Details

Time bar (total: 7.0m)

sample889.0ms

Algorithm
intervals
Results
636.0ms52×body1280valid
78.0ms53×body640valid
44.0ms138×body80valid
27.0ms26×body320valid
11.0ms15×body160valid

simplify153.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
152.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
232×add-sqr-sqrt
224×*-un-lft-identity
215×add-cube-cbrt
182×prod-diff
31×div-inv
14×tan-quot associate-/r/
13×fma-neg
9×add-exp-log
7×add-cbrt-cube
6×associate-/r* associate-/l* difference-of-squares
5×add-log-exp
4×pow1
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-undiv clear-num frac-2neg
1×rec-exp sub-neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
3 → 285
Calls
3 calls:
Slowest
64.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
14.0ms
(/ 1 (sin B))
10.0ms
(/ x (tan B))

series382.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
171.0ms
(/ x (tan B))
168.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
42.0ms
(/ 1 (sin B))

simplify1.1m

Counts
456 → 294
Calls
456 calls:
Slowest
979.0ms
(fma (/ (sqrt 1) (sqrt (sin B))) (/ (sqrt 1) (sqrt (sin B))) (- (* (/ x (cbrt (tan B))) (/ 1 (* (cbrt (tan B)) (cbrt (tan B)))))))
609.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ x (cbrt (tan B))) (/ 1 (* (cbrt (tan B)) (cbrt (tan B)))))))
603.0ms
(fma (/ (sqrt 1) 1) (/ (sqrt 1) (sin B)) (- (* (/ x (cbrt (tan B))) (/ 1 (* (cbrt (tan B)) (cbrt (tan B)))))))
572.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin B))) (/ (cbrt 1) (sqrt (sin B))) (- (* (/ x (cbrt (tan B))) (/ 1 (* (cbrt (tan B)) (cbrt (tan B)))))))
564.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin B)) (- (* (/ x (cbrt (tan B))) (/ 1 (* (cbrt (tan B)) (cbrt (tan B)))))))

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×*-un-lft-identity add-cube-cbrt
15×add-exp-log
13×add-cbrt-cube fma-neg associate-*l* prod-diff
7×pow1
6×associate-/r* associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-*r* associate-*l/
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 → 142
Calls
4 calls:
Slowest
47.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
29.0ms
(* (/ x (sin B)) (cos B))
10.0ms
(/ 1 (sin B))
10.0ms
(/ x (sin B))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
159.0ms
(* (/ x (sin B)) (cos B))
117.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
63.0ms
(/ x (sin B))
18.0ms
(/ 1 (sin B))

simplify6.0s

Counts
130 → 154
Calls
130 calls:
Slowest
568.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
379.0ms
(/ (* (* x x) x) (* (* (sin B) (sin B)) (sin B)))
235.0ms
(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
227.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
200.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin B)) (cbrt (sin B)))) (/ (cbrt 1) (cbrt (sin B))) (- (* (cos B) (/ x (sin B)))))

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (/ 1 (sin B)) (cos B)))
0.2b
(* (/ 1 (sin B)) (cos B))
0.1b
(/ 1 (sin B))
0.1b
(/ 1 (sin B))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt add-exp-log
30×*-un-lft-identity
29×times-frac add-cube-cbrt
22×add-cbrt-cube
16×associate-*l*
13×pow1 prod-exp
8×div-exp
7×cbrt-unprod
6×associate-/r* associate-/l*
4×expm1-log1p-u cbrt-undiv rec-exp 1-exp associate-*r* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×clear-num frac-2neg associate-*l/ *-commutative pow-flip inv-pow
1×associate-*r/
Counts
4 → 132
Calls
4 calls:
Slowest
41.0ms
(* x (* (/ 1 (sin B)) (cos B)))
22.0ms
(* (/ 1 (sin B)) (cos B))
8.0ms
(/ 1 (sin B))
5.0ms
(/ 1 (sin B))

series208.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(* x (* (/ 1 (sin B)) (cos B)))
22.0ms
(* (/ 1 (sin B)) (cos B))
19.0ms
(/ 1 (sin B))
17.0ms
(/ 1 (sin B))

simplify5.0s

Counts
108 → 144
Calls
108 calls:
Slowest
645.0ms
(* (* (* x x) x) (* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B))))
464.0ms
(* (* (* (/ 1 (sin B)) (/ 1 (sin B))) (/ 1 (sin B))) (* (* (cos B) (cos B)) (cos B)))
424.0ms
(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
337.0ms
(* (/ (* (* 1 1) 1) (* (* (sin B) (sin B)) (sin B))) (* (* (cos B) (cos B)) (cos B)))
230.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
1390×times-frac
881×add-sqr-sqrt
855×*-un-lft-identity
834×add-cube-cbrt
572×prod-diff
108×div-inv
21×add-exp-log
19×associate-/r*
15×difference-of-squares
14×associate-/r/
13×add-cbrt-cube fma-neg
10×div-exp
9×associate-/l*
7×distribute-lft-out--
6×pow1 add-log-exp
5×cbrt-undiv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp
2×pow-flip inv-pow
1×sub-neg flip3-- diff-log tan-quot frac-sub flip-- associate-/l/
Counts
4 → 767
Calls
4 calls:
Slowest
46.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
11.0ms
(/ 1 (/ (tan B) x))
6.0ms
(/ (tan B) x)
5.0ms
(/ 1 (sin B))

series373.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
136.0ms
(/ 1 (/ (tan B) x))
67.0ms
(/ (tan B) x)
21.0ms
(/ 1 (sin B))

simplify5.2m

Counts
1362 → 779
Calls
1362 calls:
Slowest
997.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin B))) (/ (cbrt 1) (sqrt (sin B))) (- (* (/ (cbrt 1) (/ (cbrt (tan B)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (tan B)) (cbrt (tan B))) (sqrt x))))))
817.0ms
(fma (- (/ (sqrt 1) (/ (sqrt (tan B)) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (tan B)) (* (cbrt x) (cbrt x)))) (* (/ (sqrt 1) (/ (sqrt (tan B)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (tan B)) (* (cbrt x) (cbrt x))))))
809.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (/ 1 (/ (sqrt (tan B)) (sqrt x))) (/ 1 (/ (sqrt (tan B)) (sqrt x))))))
717.0ms
(fma (- (/ 1 (/ (cbrt (tan B)) (cbrt x)))) (/ 1 (/ (* (cbrt (tan B)) (cbrt (tan B))) (* (cbrt x) (cbrt x)))) (* (/ 1 (/ (cbrt (tan B)) (cbrt x))) (/ 1 (/ (* (cbrt (tan B)) (cbrt (tan B))) (* (cbrt x) (cbrt x))))))
698.0ms
(fma (/ (sqrt 1) (* (cbrt (sin B)) (cbrt (sin B)))) (/ (sqrt 1) (cbrt (sin B))) (- (* (/ (sqrt 1) (/ (sqrt (tan B)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (tan B)) (sqrt x))))))

prune8.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.3s1791×body1280valid
1.8s1433×body640valid
1.7s4865×body80valid
1.2s703×body320valid
252.0ms350×body160valid