Details

Time bar (total: 26.2s)

sample156.0ms

Algorithm
intervals
Results
72.0ms55×body1280valid
34.0ms47×body640valid
26.0ms153×body80valid
7.0ms20×body160valid
7.0ms13×body320valid

simplify80.0ms

Calls
1 calls:
Slowest
80.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×prod-diff
18×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
13×div-inv
6×associate-/r*
5×tan-quot associate-/r/ add-log-exp
4×pow1 fma-neg add-exp-log
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
2×clear-num frac-2neg distribute-lft-out--
1×rec-exp sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow difference-of-squares
Calls
3 calls:
Slowest
7.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms
(/ x (tan B))
1.0ms
(/ 1 (sin B))

series249.0ms

Calls
3 calls:
Slowest
135.0ms
(/ x (tan B))
101.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
13.0ms
(/ 1 (sin B))

simplify2.9s

Calls
66 calls:
Slowest
113.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
95.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
88.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
84.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
83.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))

prune788.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×associate-/r* add-cbrt-cube add-log-exp
5×div-inv
4×expm1-log1p-u fma-neg associate-*l* prod-diff insert-posit16 log1p-expm1-u
3×associate-*r* associate-*l/
2×clear-num frac-2neg
1×rec-exp sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod pow-flip flip-- inv-pow sub-div
Calls
4 calls:
Slowest
8.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms
(* (/ x (sin B)) (cos B))
1.0ms
(/ 1 (sin B))
0.0ms
(/ x (sin B))

series325.0ms

Calls
4 calls:
Slowest
146.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
105.0ms
(* (/ x (sin B)) (cos B))
57.0ms
(/ x (sin B))
17.0ms
(/ 1 (sin B))

simplify1.4s

Calls
43 calls:
Slowest
141.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
124.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
95.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))
85.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
75.0ms
(fma (- (cos B)) (/ x (sin B)) (* (cos B) (/ x (sin B))))

prune735.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×prod-diff
19×add-sqr-sqrt
18×div-inv
17×add-cube-cbrt
7×associate-/r*
6×pow1 add-exp-log add-log-exp
5×associate-/r/
4×expm1-log1p-u add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u distribute-lft-out--
3×clear-num frac-2neg associate-/l*
2×rec-exp pow-flip inv-pow
1×sub-neg flip3-- diff-log tan-quot frac-sub flip-- difference-of-squares associate-/l/
Calls
4 calls:
Slowest
9.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
3.0ms
(/ (tan B) x)
1.0ms
(/ 1 (/ (tan B) x))
1.0ms
(/ 1 (sin B))

series321.0ms

Calls
4 calls:
Slowest
145.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
101.0ms
(/ 1 (/ (tan B) x))
53.0ms
(/ (tan B) x)
21.0ms
(/ 1 (sin B))

simplify4.8s

Calls
75 calls:
Slowest
349.0ms
(fma (- (sqrt (/ 1 (/ (tan B) x)))) (sqrt (/ 1 (/ (tan B) x))) (* (sqrt (/ 1 (/ (tan B) x))) (sqrt (/ 1 (/ (tan B) x)))))
161.0ms
(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))
118.0ms
(fma 1 (/ 1 (sin B)) (- (* (sqrt (/ 1 (/ (tan B) x))) (sqrt (/ 1 (/ (tan B) x))))))
118.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* x (/ 1 (tan B)))))
116.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (/ (tan B) x)) 1)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×prod-diff
18×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
13×div-inv
6×associate-/r*
5×tan-quot associate-/r/ add-log-exp
4×pow1 fma-neg add-exp-log
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
2×clear-num frac-2neg distribute-lft-out--
1×rec-exp sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow difference-of-squares
Calls
3 calls:
Slowest
14.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
2.0ms
(/ 1 (sin B))
1.0ms
(/ x (tan B))

series337.0ms

Calls
3 calls:
Slowest
159.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
156.0ms
(/ x (tan B))
21.0ms
(/ 1 (sin B))

simplify3.5s

Calls
66 calls:
Slowest
130.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
113.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
112.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
109.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
95.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune797.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample8.5s

Algorithm
intervals
Results
3.7s1722×body1280valid
1.8s4971×body80valid
1.7s1418×body640valid
763.0ms679×body320valid
222.0ms396×body160valid