Details

Time bar (total: 21.7s)

sample108.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
43.0ms256×body80nan

simplify55.0ms

Calls
1 calls:
Slowest
55.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
1.0b
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
0.9b
(/ (acos (/ (- g) h)) 3)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
20×add-sqr-sqrt times-frac add-cube-cbrt
8×add-cbrt-cube add-exp-log
6×associate-/r* div-sub associate-/l* add-log-exp
4×pow1 associate-+l- insert-posit16
3×acos-asin acos-neg distribute-frac-neg
2×cos-diff cbrt-undiv clear-num frac-2neg div-exp div-inv distribute-lft-out
1×+-commutative cos-sum sum-log flip3-+ frac-add flip-+
Calls
4 calls:
Slowest
30.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
10.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
9.0ms
(/ (acos (/ (- g) h)) 3)
4.0ms
(/ PI 3/2)

series176.0ms

Calls
4 calls:
Slowest
122.0ms
(cos (+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2)))
35.0ms
(+ (/ (acos (/ (- g) h)) 3) (/ PI 3/2))
18.0ms
(/ (acos (/ (- g) h)) 3)
0.0ms
(/ PI 3/2)

simplify1.9s

Calls
71 calls:
Slowest
242.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
227.0ms
(/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3 3) 3))
85.0ms
(* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (/ PI 3/2))))
81.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
71.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

55.3b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b
(sin (/ PI 3))
1.0b
(/ PI 3)
1.0b
(/ PI 3/2)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
2×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
1×cos-diff sub-neg sin-PI/3
Calls
4 calls:
Slowest
27.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
6.0ms
(/ PI 3)
5.0ms
(sin (/ PI 3))
4.0ms
(/ PI 3/2)

series147.0ms

Calls
4 calls:
Slowest
147.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms
(sin (/ PI 3))
0.0ms
(/ PI 3)
0.0ms
(/ PI 3/2)

simplify1.8s

Calls
58 calls:
Slowest
256.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
230.0ms
(/ (* (* PI PI) PI) (* (* 3 3) 3))
216.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
214.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)
190.0ms
(* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ PI 3/2))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (/ PI 3/2))))) 2)

prune979.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ PI 3/2)
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
1.0b
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
1.0b
(+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
81×times-frac
68×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×associate-/r* associate-/l*
10×add-cbrt-cube add-exp-log
6×add-log-exp
4×pow1 insert-posit16
3×cbrt-undiv clear-num frac-2neg div-exp frac-add div-inv
2×sqrt-undiv
1×frac-times +-commutative sum-log flip3-+ associate-*l/ associate-*r/ flip-+
Calls
4 calls:
Slowest
20.0ms
(+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2))
10.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
10.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
7.0ms
(/ PI 3/2)

series267.0ms

Calls
4 calls:
Slowest
120.0ms
(+ (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3))) (/ PI 3/2))
84.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
63.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3))
0.0ms
(/ PI 3/2)

simplify5.5s

Calls
214 calls:
Slowest
292.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
289.0ms
(* (exp (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3)))) (exp (/ PI 3/2)))
225.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (sqrt 3) (sqrt 3)) (sqrt 3)))
206.0ms
(+ (/ (acos (* -1 (/ g h))) (pow (sqrt 3) 2)) (* 2/3 PI))
193.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

55.3b
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
1.0b
(/ PI 3/2)
1.0b
(/ PI 3/2)
1.0b
(sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l*
4×pow1 insert-posit16 add-log-exp
2×cbrt-undiv cos-sum clear-num frac-2neg div-exp div-inv
1×cos-diff sub-neg
Calls
4 calls:
Slowest
21.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
16.0ms
(sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3))))
7.0ms
(/ PI 3/2)
7.0ms
(/ PI 3/2)

series181.0ms

Calls
4 calls:
Slowest
181.0ms
(cos (- (/ (acos (/ g h)) 3) (/ PI 3/2)))
0.0ms
(/ PI 3/2)
0.0ms
(sin (* (sqrt (/ PI 3)) (sqrt (/ PI 3))))
0.0ms
(/ PI 3/2)

simplify1.5s

Calls
54 calls:
Slowest
435.0ms
(/ (* (cbrt PI) (cbrt PI)) (* (cbrt 3/2) (cbrt 3/2)))
241.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
205.0ms
(/ (* (* PI PI) PI) (* (* 3/2 3/2) 3/2))
60.0ms
(/ (* (cbrt PI) (cbrt PI)) (* (cbrt 3/2) (cbrt 3/2)))
49.0ms
(cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI)))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.7s8000×body80valid
1.4s7987×body80nan