Details

Time bar (total: 1.4m)

sample1.0s

Algorithm
intervals
Results
189.0ms53×body1280valid
153.0ms41×body640valid
87.0ms155×body80valid
32.0ms24×body320valid
11.0ms14×body160valid

simplify284.0ms

Calls
1 calls:
Slowest
283.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
72×add-sqr-sqrt
64×*-un-lft-identity
60×associate-/r* associate-/l*
55×add-cube-cbrt
27×times-frac
20×clear-num frac-2neg
9×add-exp-log
7×add-cbrt-cube
6×difference-of-squares
5×add-log-exp
4×pow1
3×div-exp insert-posit16 div-inv distribute-lft-out--
2×cbrt-undiv
1×rec-exp sub-neg flip3-- diff-log 1-exp tan-quot associate-/r/ pow-flip flip-- inv-pow
Calls
3 calls:
Slowest
85.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
27.0ms
(/ x (tan B))
11.0ms
(/ 1 (sin B))

series481.0ms

Calls
3 calls:
Slowest
308.0ms
(/ x (tan B))
138.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
35.0ms
(/ 1 (sin B))

simplify16.6s

Calls
241 calls:
Slowest
479.0ms
(/ (* (* x x) x) (* (* (tan B) (tan B)) (tan B)))
473.0ms
(- (* (/ 1 (* (cbrt (sin B)) (cbrt (sin B)))) (/ (tan B) x)) (* (cbrt (sin B)) 1))
459.0ms
(- (* (/ 1 (* (cbrt (sin B)) (cbrt (sin B)))) (/ (tan B) x)) (* (cbrt (sin B)) 1))
437.0ms
(- (* (/ 1 (* (cbrt (sin B)) (cbrt (sin B)))) (/ (tan B) (cbrt x))) (* (cbrt (sin B)) (* (cbrt x) (cbrt x))))
420.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
97×associate-*l/
87×*-un-lft-identity
81×frac-sub
71×associate-/r*
70×add-cube-cbrt
63×associate-/l*
43×times-frac
23×frac-2neg
21×clear-num
18×associate-*l*
15×add-exp-log
13×add-cbrt-cube
9×difference-of-squares
8×unswap-sqr
7×pow1 distribute-lft-out-- sub-div
6×add-log-exp
5×div-inv
4×div-exp insert-posit16
3×cbrt-undiv associate-*r*
2×prod-exp cbrt-unprod
1×rec-exp sub-neg flip3-- diff-log 1-exp pow-prod-down *-commutative pow-flip flip-- inv-pow
Calls
4 calls:
Slowest
66.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
33.0ms
(* (/ x (sin B)) (cos B))
6.0ms
(/ 1 (sin B))
5.0ms
(/ x (sin B))

series370.0ms

Calls
4 calls:
Slowest
158.0ms
(* (/ x (sin B)) (cos B))
116.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
70.0ms
(/ x (sin B))
25.0ms
(/ 1 (sin B))

simplify32.3s

Calls
301 calls:
Slowest
808.0ms
(- (* 1 (sin B)) (* (/ (sin B) 1) (* x (cos B))))
774.0ms
(- (* 1 (sin B)) (* (/ (sin B) 1) (* x (cos B))))
677.0ms
(- (* (sqrt 1) (/ (sin B) (sqrt x))) (* (/ (sin B) (sqrt 1)) (* (sqrt x) (cos B))))
656.0ms
(- (* (- 1) (/ (sin B) (sqrt x))) (* (- (sin B)) (* (sqrt x) (cos B))))
612.0ms
(- (* (/ 1 (sqrt (sin B))) (cbrt (sin B))) (* (sqrt (sin B)) (* (/ x (* (cbrt (sin B)) (cbrt (sin B)))) (cos B))))

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×*-un-lft-identity
27×times-frac
18×add-cube-cbrt
16×difference-of-squares
9×associate-/l* unswap-sqr
8×distribute-lft-out--
7×associate-*l*
6×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*r*
2×insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip--
Calls
2 calls:
Slowest
39.0ms
(/ (- 1 (* x (cos B))) (sin B))
10.0ms
(* x (cos B))

series147.0ms

Calls
2 calls:
Slowest
103.0ms
(/ (- 1 (* x (cos B))) (sin B))
44.0ms
(* x (cos B))

simplify4.0s

Calls
84 calls:
Slowest
342.0ms
(* (* (* x x) x) (* (* (cos B) (cos B)) (cos B)))
326.0ms
(/ (* (* (- 1 (* x (cos B))) (- 1 (* x (cos B)))) (- 1 (* x (cos B)))) (* (* (sin B) (sin B)) (sin B)))
256.0ms
(- (pow 1 3) (pow (* x (cos B)) 3))
116.0ms
(/ (- 1 (* (sqrt x) (sqrt (cos B)))) (cbrt (sin B)))
111.0ms
(/ (- 1 (* x (cos B))) (sin B))

prune749.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
207×cbrt-div
143×add-sqr-sqrt
119×cbrt-prod
113×*-un-lft-identity
103×add-cube-cbrt
81×frac-times
79×times-frac
69×associate-/r* associate-/l*
23×clear-num frac-2neg
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 associate-*l/ associate-*r/ div-inv
8×add-cbrt-cube
6×add-exp-log
4×cbrt-unprod insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
27.0ms
(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
6.0ms
(cbrt (/ 1 (sin B)))
5.0ms
(cbrt (/ 1 (sin B)))
5.0ms
(cbrt (/ 1 (sin B)))

series642.0ms

Calls
4 calls:
Slowest
168.0ms
(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
166.0ms
(cbrt (/ 1 (sin B)))
164.0ms
(cbrt (/ 1 (sin B)))
145.0ms
(cbrt (/ 1 (sin B)))

simplify7.8s

Calls
373 calls:
Slowest
280.0ms
(* (* (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B)))) (/ 1 (sin B)))
277.0ms
(* (/ 1 (sin B)) (* (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B)))))
264.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))
231.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))
216.0ms
(+ (pow B -1/3) (+ (* 11/3240 (pow (pow B 11) 1/3)) (* 1/18 (pow (pow B 5) 1/3))))

prune3.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes134.0ms

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
3.5s1741×body1280valid
2.8s1494×body640valid
1.5s4838×body80valid
560.0ms706×body320valid
238.0ms373×body160valid