Details

Time bar (total: 32.7s)

sample916.0ms

Algorithm
intervals
Results
527.0ms48×body640valid
91.0ms57×body1280valid
41.0ms162×body80valid
16.0ms22×body320valid
7.0ms7×body160valid

simplify131.0ms

Calls
1 calls:
Slowest
130.0ms
(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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
13.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
4.0ms
(/ x (tan B))
2.0ms
(/ 1 (sin B))

series288.0ms

Calls
3 calls:
Slowest
159.0ms
(/ x (tan B))
106.0ms
(- (/ 1 (sin B)) (/ x (tan B)))
22.0ms
(/ 1 (sin B))

simplify3.6s

Calls
66 calls:
Slowest
140.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ 1 (tan B)) x)))
119.0ms
(fma (* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B)))) (cbrt (/ 1 (sin B))) (- (* (/ x (tan B)) 1)))
111.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (cos B) (/ x (sin B)))))
106.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (sqrt (/ x (tan B))) (sqrt (/ x (tan B))))))
98.0ms
(fma 1 (/ 1 (sin B)) (- (* (cos B) (/ x (sin B)))))

prune824.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite19.0ms

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
9.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
7.0ms
(/ (* x (cos B)) (sin B))
1.0ms
(* x (cos B))
1.0ms
(/ 1 (sin B))

series291.0ms

Calls
4 calls:
Slowest
126.0ms
(/ (* x (cos B)) (sin B))
114.0ms
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
35.0ms
(* x (cos B))
16.0ms
(/ 1 (sin B))

simplify10.9s

Calls
101 calls:
Slowest
354.0ms
(fma 1 (/ 1 (sin B)) (- (* (/ 1 (sin B)) (* x (cos B)))))
318.0ms
(fma (- (/ (cos B) (cbrt (sin B)))) (/ x (* (cbrt (sin B)) (cbrt (sin B)))) (* (/ (cos B) (cbrt (sin B))) (/ x (* (cbrt (sin B)) (cbrt (sin B))))))
313.0ms
(fma (sqrt (/ 1 (sin B))) (sqrt (/ 1 (sin B))) (- (* (/ 1 (sin B)) (* x (cos B)))))
292.0ms
(fma (- (/ 1 (sin B))) (* x (cos B)) (* (/ 1 (sin B)) (* x (cos B))))
290.0ms
(fma (- (/ (cos B) (cbrt (sin B)))) (/ x (* (cbrt (sin B)) (cbrt (sin B)))) (* (/ (cos B) (cbrt (sin B))) (/ x (* (cbrt (sin B)) (cbrt (sin B))))))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 tan-quot
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 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
9.0ms
(* (cbrt (tan B)) (cbrt (tan B)))
1.0ms
(cbrt (tan B))
1.0ms
(cbrt (tan B))
1.0ms
(cbrt (tan B))

series764.0ms

Calls
4 calls:
Slowest
206.0ms
(* (cbrt (tan B)) (cbrt (tan B)))
195.0ms
(cbrt (tan B))
191.0ms
(cbrt (tan B))
171.0ms
(cbrt (tan B))

simplify561.0ms

Calls
48 calls:
Slowest
69.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))
69.0ms
(+ (pow B 2/3) (+ (* 31/405 (pow (pow B 14) 1/3)) (* 2/9 (pow (pow B 8) 1/3))))
59.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))
52.0ms
(pow (/ (pow (sin B) 2) (pow (cos B) 2)) 1/3)
50.0ms
(+ (pow B 1/3) (+ (* 1/9 (pow (pow B 7) 1/3)) (* 13/405 (pow (pow B 13) 1/3))))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite9.0ms

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
6.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))

series669.0ms

Calls
4 calls:
Slowest
184.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
174.0ms
(cbrt (sin B))
170.0ms
(cbrt (sin B))
141.0ms
(cbrt (sin B))

simplify808.0ms

Calls
41 calls:
Slowest
169.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
165.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
163.0ms
(- (pow B 1/3) (+ (* 1/18 (pow (pow B 7) 1/3)) (* 1/3240 (pow (pow B 13) 1/3))))
124.0ms
(- (+ (pow B 2/3) (* 1/405 (pow (pow B 14) 1/3))) (* 1/9 (pow (pow B 8) 1/3)))
10.0ms
(pow (sin B) 1/3)

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 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

bsearch2.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
3.4s1733×body1280valid
1.9s1470×body640valid
1.8s4895×body80valid
1.6s680×body320valid
271.0ms373×body160valid