Details

Time bar (total: 36.6s)

sample245.0ms

Algorithm
intervals
Results
97.0ms52×body1280valid
59.0ms53×body640valid
45.0ms138×body80valid
23.0ms26×body320valid
8.0ms15×body160valid

simplify94.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
94.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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
Counts
3 → 84
Calls
3 calls:
Slowest
20.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms
(/ 1 (sin B))
5.0ms
(/ x (tan B))

series315.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
168.0ms
(/ x (tan B))
131.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
16.0ms
(/ 1 (sin B))

simplify2.5s

Counts
81 → 93
Calls
81 calls:
Slowest
503.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
411.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
116.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
107.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
83.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune966.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×add-exp-log
13×add-cbrt-cube associate-*l*
7×pow1
6×associate-/r* associate-/l* add-log-exp
4×div-exp insert-posit16
3×cbrt-undiv associate-*r* associate-*l/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×rec-exp sub-neg flip3-- diff-log 1-exp pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow sub-div
Counts
4 → 108
Calls
4 calls:
Slowest
26.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
14.0ms
(* (/ x (sin B)) (cos B))
5.0ms
(/ 1 (sin B))
4.0ms
(/ x (sin B))

series334.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
120.0ms
(* (/ x (sin B)) (cos B))
65.0ms
(/ x (sin B))
15.0ms
(/ 1 (sin B))

simplify3.1s

Counts
93 → 120
Calls
93 calls:
Slowest
473.0ms
(/ (* (* x x) x) (* (* (sin B) (sin B)) (sin B)))
410.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
254.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
220.0ms
(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
168.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (/ 1 (sin B)) (cos B)))
0.2b
(* (/ 1 (sin B)) (cos B))
0.1b
(/ 1 (sin B))
0.1b
(/ 1 (sin B))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt add-exp-log
30×*-un-lft-identity
29×times-frac add-cube-cbrt
22×add-cbrt-cube
16×associate-*l*
13×pow1 prod-exp
8×div-exp
7×cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv rec-exp 1-exp associate-*r* pow-prod-down insert-posit16 add-log-exp
3×div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative pow-flip inv-pow
1×associate-*r/
Counts
4 → 124
Calls
4 calls:
Slowest
31.0ms
(* x (* (/ 1 (sin B)) (cos B)))
18.0ms
(* (/ 1 (sin B)) (cos B))
5.0ms
(/ 1 (sin B))
5.0ms
(/ 1 (sin B))

series230.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(* x (* (/ 1 (sin B)) (cos B)))
35.0ms
(* (/ 1 (sin B)) (cos B))
27.0ms
(/ 1 (sin B))
25.0ms
(/ 1 (sin B))

simplify5.4s

Counts
108 → 136
Calls
108 calls:
Slowest
697.0ms
(* (* (* x x) x) (* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B))))
411.0ms
(* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B)))
404.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
387.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
374.0ms
(* (/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B))) (* (* (cos B) (cos B)) (cos B)))

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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/
Counts
4 → 174
Calls
4 calls:
Slowest
40.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
9.0ms
(/ (tan B) x)
6.0ms
(/ 1 (/ (tan B) x))
5.0ms
(/ 1 (sin B))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
137.0ms
(/ 1 (/ (tan B) x))
69.0ms
(/ (tan B) x)
25.0ms
(/ 1 (sin B))

simplify9.8s

Counts
207 → 186
Calls
207 calls:
Slowest
529.0ms
(/ (* (* 1 1) 1) (* (* (/ (tan B) x) (/ (tan B) x)) (/ (tan B) x)))
460.0ms
(/ 1 (/ (cbrt (tan B)) (cbrt x)))
438.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
428.0ms
(/ (* (* (tan B) (tan B)) (tan B)) (* (* x x) x))
335.0ms
(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.7s1791×body1280valid
2.3s1433×body640valid
1.4s4865×body80valid
636.0ms703×body320valid
178.0ms350×body160valid