Details

Time bar (total: 32.6s)

sample229.0ms

Algorithm
intervals
Results
81.0ms53×body640valid
67.0ms43×body1280valid
40.0ms160×body80valid
20.0ms24×body320valid
6.0ms11×body160valid

simplify125.0ms

Calls
1 calls:
Slowest
124.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune20.0ms

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)))

rewrite42.0ms

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
Calls
3 calls:
Slowest
22.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
13.0ms
(/ 1 (sin B))
5.0ms
(/ x (tan B))

series282.0ms

Calls
3 calls:
Slowest
148.0ms
(/ x (tan B))
121.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
13.0ms
(/ 1 (sin B))

simplify2.4s

Calls
81 calls:
Slowest
466.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
370.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
104.0ms
(/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B)))
94.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
91.0ms
(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune942.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite60.0ms

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
Calls
4 calls:
Slowest
23.0ms
(/ (* x (cos B)) (sin B))
19.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
8.0ms
(/ 1 (sin B))
8.0ms
(* x (cos B))

series312.0ms

Calls
4 calls:
Slowest
125.0ms
(/ (* x (cos B)) (sin B))
123.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
43.0ms
(* x (cos B))
19.0ms
(/ 1 (sin B))

simplify3.1s

Calls
81 calls:
Slowest
385.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
238.0ms
(* (* (* x x) x) (* (* (cos B) (cos B)) (cos B)))
230.0ms
(/ (* (* (* x (cos B)) (* x (cos B))) (* x (cos B))) (* (* (sin B) (sin B)) (sin B)))
189.0ms
(/ (* (* (* x x) x) (* (* (cos B) (cos B)) (cos B))) (* (* (sin B) (sin B)) (sin B)))
170.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (tan B) x))
0.1b
(/ 1 (sin B))
0.1b
(/ (tan B) x)
0.0b
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
111×add-sqr-sqrt
85×*-un-lft-identity
64×add-cube-cbrt
21×add-exp-log
19×associate-/r*
15×difference-of-squares
13×add-cbrt-cube
11×div-inv
10×div-exp
9×associate-/l*
7×distribute-lft-out--
6×pow1 add-log-exp
5×cbrt-undiv
4×insert-posit16
3×rec-exp clear-num frac-2neg 1-exp
2×pow-flip inv-pow
1×sub-neg flip3-- diff-log tan-quot associate-/r/ frac-sub flip-- associate-/l/
Calls
4 calls:
Slowest
31.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
7.0ms
(/ 1 (/ (tan B) x))
6.0ms
(/ (tan B) x)
5.0ms
(/ 1 (sin B))

series388.0ms

Calls
4 calls:
Slowest
146.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
138.0ms
(/ 1 (/ (tan B) x))
79.0ms
(/ (tan B) x)
24.0ms
(/ 1 (sin B))

simplify9.3s

Calls
207 calls:
Slowest
422.0ms
(/ (* (* (tan B) (tan B)) (tan B)) (* (* x x) x))
399.0ms
(/ (* (* 1 1) 1) (* (* (/ (tan B) x) (/ (tan B) x)) (/ (tan B) x)))
364.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
331.0ms
(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))
257.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (tan B)) (cbrt (tan B))) (* (cbrt x) (cbrt x))))

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
11.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))

series552.0ms

Calls
4 calls:
Slowest
175.0ms
(cbrt (sin B))
141.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
129.0ms
(cbrt (sin B))
106.0ms
(cbrt (sin B))

simplify1.5s

Calls
65 calls:
Slowest
278.0ms
(- (+ (pow B 2/3) (* 1/405 (pow (pow B 14) 1/3))) (* 1/9 (pow (pow B 8) 1/3)))
271.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
251.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
233.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
87.0ms
(* (* (cbrt (cbrt (sin B))) (cbrt (cbrt (sin B)))) (* (cbrt (cbrt (sin B))) (cbrt (cbrt (sin B)))))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample8.8s

Algorithm
intervals
Results
3.9s1712×body1280valid
2.0s1461×body640valid
1.8s4850×body80valid
692.0ms742×body320valid
258.0ms336×body160valid