x))
64.0ms
(/ (tan B) x)
22.0ms
(/ 1 (sin B))

simplify9.5s

Calls
207 calls:
Slowest
427.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
421.0ms
(/ (* (* (tan B) (tan B)) (tan B)) (* (* x x) x))
396.0ms
(/ (* (* 1 1) 1) (* (* (/ (tan B) x) (/ (tan B) x)) (/ (tan B) x)))
382.0ms
(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))
358.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (tan B)) (cbrt (tan B))) (* (cbrt x) (cbrt x))))

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (tan B))
0.6b
(cbrt (tan B))
0.6b
(cbrt (tan B))
0.5b
(* (cbrt (tan B)) (cbrt (tan B)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
7×cbrt-div tan-quot
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (tan B)) (cbrt (tan B)))
4.0ms
(cbrt (tan B))
3.0ms
(cbrt (tan B))
2.0ms
(cbrt (tan B))

series628.0ms

Calls
4 calls:
Slowest
187.0ms
(cbrt (tan B))
168.0ms
(* (cbrt (tan B)) (cbrt (tan B)))
141.0ms
(cbrt (tan B))
132.0ms
(cbrt (tan B))

simplify2.3s

Calls
72 calls:
Slowest
306.0ms
(pow (/ (pow (sin B) 2) (pow (cos B) 2)) 1/3)
259.0ms
(pow (/ (pow (sin B) 2) (pow (cos B) 2)) 1/3)
254.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))
219.0ms
(+ (pow B 2/3) (+ (* 31/405 (pow (pow B 14) 1/3)) (* 2/9 (pow (pow B 8) 1/3))))
218.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (tan B)))
0.6b
(cbrt (cbrt (tan B)))
0.6b
(cbrt (cbrt (tan B)))
0.6b
(cbrt (tan B))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×cbrt-div
4×pow1 add-cbrt-cube pow1/3 tan-quot add-exp-log insert-posit16 add-log-exp
Calls
4 calls:
Slowest
2.0ms
(cbrt (cbrt (tan B)))
2.0ms
(cbrt (tan B))
2.0ms
(cbrt (cbrt (tan B)))
2.0ms
(cbrt (cbrt (tan B)))

series641.0ms

Calls
4 calls:
Slowest
168.0ms
(cbrt (tan B))
166.0ms
(cbrt (cbrt (tan B)))
159.0ms
(cbrt (cbrt (tan B)))
148.0ms
(cbrt (cbrt (tan B)))

simplify1.3s

Calls
37 calls:
Slowest
209.0ms
(+ (* 1/27 (pow (pow B 19) 1/9)) (+ (* 34/3645 (pow (pow B 37) 1/9)) (pow B 1/9)))
206.0ms
(+ (* 1/27 (pow (pow B 19) 1/9)) (+ (* 34/3645 (pow (pow B 37) 1/9)) (pow B 1/9)))
188.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))
187.0ms
(+ (* 1/27 (pow (pow B 19) 1/9)) (+ (* 34/3645 (pow (pow B 37) 1/9)) (pow B 1/9)))
65.0ms
(pow (/ (sin B) (cos B)) 1/9)

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch4.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.0s1692×body1280valid
2.3s1450×body640valid
1.4s4912×body80valid
1.1s718×body320valid
179.0ms358×body160valid