Details

Time bar (total: 27.7s)

sample259.0ms

Algorithm
intervals
Results
101.0ms49×body1280valid
45.0ms178×body80valid
42.0ms40×body640valid
12.0ms19×body320valid
5.0ms11×body160valid

simplify113.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
112.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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
21.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms
(/ x (tan B))
5.0ms
(/ 1 (sin B))

series333.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
191.0ms
(/ x (tan B))
125.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
17.0ms
(/ 1 (sin B))

simplify2.3s

Counts
81 → 93
Calls
81 calls:
Slowest
448.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
392.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
150.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
70.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
66.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune884.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite76.0ms

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
27.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
27.0ms
(* (/ x (sin B)) (cos B))
11.0ms
(/ 1 (sin B))
9.0ms
(/ x (sin B))

series343.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(* (/ x (sin B)) (cos B))
116.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
60.0ms
(/ x (sin B))
15.0ms
(/ 1 (sin B))

simplify3.0s

Counts
93 → 120
Calls
93 calls:
Slowest
431.0ms
(/ (* (* x x) x) (* (* (sin B) (sin B)) (sin B)))
337.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
226.0ms
(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
225.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
213.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Counts
2 → 50
Calls
2 calls:
Slowest
14.0ms
(* x (cos B))
11.0ms
(/ (- 1 (* x (cos B))) (sin B))

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
95.0ms
(/ (- 1 (* x (cos B))) (sin B))
45.0ms
(* x (cos B))

simplify2.1s

Counts
44 → 56
Calls
44 calls:
Slowest
350.0ms
(/ (* (* (- 1 (* x (cos B))) (- 1 (* x (cos B)))) (- 1 (* x (cos B)))) (* (* (sin B) (sin B)) (sin B)))
281.0ms
(* (* (* x x) x) (* (* (cos B) (cos B)) (cos B)))
249.0ms
(- (pow 1 3) (pow (* x (cos B)) 3))
96.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
89.0ms
(/ (- 1 (* x (cos B))) (cbrt (sin B)))

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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
41.0ms
(* x (* (/ 1 (sin B)) (cos B)))
14.0ms
(* (/ 1 (sin B)) (cos B))
10.0ms
(/ 1 (sin B))
8.0ms
(/ 1 (sin B))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(* x (* (/ 1 (sin B)) (cos B)))
27.0ms
(* (/ 1 (sin B)) (cos B))
26.0ms
(/ 1 (sin B))
25.0ms
(/ 1 (sin B))

simplify5.6s

Counts
108 → 136
Calls
108 calls:
Slowest
643.0ms
(* (* (* x x) x) (* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B))))
479.0ms
(* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B)))
427.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
372.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
368.0ms
(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
4.2s1765×body1280valid
2.0s1409×body640valid
1.6s4998×body80valid
662.0ms686×body320valid
178.0ms327×body160valid