Details

Time bar (total: 27.4s)

sample338.0ms

Algorithm
intervals
Results
86.0ms57×body1280valid
84.0ms146×body80valid
59.0ms55×body640valid
20.0ms27×body320valid
3.0ms6×body160valid

simplify101.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
101.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)))

rewrite45.0ms

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
30.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms
(/ x (tan B))
5.0ms
(/ 1 (sin B))

series337.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
169.0ms
(/ x (tan B))
139.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
28.0ms
(/ 1 (sin B))

simplify2.7s

Counts
81 → 93
Calls
81 calls:
Slowest
549.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
490.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
96.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
89.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
82.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune923.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite40.0ms

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
28.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms
(/ 1 (sin B))
5.0ms
(/ x (tan B))

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
140.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
139.0ms
(/ x (tan B))
26.0ms
(/ 1 (sin B))

simplify2.3s

Counts
81 → 93
Calls
81 calls:
Slowest
437.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
392.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
110.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
77.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
72.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune946.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
29×*-un-lft-identity times-frac
28×add-cube-cbrt
21×add-exp-log
14×associate-*r*
13×add-cbrt-cube
8×pow1
6×associate-/r* div-exp associate-/l* add-log-exp
4×prod-exp insert-posit16
3×cbrt-undiv rec-exp 1-exp associate-*l* div-inv unswap-sqr
2×clear-num frac-2neg tan-quot associate-*r/ associate-/r/ un-div-inv frac-sub cbrt-unprod pow-flip inv-pow
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 118
Calls
4 calls:
Slowest
35.0ms
(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
13.0ms
(* x (/ 1 (tan B)))
7.0ms
(/ 1 (sin B))
6.0ms
(/ 1 (tan B))

series394.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
173.0ms
(* x (/ 1 (tan B)))
165.0ms
(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
39.0ms
(/ 1 (tan B))
18.0ms
(/ 1 (sin B))

simplify3.9s

Counts
103 → 130
Calls
103 calls:
Slowest
532.0ms
(* (* (* x x) x) (* (* (/ 1 (tan B)) (/ 1 (tan B))) (/ 1 (tan B))))
453.0ms
(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
429.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
289.0ms
(* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (tan B) (tan B)) (tan B))))
231.0ms
(/ (exp (/ 1 (sin B))) (exp (* x (/ 1 (tan B)))))

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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
29.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
28.0ms
(* (/ x (sin B)) (cos B))
10.0ms
(/ 1 (sin B))
9.0ms
(/ x (sin B))

series394.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
169.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
115.0ms
(* (/ x (sin B)) (cos B))
78.0ms
(/ x (sin B))
31.0ms
(/ 1 (sin B))

simplify3.7s

Counts
93 → 120
Calls
93 calls:
Slowest
815.0ms
(/ (* (* x x) x) (* (* (sin B) (sin B)) (sin B)))
445.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
268.0ms
(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
259.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
216.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.5s1681×body1280valid
2.2s1453×body640valid
1.4s4878×body80valid
727.0ms738×body320valid
250.0ms371×body160valid