Details

Time bar (total: 21.7s)

sample253.0ms

Algorithm
intervals
Results
123.0ms60×body1280valid
51.0ms47×body640valid
39.0ms151×body80valid
19.0ms23×body320valid
8.0ms14×body160valid

simplify92.0ms

Calls
1 calls:
Slowest
92.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))

series285.0ms

Calls
3 calls:
Slowest
150.0ms
(/ x (tan B))
114.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
20.0ms
(/ 1 (sin B))

simplify3.0s

Calls
66 calls:
Slowest
99.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
96.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
94.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
94.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
90.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ x (tan B)) 1)))

prune733.0ms

Pruning

11 alts after pruning (11 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)))

rewrite17.0ms

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
9.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms
(* (/ x (sin B)) (cos B))
1.0ms
(/ 1 (sin B))
1.0ms
(/ x (sin B))

series347.0ms

Calls
4 calls:
Slowest
136.0ms
(* (/ x (sin B)) (cos B))
128.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
64.0ms
(/ x (sin B))
19.0ms
(/ 1 (sin B))

simplify2.0s

Calls
43 calls:
Slowest
560.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
137.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
103.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
98.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
84.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))

prune879.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize1.0ms

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)))

rewrite20.0ms

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
13.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms
(* (/ x (sin B)) (cos B))
1.0ms
(/ 1 (sin B))
1.0ms
(/ x (sin B))

series382.0ms

Calls
4 calls:
Slowest
141.0ms
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
131.0ms
(* (/ x (sin B)) (cos B))
85.0ms
(/ x (sin B))
24.0ms
(/ 1 (sin B))

simplify1.7s

Calls
43 calls:
Slowest
202.0ms
(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
159.0ms
(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
109.0ms
(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
93.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))
92.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))

prune836.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1 (tan B)))
0.2b
(/ 1 (tan B))
0.1b
(/ 1 (sin B))
0.0b
(- (/ 1 (sin B)) (* x (/ 1 (tan B))))

rewrite11.0ms

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

series352.0ms

Calls
4 calls:
Slowest
164.0ms
(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
123.0ms
(* x (/ 1 (tan B)))
51.0ms
(/ 1 (tan B))
14.0ms
(/ 1 (sin B))

simplify1.4s

Calls
43 calls:
Slowest
268.0ms
(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
96.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
86.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (tan B)) x)))
84.0ms
(/ (exp (/ 1 (sin B))) (exp (* x (/ 1 (tan B)))))
83.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))

prune857.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

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
3.2s1692×body1280valid
2.3s1450×body640valid
1.4s4912×body80valid
1.0s718×body320valid
198.0ms358×body160valid