Details

Time bar (total: 29.1s)

sample192.0ms

Algorithm
intervals
Results
71.0ms40×body640valid
57.0ms46×body1280valid
28.0ms156×body80valid
18.0ms31×body320valid
6.0ms15×body160valid

simplify86.0ms

Calls
1 calls:
Slowest
86.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)))

rewrite16.0ms

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
12.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
2.0ms
(/ 1 (sin B))
1.0ms
(/ x (tan B))

series239.0ms

Calls
3 calls:
Slowest
124.0ms
(/ x (tan B))
100.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
15.0ms
(/ 1 (sin B))

simplify3.0s

Calls
66 calls:
Slowest
93.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
92.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
89.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))
88.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
84.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))

prune643.0ms

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity prod-diff
26×add-sqr-sqrt
24×add-cube-cbrt
18×div-inv
15×times-frac
7×add-exp-log
6×associate-/r* add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u fma-neg insert-posit16 log1p-expm1-u
3×associate-*r*
2×clear-num frac-2neg distribute-rgt-out-- distribute-lft-out--
1×cbrt-undiv rec-exp sub-neg flip3-- diff-log div-exp *-commutative frac-sub pow-flip flip-- associate-/l* inv-pow sub-div difference-of-squares
Calls
4 calls:
Slowest
8.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms
(/ (* x (cos B)) (sin B))
1.0ms
(* x (cos B))
1.0ms
(/ 1 (sin B))

series267.0ms

Calls
4 calls:
Slowest
116.0ms
(/ (* x (cos B)) (sin B))
93.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
38.0ms
(* x (cos B))
20.0ms
(/ 1 (sin B))

simplify9.9s

Calls
101 calls:
Slowest
524.0ms
(fma (- (/ 1 (sin B))) (* x (cos B)) (* (/ 1 (sin B)) (* x (cos B))))
319.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (sin B)) (* x (cos B)))))
309.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (sin B)) (* x (cos B)))))
274.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (/ (cos B) (cbrt (sin B))) (/ x (* (cbrt (sin B)) (cbrt (sin B)))))))
262.0ms
(fma (- (/ 1 (sin B))) (* x (cos B)) (* (/ 1 (sin B)) (* x (cos B))))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
0.5b
(cbrt (/ 1 (sin B)))
0.5b
(cbrt (/ 1 (sin B)))
0.5b
(cbrt (/ 1 (sin B)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×div-inv
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
1.0ms
(cbrt (/ 1 (sin B)))
1.0ms
(cbrt (/ 1 (sin B)))
1.0ms
(cbrt (/ 1 (sin B)))

series634.0ms

Calls
4 calls:
Slowest
192.0ms
(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
154.0ms
(cbrt (/ 1 (sin B)))
147.0ms
(cbrt (/ 1 (sin B)))
141.0ms
(cbrt (/ 1 (sin B)))

simplify811.0ms

Calls
53 calls:
Slowest
79.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))
74.0ms
(+ (* 1/9 (pow (pow B 4) 1/3)) (+ (pow B -2/3) (* 4/405 (pow (pow B 10) 1/3))))
74.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))
49.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))
32.0ms
(pow (/ 1 (pow (sin B) 2)) 1/3)

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin B))
0.6b
(cbrt (sin B))
0.6b
(cbrt (sin B))
0.5b
(* (cbrt (sin B)) (cbrt (sin B)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))

series661.0ms

Calls
4 calls:
Slowest
183.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
181.0ms
(cbrt (sin B))
149.0ms
(cbrt (sin B))
148.0ms
(cbrt (sin B))

simplify723.0ms

Calls
41 calls:
Slowest
153.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
152.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
124.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
112.0ms
(- (+ (pow B 2/3) (* 1/405 (pow (pow B 14) 1/3))) (* 1/9 (pow (pow B 8) 1/3)))
10.0ms
(pow (pow (sin B) 2) 1/3)

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.5s1680×body1280valid
2.0s1435×body640valid
1.8s5024×body80valid
625.0ms687×body320valid
217.0ms345×body160valid