Details

Time bar (total: 25.3s)

sample280.0ms

Algorithm
intervals
Results
101.0ms57×body1280valid
95.0ms49×body640valid
42.0ms158×body80valid
21.0ms25×body320valid
5.0ms9×body160valid

simplify77.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
77.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)))

rewrite34.0ms

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
23.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms
(/ x (tan B))
5.0ms
(/ 1 (sin B))

series329.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
161.0ms
(/ x (tan B))
142.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
26.0ms
(/ 1 (sin B))

simplify2.3s

Counts
81 → 93
Calls
81 calls:
Slowest
392.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
341.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
104.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
95.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
82.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune834.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite43.0ms

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
25.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
13.0ms
(/ 1 (sin B))
5.0ms
(/ x (tan B))

series304.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
145.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
132.0ms
(/ x (tan B))
27.0ms
(/ 1 (sin B))

simplify2.3s

Counts
81 → 93
Calls
81 calls:
Slowest
433.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
394.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
105.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
69.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
68.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune803.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
16×add-cube-cbrt
15×times-frac add-exp-log
13×add-cbrt-cube
7×pow1 div-inv
6×associate-/r* add-log-exp
4×div-exp insert-posit16 associate-/l*
3×cbrt-undiv distribute-rgt-out-- associate-*r* associate-*l* difference-of-squares
2×clear-num frac-2neg prod-exp cbrt-unprod distribute-lft-out--
1×rec-exp sub-neg flip3-- diff-log 1-exp pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow sub-div unswap-sqr
Counts
4 → 96
Calls
4 calls:
Slowest
35.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
14.0ms
(/ (* x (cos B)) (sin B))
12.0ms
(* x (cos B))
10.0ms
(/ 1 (sin B))

series365.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
171.0ms
(/ (* x (cos B)) (sin B))
122.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
53.0ms
(* x (cos B))
19.0ms
(/ 1 (sin B))

simplify3.1s

Counts
81 → 108
Calls
81 calls:
Slowest
410.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
294.0ms
(* (* (* x x) x) (* (* (cos B) (cos B)) (cos B)))
247.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
195.0ms
(/ (* (* (* x (cos B)) (* x (cos B))) (* x (cos B))) (* (* (sin B) (sin B)) (sin B)))
137.0ms
(/ (* (* (* x x) x) (* (* (cos B) (cos B)) (cos B))) (* (* (sin B) (sin B)) (sin B)))

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
16×add-cube-cbrt
15×times-frac add-exp-log
13×add-cbrt-cube
7×pow1 div-inv
6×associate-/r* add-log-exp
4×div-exp insert-posit16 associate-/l*
3×cbrt-undiv distribute-rgt-out-- associate-*r* associate-*l* difference-of-squares
2×clear-num frac-2neg prod-exp cbrt-unprod distribute-lft-out--
1×rec-exp sub-neg flip3-- diff-log 1-exp pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow sub-div unswap-sqr
Counts
4 → 96
Calls
4 calls:
Slowest
24.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
22.0ms
(/ (* x (cos B)) (sin B))
10.0ms
(* x (cos B))
5.0ms
(/ 1 (sin B))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
139.0ms
(/ (* x (cos B)) (sin B))
57.0ms
(* x (cos B))
22.0ms
(/ 1 (sin B))

simplify3.3s

Counts
81 → 108
Calls
81 calls:
Slowest
414.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
359.0ms
(* (* (* x x) x) (* (* (cos B) (cos B)) (cos B)))
214.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
205.0ms
(/ (* (* (* x (cos B)) (* x (cos B))) (* x (cos B))) (* (* (sin B) (sin B)) (sin B)))
153.0ms
(/ (* (* (* x x) x) (* (* (cos B) (cos B)) (cos B))) (* (* (sin B) (sin B)) (sin B)))

prune979.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample8.6s

Algorithm
intervals
Results
3.5s1701×body1280valid
2.6s1462×body640valid
1.3s4890×body80valid
702.0ms729×body320valid
250.0ms361×body160valid